Article
Mathematics, Applied
Yuanfu Shao
Summary: This work studies a stochastic predator-prey system with S-type distributed time delays, regime switching, and Levy jumps. By utilizing stochastic differential comparison theory and inequality techniques, the extinction and persistence, asymptotic stability in distribution, and optimal harvesting effort of each species in the model are examined. Simulation examples are provided to illustrate the theoretical results and explore the effects of regime switching, distributed time delays, and Levy jumps on the system dynamics.
Article
Mathematics, Applied
Hong Qiu, Yanzhang Huo
Summary: This paper examines a stochastic AIDS model driven by Levy jumps and determines the conditions for persistence and extinction. It also demonstrates through numerical simulations that reducing the transmission coefficient beta(i) can decrease the risk of disease transmission.
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
(2022)
Article
Mathematics, Applied
Jennifer Lawson, Elena Braverman
Summary: This study examines a logistic differential equation with impulsive delayed harvesting, where the deduction information depends on the population size during previous impulses. By analyzing the dynamics of high-order difference equations, it is concluded that the delay in the impulsive condition does not affect the optimality of the yield, but sustainability is generally delay-dependent. The study explores maximal and other types of yields, provides stability tests, and explicit sufficient conditions. Additionally, it demonstrates that persistence of the solution is not guaranteed for all positive initial conditions and extinction in finite time is possible, as shown in the simulations. (C) 2022 Elsevier B.V. All rights reserved.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Mathematics
Jaouad Danane, Delfim F. M. Torres
Summary: Our study focuses on the behavior analysis of a stochastic predator-prey model with a time delay and logistic growth of prey under the influence of Levy noise. We establish the existence, uniqueness, and boundedness of a positive solution that spans globally. We explore the conditions for extinction and identify criteria for persistence. Numerical simulations validate our theoretical findings and illustrate the dynamics of the stochastic delayed predator-prey model based on different criteria.
Article
Multidisciplinary Sciences
Xiangjun Dai, Jianjun Jiao, Qi Quan
Summary: In this paper, a stochastic impulsive single-species population model with migration driven by environmental toxicant is proposed and studied. The existence and uniqueness of global positive solutions are discussed by constructing the Lyapunov function. Sufficient conditions for extinction, stochastic persistence, and persistence in the mean of the single-species population are obtained. Finally, numerical simulations are presented to illustrate the results. These findings provide insights for the conservation and management of species in polluted environments.
SCIENTIFIC REPORTS
(2023)
Article
Mathematics, Applied
Peilin Yu, Feiqi Deng, Yuanyuan Sun, Fangzhe Wan
Summary: This note investigates the stabilities for impulsive stochastic delayed Cohen-Grossberg neural networks driven by Levy noise. The stability conditions for input-to-state stability (ISS), integral input-to-state stability (iISS), and phi(theta)(t)-weight input-to-state stability are obtained. The results show that the stochastic systems are ISS under certain conditions, and the impulse can effectively stabilize the systems.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Automation & Control Systems
Mingzhu Wang, Peng Li, Xiaodi Li
Summary: This paper investigates the input-to-state stability (ISS) and integral input-to-state stability (iISS) of nonlinear impulsive systems in the context of event-triggered impulsive control (ETIC). It proposes sufficient conditions to avoid Zeno behavior and ensure the ISS/iISS property of impulsive systems, considering external inputs in both continuous dynamics and impulsive dynamics. A novel event-triggered delayed impulsive control (ETDIC) strategy is presented to establish a relationship between event-triggered parameters, impulse strength, and time delays in impulses. The results show that time delays in impulses contribute to the stabilization of impulsive systems in the ISS/iISS sense.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2023)
Article
Mathematics, Interdisciplinary Applications
Xingzhi Chen, Xin Xu, Baodan Tian, Dong Li, Dan Yang
Summary: This paper proposes a stochastic delayed chemostat model and discusses the existence and uniqueness of its global solution, as well as the threshold and optimal control conditions for the persistence and extinction of microorganisms. Numerical examples are provided to support the theoretical analysis, and the results show that stochastic noise and time delay play vital roles in controlling the persistence and extinction of microorganisms.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematical & Computational Biology
Yongxin Gao, Shuyuan Yao
Summary: In this paper, a modified Leslie-Gower Holling-type II two-predator one-prey stochastic model in polluted environments with impulsive toxicant input is proposed with an OrnsteinUhlenbeck process to enhance environmental stochasticity. The sharp sufficient conditions for persistence in the mean and extinction are established, indicating close relationships between species persistence and extinction, toxicants, and environmental stochasticity. The theoretical results are further validated through numerical simulations.
