Article
Mathematics, Interdisciplinary Applications
Amine El Koufi
Summary: This work investigates a stochastic SIS epidemic model with Levy jumps and nonlinear incidence rates. The authors propose a mathematical model and establish conditions for the extinction and persistence of the disease in the population. Numerical simulations are conducted to illustrate the theoretical results. The study concludes that white noise and Levy jumps have an influence on the transmission of the epidemic.
Article
Mathematics, Interdisciplinary Applications
Na Liu, Jie Fang, Junwei Sun, Sanyi Li
Summary: In this paper, a fractional-order SIR epidemic model is proposed on a two-layer weighted network, and the stability of the model is investigated. It is concluded that there is no endemic equilibrium, and a targeted immunity control based on age structure is proposed.
FRACTAL AND FRACTIONAL
(2022)
Article
Mathematics, Applied
A. Gomez-Corral, M. J. Lopez-Herrero, D. Taipe
Summary: In this paper, a Markov chain model is used to study infectious disease outbreaks with limited healthcare resources. The model takes into account the restricted number of infected individuals that can be admitted to a hospital ward and the potential transmission of the pathogen both inside and outside the ward. The goal is to analyze the impact of resource limitations on hospital operations and evaluate performance measures such as capacity utilization, critical events, continuous operation time, and economic impact of therapeutic treatments in cases of reinfection.
APPLIED MATHEMATICS AND COMPUTATION
(2023)
Article
Physics, Multidisciplinary
Bengier Ulgen Kilic, Dane Taylor
Summary: Higher-order interactions between neurons play a crucial role in brain dynamics, but their impact on the spatio-temporal patterns of cascades is still unclear. In this study, the authors propose a model called the simplicial threshold model, which demonstrates that simplicial complexes can effectively coordinate with nonlinear propagation to orchestrate higher-order cascades. This research sheds light on the multiscale, multidimensional mechanisms underlying the spatio-temporal patterns of nonlinear cascades.
COMMUNICATIONS PHYSICS
(2022)
Article
Automation & Control Systems
Bo Li, Zohreh Eskandari
Summary: This paper investigates a discrete-time seasonally forced SIR epidemic model for different types of bifurcations. The existence of different types of bifurcations in the model is proven analytically and numerically. The study includes one and two parameters bifurcations, as well as flip, Neimark-Sacker, and strong resonances bifurcations. The obtained results are verified through graphical representations.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Automation & Control Systems
Nuno C. Martins, Jair Certorio, Richard J. La
Summary: We propose a system theoretic approach to select and stabilize the endemic equilibrium of an SIRS epidemic model, with the decisions of a population determining the transmission rate. The population's agents revise their choices out of a set of strategies that impact the transmission rate. We develop a dynamic payoff mechanism that guarantees steering the epidemic variables to the endemic equilibrium with the smallest infectious fraction, subject to cost constraints.
Article
Computer Science, Artificial Intelligence
Emilia Rutkowski, Sheridan Houghten, Joseph Alexander Brown
Summary: This paper introduces a multi-objective approach using NSGA-II for weighted graph compression. The approach aims to find a balance between compression level and distortion, and is applied to three different weighted contact networks. The study finds that the multi-objective approach can identify suitable compression ratios based on defined levels of acceptable distortion, with further reduction of distortion using a single-objective genetic algorithm.
APPLIED SOFT COMPUTING
(2023)
Article
Mathematics, Applied
Liang Chen, JinRong Wang
Summary: In this paper, we study a delayed adaptive network epidemic model where the rate of demographic change of susceptible and infected individuals is affected by the time-delay effects of local spatial connections. We prove the Hopf bifurcation occurs at the critical value t 0 with delay t as the bifurcation parameter. The criteria for the bifurcation direction and stability are derived using the normal form method and central manifold theory. Numerical simulations are provided to demonstrate the feasibility of the results.
