Article
Mathematics, Applied
Roshan Ara, Saeed Ahmad, Zareen A. Khan, Mostafa Zahri
Summary: This paper extends the cholera human-to-human direct transmission model to a stochastic framework. A Lyapunov function is used to investigate the global stability of the stochastic cholera epidemic, and the threshold quantity of the extended model is found. Sufficient conditions for the extinction and persistence of the cholera infection are established using the theory of stopping time. Numerical simulations are performed to analyze the scenarios of extinction and persistence of the dynamic of the cholera infection.
Article
Mathematics, Applied
Wenjie Li, Guodong Li, Jinde Cao, Fei Xu
Summary: This study presents and examines a new diffusive SIRI epidemic model incorporating logistic source and a general incidence rate. Utilizing the construction of Lyapunov functions, the global asymptotic stability of equilibria and the relationship between the basic reproduction number and the local basic reproduction number are thoroughly examined. The persistence and extinction of the infective population are also discussed. Theoretical findings are validated through five illustrative examples.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics
Miled El Hajji, Dalal M. Alshaikh, Nada A. Almuallem
Summary: Infectious diseases encompass a wide range of diseases caused by various pathogens. The study of population behaviors in relation to seasonal environment is crucial for predicting disease transmission and controlling it. In this research, a five-dimensional system for a fatal disease in a seasonal environment was considered. The study focused on the global stability of steady states and the existence of a periodic orbit. The findings showed that the disease dynamics are determined by the basic reproduction number (R-0), and numerical investigations supported the theoretical results.
Article
Computer Science, Interdisciplinary Applications
A. Rathinasamy, M. Chinnadurai, S. Athithan
Summary: The study investigates a stochastic sex-structured HIV/AIDS epidemic model with screening of infectives, showing that the model has a unique global positive solution with boundedness and permanence. Suitable Lyapunov functions are selected for investigating persistence and extinction of the disease, which is verified through numerical experiments.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2021)
Article
Mathematics, Applied
Baoquan Zhou, Daqing Jiang, Yucong Dai, Tasawar Hayat
Summary: This paper investigates an SIRI epidemic model with nonlinear incidence rate and high-order stochastic perturbation. The existence and uniqueness of an ergodic stationary distribution, probability density function, and conditions for disease extinction are discussed. The theoretical results are verified through empirical examples and numerical simulations.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Materials Science, Multidisciplinary
Amine El Koufi, Abdelkrim Bennar, Nouhaila El Koufi, Noura Yousfi
Summary: In this paper, a stochastic SIQR model is proposed to study the impact of Levy jumps and Beddington-DeAngelis incidence rate on disease transmission. The theoretical results are illustrated through numerical simulations, indicating that white and Levy noises influence the transmission dynamics of the system.
RESULTS IN PHYSICS
(2021)
Article
Mathematics, Applied
Xiaodong Wang, Chunxia Wang, Kai Wang
Summary: This paper introduces a stochastic SICA epidemic model with standard incidence rate for HIV transmission, and establishes the sufficient conditions for disease extinction and persistence. Numerical simulations demonstrate that random perturbations can suppress disease outbreaks, and reducing the transmission coefficient of HIV while increasing the strength of stochastic perturbation can decrease the risk of HIV transmission.
ADVANCES IN DIFFERENCE EQUATIONS
(2021)
Article
Mathematics, Applied
Xiangming Zhao, Jianping Shi
Summary: This paper studies a stochastic SIR model with nonlinear incidence and recovery rate. It proves the existence of a unique global positive solution for any initial value of the system, provides sufficient conditions for disease extinction or persistence, and analyzes the influence of the threshold & SIM;R0 of the stochastic SIR model on disease state transition. Additionally, it proves that the system has a stationary distribution under some given parameter conditions by building an appropriate stochastic Lyapunov function and using the equivalent condition of the Hasminskii theorem. Finally, the correctness of these theoretical results are validated by numerical simulations.
Article
Mathematics, Applied
Xiangming Zhao, Jianping Shi
Summary: This paper studies a stochastic SIR model with nonlinear incidence and recovery rate. The paper proves the existence of a unique global positive solution for any initial value of the system. It also provides sufficient conditions for disease extinction or persistence and analyzes the influence of threshold and R0 on disease state transition in the stochastic SIR model. Additionally, the paper demonstrates the system's stationary distribution under certain parameter conditions and validates the theoretical results through numerical simulations.