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2021)
Article
Automation & Control Systems
Wenlu Liu, Peng Li, Xiaodi Li
Summary: This paper investigates the input-to-state stability (ISS) and integral-input-to-state stability (iISS) of nonlinear impulsive systems with hybrid delayed impulses, and obtains some sufficient conditions ensuring ISS and iISS while fully considering the hybrid effects of delayed impulses.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2022)
Article
Mathematics, Applied
Mohamed Mehdaoui, Abdesslem Lamrani Alaoui, Mouhcine Tilioua
Summary: The paper aims to enhance the existing stochastic epidemic models by incorporating new disease characteristics, such as vaccination validation time, stages of vaccine, deaths linked to the vaccine, and environmental noise caused by sociocultural changes. It extends the standard SVIR epidemic model to a new mathematical model governed by a system of coupled stochastic delay differential equations. The model's mathematical well-posedness, biological feasibility, disease extinction, and persistence are analyzed and supported by numerical simulations.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Automation & Control Systems
Pengfei Wang, Xiaolei Wang, Huan Su
Summary: This paper investigates the input-to-state stability (ISS) of mild solutions to impulsive stochastic infinite dimensional systems with Poisson jumps, establishing sufficient conditions for ISS with stabilizing and destabilizing impulses using Yosida strong solutions approximation and Ito's formula. The merits of the conditions include non-exponential ISS-Lyapunov function, average dwell-time condition, and explicit effects of impulses. Additionally, a more general result is presented for exponential ISS-Lyapunov function suitable for destabilizing and stabilizing impulses simultaneously.
Article
Ecology
Yongxin Gao, Fan Yang
Summary: This paper investigates a modified Leslie-Gower and Holling-type II two-predator one-prey model with Levy jumps. An Ornstein-Uhlenbeck process is employed to capture the environmental stochasticity, and it is proved that a unique positive solution exists. Sufficient conditions for the persistence in the mean and extinction of each species are established, and numerical simulations are provided to support the main findings.
JOURNAL OF BIOLOGICAL DYNAMICS
(2022)
Article
Mathematics, Applied
Dongdong Gao, Daipeng Kuang, Jianli Li
Summary: This paper focuses on the existence, uniqueness, and exponential stability of mild solutions for impulsive stochastic differential equations with Poisson jumps and time-varying delays. By utilizing the successive approximation method, the criteria for the existence and uniqueness of mild solutions are obtained. An improved impulsive-integral inequality is established to prove the exponential stability in the pth moment of the mild solution, which improves existing results. An example and numerical simulations are provided to demonstrate the effectiveness of the theoretical findings.
Article
Mathematics
Surendra Kumar, Shobha Yadav
Summary: This manuscript investigates a class of stochastic differential equations in a Hilbert space steered by Poisson jumps and impulses, using the successive approximation method to prove the existence of a solution and studying the continuous dependence of solutions on initial data. The existence of optimal state-control pairs for the associated Lagrangian problem is also discussed, with an example provided to validate the theoretical results.
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
(2021)
Article
Engineering, Industrial
Jianxin Chen, Tonghua Zhang, Yong-wu Zhou, Rui Hou
Summary: This study investigates the ordering strategy of a risk-averse retailer under buyback guarantee financing (BGF) and stochastic demand using single-period and multi-period models in the newsvendor framework. It is found that the optimal ordering quantity is influenced by various parameters, and the multi-period model exhibits more complex dynamic behavior compared to the single-period model.
INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH
(2022)
Article
Mathematics, Applied
Haokun Qi, Xinzhu Meng, Tasawar Hayat, Aatef Hobiny
Summary: This paper proposes a stochastic predator-prey model with hunting cooperation and nonlinear perturbation of white noise. Sufficient criteria for the existence of a unique ergodic stationary distribution are established by constructing suitable Lyapunov functions. It is revealed that the white noise significantly impacts the dynamical behavior of the model.
APPLIED MATHEMATICS LETTERS
(2022)
Article
Surgery
Yun-Liang Xie, Zhou Yang, Xiao Feng, Qing Yang, Lin-Sen Ye, Xiao-Bin Li, Hui Tang, Ying-Cai Zhang, Wei Liu, Tong Zhang, Bin-Sheng Fu, Shu-Hong Yi, Yang Yang, Gui-Hua Chen
Summary: This study analyzed CTCs in 56 patients using the CanPatrolTM platform combined with RNA-ISH, revealing the significance of interstitial CTCs in predicting post-transplant tumor recurrence among HCC patients.