Article
Mathematics, Interdisciplinary Applications
Florian Nill
Summary: This article analyzes the dynamics of fractional population sizes y(i) = Upsilon(i)/N in homogeneous compartment models with time-dependent total population N. Assuming constant per capita birth and death rates, the vector field (Upsilon) over dot(i) = V-i (Upsilon) naturally projects to a vector field F-i (Upsilon) tangent to the leaves of constant population N. A universal formula for the projected field F-i is given. By normalizing eight examples from the literature this way, they unexpectedly become isomorphic for corresponding parameter ranges, revealing that some recently published results have already been covered in papers from 20 years ago.
FRACTAL AND FRACTIONAL
(2023)
Article
Multidisciplinary Sciences
Daniel J. Rosenkrantz, Anil Vullikanti, S. S. Ravi, Richard E. Stearns, Simon Levin, H. Vincent Poor, Madhav Marathe
Summary: The ongoing COVID-19 pandemic highlights the importance of reliable forecasting models for decision makers. However, forecasting contagion dynamics remains challenging due to complex behavioral responses, data uncertainty, stochastic processes, and the sensitivity of disease parameters to environmental changes. This study offers a rigorous explanation of the difficulty in short-term forecasting on networked populations using computational complexity concepts and develops efficient algorithms or approximation algorithms for restricted versions of forecasting problems.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2022)
Article
Virology
Anthony Lam, Sebastian Duchene
Summary: Phylodynamic inference is crucial in understanding the transmission dynamics of viral outbreaks, with estimating the molecular evolutionary rate being an essential first step. The birth-death model outperforms the coalescent exponential model in estimating epidemiological parameters when faced with low diversity sequence data, while the coalescent model requires additional samples and sequence variability for accurate estimates. This was supported by empirical data analyses of SARS-CoV-2 outbreaks in Australia and New Zealand, emphasizing the importance of considering the birth-death model for future viral outbreak investigations with low sequence diversity.
Article
Engineering, Multidisciplinary
Kathinka Frieswijk, Lorenzo Zino, Ming Cao
Summary: This study presents a novel multi-population temporal network model for the spread of recurrent epidemic diseases. The research suggests that vaccination campaigns can help reduce pressure on hospitals, but without effective testing campaigns, resurgent outbreaks may still occur. Additionally, the study highlights the negative impact of homophily on local outbreak control.
IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING
(2023)
Article
Virology
Huaxiong Sheng, Lin Wu, Tingting Wu, Bo Peng
Summary: A network dynamics model of epidemic transmission introducing a heterogeneous control factor was proposed and validated through estimation and simulation, showing higher credibility and better practical fit. Predictions suggest optimistic global confirmed cases reaching around 20 million, with a long-tailed late stage lasting over one and a half years. Strengthening international cooperation and implementing international travel restrictions are deemed effective in controlling the global epidemic.
JOURNAL OF MEDICAL VIROLOGY
(2021)
Article
Mathematics, Applied
Madhab Barman, Nachiketa Mishra
Summary: This article considers a time delay networked Susceptible-Infectious-Recovered (SIR) epidemic model with a nonlinear incidence rate on a graph of Laplacian diffusion. The model incorporates population mobility through the graph network. Several stability theorems are established for all possible equilibrium points of the model. In addition, Hopf bifurcation analysis is conducted for the endemic equilibrium. Numerical results are provided to validate the theoretical findings.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2023)
Article
Mathematics, Applied
Jan Rychtar, Dewey T. Taylor
Summary: Researchers studied evolutionary dynamics between two competing genotypes A and B in finite populations, finding that selection still exists preferences under different conditions of variance and third central moment despite both having the same average fitness. In addition, structured populations and different dynamics also affect the selection results.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
(2021)
Article
Automation & Control Systems
Xu Zhang, Guanrong Chen
Summary: A new geometric criterion is developed to determine the existence of chaos in continuous-time autonomous systems in three-dimensional Euclidean spaces. This criterion differs from traditional methods as it does not rely on equilibrium points or the condition of transversal homoclinic or heteroclinic orbit of a Poincare map.