Article
Mathematics, Applied
Jianguo Sun, Miaomiao Gao
Summary: This article focuses on the stochastic SIRS spreading threshold dynamical model with environmental noise, proving the existence of a unique positive solution and introducing the ergodic stationary distribution through appropriate Lyapunov functions. It also considers the conditions of extinction or permanence of the SIRS epidemic model.
JOURNAL OF MATHEMATICAL INEQUALITIES
(2022)
Article
Mathematics, Applied
Bingtao Han, Baoquan Zhou, Daqing Jiang, Tasawar Hayat, Ahmed Alsaedi
Summary: This paper studies a stochastic SEI epidemic model with general distributed delay, proving the existence and uniqueness of a global positive solution and verifying the existence of a stationary distribution under a stochastic criterion. The study also obtains exact probability density functions around the quasi-stable equilibrium and establishes conditions for disease extinction. Numerical simulations are provided to reveal the impact of stochastic perturbations on disease transmission.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Mathematics, Applied
Yan Zhang, Shujing Gao, Shihua Chen
Summary: An epidemic model incorporating double saturated incidence rates and relapse was proposed and analyzed in this paper. The intensity of relapse and stochastic perturbations greatly affected the dynamics of epidemic systems. Stronger relapse rates were detrimental to disease control.
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
(2022)
Article
Physics, Multidisciplinary
T. Tamil Selvan, M. Kumar
Summary: The study of dynamics of epidemics, especially double epidemics, is highly important due to the increasing global warming and limited medical resources. This study focuses on an epidemic model with SIR and SIRS mechanisms. The local asymptotic stability and global stability of equilibrium points are proven using the Lyapunov function. The existence, extinction, and persistence of the stochastic system are also demonstrated. Numerical examples are provided to support the theoretical results.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2023)
Article
Mathematics, Applied
Tingting Wang, Shulin Sun
Summary: In this paper, a stochastic SIQR epidemic model with non-monotone incidence is investigated. The disease-free equilibrium of the deterministic model is proven to be globally asymptotically stable, and the existence and uniqueness of positive solution to the stochastic model is obtained. The conditions for extinction of the stochastic model are established, and the existence of a unique stationary distribution is proven. Numerical examples support the theoretical results, demonstrating the importance of quarantine strength and noise intensity in accelerating disease extinction during an epidemic.
Article
Mathematical & Computational Biology
Tingting Xue, Xiaolin Fan, Zhiguo Chang
Summary: A stochastic SIRS epidemic model with vaccination is discussed in this paper. A new stochastic threshold R-0(s) is determined. It is found that when the noise is very low (R-0(s) < 1), the disease becomes extinct, and if R-0(s) > 1, the disease persists. Furthermore, the solution of the stochastic model is shown to oscillate around the endemic equilibrium point, with the intensity of the fluctuation proportional to the intensity of the white noise. Computer simulations are used to support these findings.
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(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
Mathematics, Interdisciplinary Applications
Hairui Yuan, Xinzhu Meng
Summary: This paper investigates the effect of time delay in payoffs on the dynamics of labor division games. It is found that a Hopf bifurcation occurs when the time delay exceeds a critical value, leading to oscillation near the equilibrium point.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Cell Biology
Jing Liang, Zijie Long, Yanyan Zhang, Jundan Wang, Xiaotong Chen, Xiangfu Liu, Yurong Gu, Wanling Zhang, Tong Zhang, Youming Chen, Genglin Zhang, Weijun Sun, Dongming Kuang, Zhiliang Gao, Yubao Zheng
Summary: During the progression of HBV-related liver diseases, the polarization of macrophages gradually shifts from classical activation to alternative activation. The increase in the percentage of alternatively activated macrophages and the suppression of CLIC3 may serve as potential indicators for poor prognosis in patients with HBV-ACLF.
IMMUNOLOGY AND CELL BIOLOGY
(2022)
Article
Genetics & Heredity
Yu-Qian Song, Shi-Di Hu, Xu Lin, Xiang-He Meng, Xiao Wang, Yin-Hua Zhang, Cheng Peng, Rui Gong, Tao Xu, Tong Zhang, Chen-Zhong Li, Dao-Yan Pan, Jia-Yi Yang, Jonathan Greenbaum, Jie Shen, Hong-Wen Deng
Summary: There are shared genetic mechanisms between bone mineral density and birth weight, and PDXDC1 is a novel shared gene related to both traits. Elevated expression of PDXDC1 is associated with higher bone mineral density and lower n-6/n-3 PUFA ratio, indicating a bone protective effect.