ASIAN JOURNAL OF SURGERY
(2022)
Article
Biology
Guohao Shen, Kani Chen, Jian Huang, Yuanyuan Lin
Summary: In this paper, a linearized maximum rank correlation estimator is proposed for the single-index model. The estimator has a closed-form expression and is robust to outliers in the response. It does not require knowledge of the unknown link function or the error distribution. Extensive simulation studies and an application example demonstrate the effectiveness of the proposed method.
Article
Crystallography
Tong Zhang, Tong Li, Jinlin Lu, Qi Guo, Jian Xu
Summary: The clogging behavior of micro-orifices under a flow accelerated condition was studied after 500 h of immersion in high-temperature water. The results showed that the residual area of the micro-orifice decreased to one-third of its original size due to the deposition of corrosion products. The clogging process can be divided into three stages: stable deposition, quick recovery, and dynamic equilibrium. The corrosion products were porous and composed of multiple deposited particles.
Article
Chemistry, Physical
Lu Ren, Shicheng Wang, Jian Xu, Tong Zhang, Qi Guo, Dongyang Zhang, Jiajia Si, Xiaohui Zhang, Hongying Yu, Tetsuo Shoji, Dongbai Sun
Summary: The fouling in the steam generator has a significant impact on the internal integrity, heat transfer efficiency, and water chemistry control. The growth direction of fouling particles is influenced by the oxide layer. The nucleation, aggregation, adsorption, and growth of oxides are significantly affected by fouling deposition, which may have opposing impacts on the reliability of steam generator tubes.
APPLIED SURFACE SCIENCE
(2022)
Article
Engineering, Electrical & Electronic
Tong Zhang, Gaojie Chen, Rui Wang
Summary: This paper investigates the sum-secure degrees-of-freedom of a three-user MIMO broadcast channel with delayed CSIT and confidential messages. Non-trivial upper and lower bounds for the sum-secure degrees-of-freedom are derived using statistical equivalence property, security constraints, and permutations. Two transmission schemes with holistic and sequential higher-order symbol generation are proposed, along with a redundancy reduction approach for security analysis. The proposed bounds are tighter than existing ones and the lower bound showcases a three-user coding gain.
IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY
(2023)
Article
Chemistry, Multidisciplinary
Tongpo Zhang, Yunze Song, Zejian Kong, Tiantian Guo, Miguel Lopez-Benitez, Enggee Lim, Fei Ma, Limin Yu
Summary: This paper discusses the challenges of robot tracking under partial occlusion and compares the system performance of three recent DL models. A series of experiments are conducted to analyze the performance metrics under different scenarios and settings. Based on the metrics, a comparative metric P is devised to further compare the overall performance of the three DL models. The SSD model achieved the highest P score, outperforming the Faster RCNN and YOLOv5 models in both testing data sets.
APPLIED SCIENCES-BASEL
(2023)
Article
Oncology
Gang Deng, Jun-kai Ren, Hai-tao Wang, Liang Deng, Zu-bing Chen, You-wen Fan, Ya-jun Tang, Tong Zhang, Di Tang
Summary: This study found that the tumor burden score (TBS) has prognostic value in patients with combined hepatocellular-cholangiocarcinoma (cHCC-CCA). TBS is associated with long-term outcomes, with high TBS being related to poorer disease-free survival (DFS) and overall survival (OS), and it is identified as an independent prognostic indicator.
FRONTIERS IN ONCOLOGY
(2023)
Article
Mathematics, Applied
Yu Yang, Tonghua Zhang, Jinling Zhou
Summary: This paper investigates the global stability of disease-free steady state for a degenerate reaction-diffusion host-pathogen model with spatial heterogeneity when R0 = 1. The study is a continuation of the work by Wang and Dai (2022).
APPLIED MATHEMATICS LETTERS
(2023)
Article
Mathematics, Interdisciplinary Applications
Jianxin Chen, Rui Hou, Lu Xiao, Tonghua Zhang, Yongwu Zhou
Summary: Considering corporate social responsibility, this paper examines the equilibrium strategies of a closed-loop supply chain consisting of a manufacturer, a fairness-concerned retailer, and a capital-constrained recycler in both static and dynamic frameworks. The study incorporates supply chain financing and fairness concerns and explores the complex dynamics and impacts of parameters on decision-making and system stability.