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
(2023)
Article
Computer Science, Artificial Intelligence
Qiang Lai, Zhiqiang Wan, Hui Zhang, Guanrong Chen
Summary: This article presents a design of a new Hopfield neural network that can generate multiscroll attractors by utilizing a new memristor as a synapse in the network. The memristor is constructed with hyperbolic tangent functions and its parameters can effectively control the number of double scrolls in an attractor. Numerical analysis reveals amplitude control effects and quantitatively controllable multistability. Furthermore, a novel image encryption scheme based on the proposed memristive neural network is designed and evaluated, demonstrating good encryption performances.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2023)
Article
Computer Science, Hardware & Architecture
Mingzhe Zhu, Wanyue Xu, Zhongzhi Zhang, Haibin Kan, Guanrong Chen
Summary: In this paper, the resistance distances in networks with higher order interactions are studied, and exact formulas for various quantities related to resistance distances are derived. The results show that the average resistance distance tends to a q-dependent constant.
Article
Automation & Control Systems
Guanghui Wen, Peijun Wang, Yuezu Lv, Guanrong Chen, Jialing Zhou
Summary: This paper studies the problem of secure consensus for multiple-input-multiple-output (MIMO) linear multi-agent systems (MASs) under denial-of-service (DoS) attacks and proposes corresponding control schemes and conditions. By designing an unknown input observer and using multiple Lyapunov functions, it is shown that secure consensus can be achieved under certain threshold conditions.
ASIAN JOURNAL OF CONTROL
(2023)
Article
Automation & Control Systems
Yuqing Hao, Qingyun Wang, Zhisheng Duan, Guanrong Chen
Summary: In this article, the discernibility of topological variations for networked linear time-invariant (LTI) systems is investigated. A necessary and sufficient condition is derived, revealing the impact of topological variations, node-system dynamics, and inner interactions on network discernibility. The condition presented is more general than existing conditions. Furthermore, the discernibility of topological variations for multiagent systems is revisited, and a new necessary and sufficient condition is established with broader applicability.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Automation & Control Systems
Yang Lou, Lin Wang, Shengli Xie, Guanrong Chen
Summary: This paper proposes a hybrid approximation method to estimate the controllability robustness performance of large-scale directed random-graph networks under random edge-removal attacks. Two threshold values are set to classify general random-graph networks as 'dense', 'sparse', or 'median', according to the average degree. Simulation results verify that the proposed method can accurately approximate the controllability curves and is more time-efficient compared to conventional attack simulations.
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2023)
Article
Biology
Zhaowan Li, Jianguo Zhao, Yuhao Zhou, Lina Tian, Qihuai Liu, Huaiping Zhu, Guanghu Zhu
Summary: The study developed a transmission model to analyze the impact of adaptive behaviors and vaccination on the spread of COVID-19. By validating the model with surveillance data in multiple countries, the researchers quantified the protection effect of adaptive behaviors and found that they can significantly reduce human infections. The study also highlighted the importance of high vaccination coverage for complete prevention. These findings provide insights for understanding and controlling the ongoing COVID-19 pandemic.
JOURNAL OF THEORETICAL BIOLOGY
(2023)
Article
Physics, Multidisciplinary
Jiashuo Sun, Linying Xiang, Guanrong Chen
Summary: In this article, the dynamical robustness of a directed complex network with additive noise is studied. The failure of a node in the network is modeled by injecting noise into the node. A new robustness metric is formulated to characterize the synchronization of the network to the additive noise under the framework of mean-square stochastic stability. It is found that the node dynamics plays a crucial role in the dynamical robustness of the directed network. Numerical simulations are provided for illustration and verification.