JOURNAL OF MOLECULAR MEDICINE-JMM
(2022)
Article
Statistics & Probability
Ruijian Han, Yiming Xu, Kani Chen
Summary: This article proposes a general framework to model the mutual interactions in a network and shows that the maximum likelihood estimator is consistent under certain conditions. The analysis also reveals an important connection between graph topology and model consistency.
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
(2022)
Article
Mathematics, Applied
Haokun Qi, Xinzhu Meng, Tasawar Hayat, Aatef Hobiny
Summary: This paper proposes a reaction-diffusion predator-prey model with fear effect under a predator-poisoned environment and analyzes its stability and bifurcation behavior. The study finds that the proper diffusion rate is beneficial for the survival of populations and changes in diffusion rates can cause steady state bifurcations. The validity of the theoretical analysis is verified through numerical simulations.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(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)
Proceedings Paper
Computer Science, Artificial Intelligence
Yong Lin, Hanze Dong, Hao Wang, Tong Zhang
Summary: Generalization under distributional shift is a challenge in machine learning. Invariant Risk Minimization (IRM) is a promising framework to address this issue, but recent studies have shown its poor performance on deep models, which can be attributed to overfitting. We propose Bayesian Invariant Risk Minimization (BIRM) to mitigate this problem by introducing Bayesian inference into IRM, and experimental results demonstrate its superiority over existing IRM methods.
2022 IEEE/CVF CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION (CVPR 2022)
(2022)
Proceedings Paper
Computer Science, Artificial Intelligence
Qing Lian, Botao Ye, Ruijia Xu, Weilong Yao, Tong Zhang
Summary: This paper investigates the geometric consistency problem in monocular 3D object detection and proposes geometry-aware data augmentation methods to enhance the consistency. The research shows that by using geometric consistency constraints, the proposed augmentation techniques achieve state-of-the-art results in benchmark tests and are suitable for semi-supervised training and cross-dataset generalization.
2022 IEEE/CVF CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION (CVPR 2022)
(2022)
Proceedings Paper
Computer Science, Artificial Intelligence
Ying Su, Hongming Zhang, Yangqiu Song, Tong Zhang
Summary: Word sense disambiguation (WSD) is a crucial problem in natural language processing community. Current methods achieve decent performance on common senses, but struggle with rare and zero-shot senses. By investigating the statistical relation between word frequency rank and sense distribution, a Z-reweighting method is proposed to address data imbalance issues in training, leading to performance improvement.
PROCEEDINGS OF THE 60TH ANNUAL MEETING OF THE ASSOCIATION FOR COMPUTATIONAL LINGUISTICS (ACL 2022), VOL 1: (LONG PAPERS)
(2022)
Proceedings Paper
Automation & Control Systems
Yuke Zhang, Xinzhu Meng
Summary: In this study, a stochastic predator-prey system is established to investigate its well-posedness, extinction, and persistence. The main results are verified through numerical simulations, demonstrating that white noise can suppress the survival of populations.
Proceedings Paper
Automation & Control Systems
Yue Dong, Xinzhu Meng
Summary: This paper proposes a stochastic chemostat model with mixed nonlinear incidence and proves the existence and uniqueness of global positive solutions. It also demonstrates the persistence of the chemostat model and the boundedness of its solutions for any initial condition by constructing a Lyapunov function. Additionally, a sufficient condition for the existence of an ergodic stationary distribution in the system is obtained. The numerical simulation results show that random perturbations can change the fate of microorganisms.
Review
Computer Science, Information Systems
Tiantian Guo, Tongpo Zhang, Enggee Lim, Miguel Lopez-Benitez, Fei Ma, Limin Yu
Summary: As a mathematical tool, wavelet theory has various applications and is constantly evolving. This article reviews the development history of wavelet theory and focuses on the design and expansion of wavelet transform. It also discusses the advantages of rational wavelet transform and the combination of wavelet theory and neural networks. The article introduces the categories of wavelet-based applications and summarizes the advantages of wavelet analysis in different scenarios. The review clarifies new research challenges and provides guidance for potential wavelet-based applications and new system designs.
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)