CHAOS SOLITONS & FRACTALS
(2023)
Proceedings Paper
Computer Science, Artificial Intelligence
Han Zhong, Wei Xiong, Jiyuan Tan, Liwei Wang, Tong Zhang, Zhaoran Wang, Zhuoran Yang
Summary: This paper studies offline two-player zero-sum Markov games (MGs) and proposes a pessimism-based algorithm called pessimistic minimax value iteration (PMVI) to overcome the challenges in finding an approximate Nash equilibrium. The paper also establishes a data-dependent upper bound and proves an information-theoretical lower bound, showing that the proposed algorithm is nearly minimax optimal. The results highlight the importance of relative uncertainty in achieving sample efficiency in offline MGs.
INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 162
(2022)
Proceedings Paper
Computer Science, Artificial Intelligence
Xiao Zhou, Yong Lin, Weizhong Zhang, Tong Zhang
Summary: Invariant Risk Minimization (IRM) is an emerging technique for addressing generalization issues caused by distributional shift. However, there is a contradiction between model trainability and generalization ability in IRM, as overfitting caused by overparameterization can harm its generalization ability. To tackle this problem, this paper proposes Sparse Invariant Risk Minimization (SparseIRM) which employs a global sparsity constraint to select invariant features and prevent spurious features from leaking in. Theoretical analysis and empirical results demonstrate the effectiveness of SparseIRM.
INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 162
(2022)
Proceedings Paper
Computer Science, Artificial Intelligence
Xiao Zhou, Yong Lin, Renjie Pi, Weizhong Zhang, Renzhe Xu, Peng Cui, Tong Zhang
Summary: This paper proposes a method called MAPLE to effectively address OOD problem in large overparameterized models. By reweighting the training samples and considering a bilevel formulation to tackle overfitting, the superiority of MAPLE is empirically verified.
INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 162
(2022)
Article
Biochemical Research Methods
Chengxian Li, Haihong Liu, Tonghua Zhang, Yuan Zhang
Summary: This paper investigates a model of miR-9/Hes1 interaction network with time delay and diffusion effect. The stability of the positive equilibrium and the existence of local Hopf bifurcation and Turing-Hopf bifurcation are analyzed. An algorithm for determining the direction, stability, and period of the corresponding bifurcating periodic solutions is presented. The results show that time delay can induce oscillation in quiescent progenitors but has little effect on the differentiated state. The integrated effect of delay and diffusion can lead to spatially inhomogeneous patterns. Moreover, spatially homogeneous/inhomogeneous periodic solutions can coexist when the diffusion coefficients are appropriately small.
IEEE-ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS
(2022)
Article
Physics, Multidisciplinary
Xiaoyu Shi, Jian Zhang, Xia Jiang, Juan Chen, Wei Hao, Bo Wang
Summary: This study presents a novel framework using offline reinforcement learning to improve energy consumption in road transportation. By leveraging real-world human driving trajectories, the proposed method achieves significant improvements in energy consumption. The offline learning approach demonstrates generalizability across different scenarios.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Junhyuk Woo, Soon Ho Kim, Hyeongmo Kim, Kyungreem Han
Summary: Reservoir computing (RC) is a new machine-learning framework that uses an abstract neural network model to process information from complex dynamical systems. This study investigates the neuronal and network dynamics of liquid state machines (LSMs) using numerical simulations and classification tasks. The findings suggest that the computational performance of LSMs is closely related to the dynamic range, with a larger dynamic range resulting in higher performance.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Yuwei Yang, Zhuoxuan Li, Jun Chen, Zhiyuan Liu, Jinde Cao
Summary: This paper proposes an extreme learning machine (ELM) algorithm based on residual correction and Tent chaos sequence (TRELM-DROP) for accurate prediction of traffic flow. The algorithm reduces the impact of randomness in traffic flow through the Tent chaos strategy and residual correction method, and avoids weight optimization using the iterative method. A DROP strategy is introduced to improve the algorithm's ability to predict traffic flow under varying conditions.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Chengwei Dong, Min Yang, Lian Jia, Zirun Li
Summary: This work presents a novel three-dimensional system with multiple types of coexisting attractors, and investigates its dynamics using various methods. The mechanism of chaos emergence is explored, and the periodic orbits in the system are studied using the variational method. A symbolic coding method is successfully established to classify the short cycles. The flexibility and validity of the system are demonstrated through analogous circuit implementation. Various chaos-based applications are also presented to show the system's feasibility.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Viorel Badescu