FRONTIERS IN PHYSICS
(2023)
Article
Biology
Xin-Jian Xu, Hong-Xiang Gao, Liu-Cun Zhu, Rui Zhu
Summary: Network theory has been of great interest in the biological community for its effectiveness in identifying tumor-associated genes. However, most studies have focused on single networks of single omics, which have limited predictive power. This study constructs a bilayer network of DNA methylation sites and RNAs and applies it to five types of tumor data to identify key genes associated with tumors. Compared to single networks, the proposed bilayer network yields more tumor-associated DNA methylation sites and genes, which are validated through prognostic and KEGG enrichment analyses.
Article
Automation & Control Systems
Mengfei Niu, Guanghui Wen, Yuezu Lv, Guanrong Chen
Summary: This paper presents a new design of an innovation-based stealthy attack strategy against distributed state estimation over a sensor network. The optimal distributed MMSE estimator is developed by fusing interaction measurements from neighboring nodes in the absence of network attack. The tradeoff between attack stealthiness and attack effects is determined by proposing a stealthy attack framework embedded with an adjustable parameter.
Article
Mathematics, Interdisciplinary Applications
Yong Lei, Xin-Jian Xu, Xiaofan Wang, Yong Zou, Juergen Kurths
Summary: The synchronization of oscillators is crucial for understanding the collective dynamics of various natural and artificial systems. In this study, we introduce a Lyapunov function that can be optimized to enhance synchrony of heterogeneous oscillators on sparse networks. We consider two optimization problems: frequency allocation and network design. Numerical experiments demonstrate that our proposed criterion outperforms existing methods, which can be explained by the correlation between node degree and frequency magnitude.
CHAOS SOLITONS & FRACTALS
(2023)
Review
Pharmacology & Pharmacy
Yourong Zhou, Yiming Yin, Jiangxin Xu, Zhifei Xu, Bo Yang, Qiaojun He, Peihua Luo, Hao Yan, Xiaochun Yang
Summary: Alectinib is a second-generation ALK tyrosine kinase inhibitor used to treat ALK+ NSCLC, but its long-term use can cause serious and life-threatening adverse events. There are currently no effective interventions for these adverse events, which leads to delays in patient treatment and limits its long-term clinical use.
EXPERT OPINION ON PHARMACOTHERAPY
(2023)
Article
Automation & Control Systems
Fang Yuan, Shaoyan Li, Yue Deng, Yuxia Li, Guanrong Chen
Summary: In this article, a Cu-doped TiO2-x nanoscale memristor is built and its accurate mathematical model is established. The reliable performance of the memristor and the correctness of its mathematical model are demonstrated through numerical simulations and hardware experiments, revealing its chaotic system dynamics.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
(2023)
Article
Computer Science, Information Systems
Choujun Zhan, Yufan Zheng, Lujiao Shao, Guanrong Chen, Haijun Zhang
Summary: The COVID-19 pandemic, caused by SARS-CoV-2, a high mutation rate virus, is still ongoing due to the emergence of new variants with immune-evading properties. This study presents an epidemiological framework to simulate the mutation process and spread of COVID-19 considering multiple variants. The results suggest that several combined intervention strategies are effective in controlling the pandemic, even with a reduced mutation rate of SARS-CoV-2.
INFORMATION SCIENCES
(2023)
Article
Mathematics
Ke Wang, Zhuo Chen, Shihui Ying, Xinjian Xu
Summary: This paper tackles low-rank matrix completion problem by optimizing the matrix manifold using QR factorization for retraction. Two fast algorithms based on steepest gradient descent and conjugate gradient descent are proposed, showing a superiority of at least 24% over the promising baseline.
Article
Biology
Iain Hunter, Raz Leib
Summary: Natural movement is related to health, but it is difficult to measure. Existing methods cannot capture the full range of natural movement. Comparing movement across different species helps identify common biomechanical and computational principles. Developing a system to quantify movement in freely moving animals in natural environments and relating it to life quality is crucial. This study proposes a theoretical framework based on movement ability and validates it in Drosophila.