Summary: This article discusses the maximum work extraction from confined particles energy, considering both reversible and irreversible processes. The results vary for different types of particles and conditions. The concept of exergy cannot be defined for particles that undergo spontaneous creation and annihilation. It is also noted that the Carnot efficiency is not applicable to the conversion of confined thermal radiation into work.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
P. M. Centres, D. J. Perez-Morelo, R. Guzman, L. Reinaudi, M. C. Gimenez
Summary: In this study, a phenomenological investigation of epidemic spread was conducted using a model of agent diffusion over a square region based on the SIR model. Two possible contagion mechanisms were considered, and it was observed that the number of secondary infections produced by an individual during its infectious period depended on various factors.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Zuan Jin, Minghui Ma, Shidong Liang, Hongguang Yao
Summary: This study proposes a differential variable speed limit (DVSL) control strategy considering lane assignment, which sets dynamic speed limits for each lane to attract vehicle lane-changing behaviors before the bottleneck and reduce the impact of traffic capacity drop. Experimental results show that the proposed DVSL control strategy can alleviate traffic congestion and improve efficiency.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Matthew Dicks, Andrew Paskaramoorthy, Tim Gebbie
Summary: In this study, we investigate the learning dynamics of a single reinforcement learning optimal execution trading agent when it interacts with an event-driven agent-based financial market model. The results show that the agents with smaller state spaces converge faster and are able to intuitively learn to trade using spread and volume states. The introduction of the learning agent has a robust impact on the moments of the model, except for the Hurst exponent, which decreases, and it can increase the micro-price volatility as trading volumes increase.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Zhouzhou Yao, Xianyu Wu, Yang Yang, Ning Li
Summary: This paper developed a cooperative lane-changing decision system based on digital technology and indirect reciprocity. By introducing image scoring and a Q-learning based reinforcement learning algorithm, drivers can continuously evaluate gains and adjust their strategies. The study shows that this decision system can improve driver cooperation and traffic efficiency, achieving over 50% cooperation probability under any connected vehicles penetration and traffic density, and reaching 100% cooperation probability under high penetration and medium to high traffic density.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Josephine Nanyondo, Henry Kasumba
Summary: This paper presents a multi-class Aw-Rascle (AR) model with area occupancy expressed in terms of vehicle class proportions. The qualitative properties of the proposed equilibrium velocity and the stability conditions of the model are established. The numerical results show the effect of proportional densities on the flow of vehicle classes, indicating the realism of the proposed model.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Oliver Smirnov
Summary: This study proposes a new method for simultaneously estimating the parameters of the 2D Ising model. The method solves a constrained optimization problem, where the objective function is a pseudo-log-likelihood and the constraint is the Hamiltonian of the external field. Monte Carlo simulations were conducted using models of different shapes and sizes to evaluate the performance of the method with and without the Hamiltonian constraint. The results demonstrate that the proposed estimation method yields lower variance across all model shapes and sizes compared to a simple pseudo-maximum likelihood.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Przemyslaw Chelminiak
Summary: The study investigates the first-passage properties of a non-linear diffusion equation with diffusivity dependent on the concentration/probability density through a power-law relationship. The survival probability and first-passage time distribution are determined based on the power-law exponent, and both exact and approximate expressions are derived, along with their asymptotic representations. The results pertain to diffusing particles that are either freely or harmonically trapped. The mean first-passage time is finite for the harmonically trapped particle, while it is divergent for the freely diffusing particle.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Hidemaro Suwa
Summary: The choice of transition kernel is crucial for the performance of the Markov chain Monte Carlo method. A one-parameter rejection control transition kernel is proposed, and it is shown that the rejection process plays a significant role in determining the sampling efficiency.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
Article
Physics, Multidisciplinary
Xudong Wang, Yao Chen
Summary: This article investigates the joint influence of expanding medium and constant force on particle diffusion. By starting from the Langevin picture and introducing the effect of external force in two different ways, two models with different force terms are obtained. Detailed analysis and derivation yield the Fokker-Planck equations and moments for the two models. The sustained force behaves as a decoupled force, while the intermittent force changes the diffusion behavior with specific effects depending on the expanding rate of the medium.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2024)