JOURNAL OF THEORETICAL BIOLOGY
(2024)
Article
Biology
Andy Gardner
Summary: Fisher's geometric model is a useful tool for predicting key properties of Darwinian adaptation, and here it is applied to predict differences between the evolution of altruistic versus nonsocial phenotypes. The results suggest that the effect size maximizing probability of fixation is smaller in the context of altruism and larger in the context of nonsocial phenotypes, leading to lower overall probability of fixation for altruism and higher overall probability of fixation for nonsocial phenotypes.
JOURNAL OF THEORETICAL BIOLOGY
(2024)
Article
Biology
Thomas F. Pak, Joe Pitt-Francis, Ruth E. Baker
Summary: Cell competition is a process where cells interact in multicellular organisms to determine a winner or loser status, with loser cells being eliminated through programmed cell death. The winner cells then populate the tissue. The outcome of cell competition is context-dependent, as the same cell type can win or lose depending on the competing cell type. This paper proposes a mathematical framework to study the emergence of winner or loser status, highlighting the role of active cell death and identifying the factors that drive cell competition in a cell-based modeling context.
JOURNAL OF THEORETICAL BIOLOGY
(2024)
Article
Biology
Haruto Tomizuka, Yuuya Tachiki
Summary: Batesian mimicry is a strategy in which palatable prey species resemble unpalatable prey species to avoid predation. The evolution of this mimicry plays a crucial role in protecting the unpalatable species from extinction.
JOURNAL OF THEORETICAL BIOLOGY
(2024)
Article
Biology
Jason W. Olejarz, Martin A. Nowak
Summary: Gene drive technology shows potential for population control, but its release may have unpredictable consequences. The study suggests that the failure of suppression is a natural outcome, and there are complex dynamics among wild populations.
JOURNAL OF THEORETICAL BIOLOGY
(2024)
Article
Biology
Hamid Ravaee, Mohammad Hossein Manshaei, Mehran Safayani, Javad Salimi Sartakhti
Summary: Gene expression analysis is valuable for cancer classification and phenotype identification. IP3G, based on Generative Adversarial Networks, enhances gene expression data and discovers phenotypes in an unsupervised manner. By converting gene expression profiles into images and utilizing IP3G, new phenotype profiles can be generated, improving classification accuracy.
JOURNAL OF THEORETICAL BIOLOGY
(2024)
Article
Biology
Beatrix Rahnsch, Leila Taghizadeh
Summary: This study forecasts the evolution of the COVID-19 pandemic in Germany using a network-based inference method and compares it with other approaches. The results show that the network-inference based approach outperforms other methods in short-to mid-term predictions, even with limited information about the new disease. Furthermore, predictions based on the estimation of the reproduction number in Germany can yield more reliable results with increasing data availability, but still cannot surpass the network-inference based algorithm.
JOURNAL OF THEORETICAL BIOLOGY
(2024)
Article
Biology
Rongsheng Huang, Qiaojun Situ, Jinzhi Lei
Summary: Maintaining tissue homeostasis requires appropriate regulation of stem cell differentiation. Random inheritance of epigenetic states plays a pivotal role in stem cell differentiation. This computational model provides valuable insights into the intricate mechanism governing stem cell differentiation and cell reprogramming, offering a promising path for enhancing the field of regenerative medicine.
JOURNAL OF THEORETICAL BIOLOGY
(2024)
Article
Biology
Patrick Vincent N. Lubenia, Eduardo R. Mendoza, Angelyn R. Lao
Summary: This study compares insulin signaling in healthy and type 2 diabetes states using reaction network analysis. The results show similarities and differences between the two conditions, providing insights into the mechanisms of insulin resistance, including the involvement of other complexes, less restrictive interplay between species, and loss of concentration robustness in GLUT4.
JOURNAL OF THEORETICAL BIOLOGY
(2024)
Article
Biology
Nuverah Mohsin, Heiko Enderling, Renee Brady-Nicholls, Mohammad U. Zahid
Summary: Mathematical modeling is crucial in understanding radiobiology and designing treatment approaches in radiotherapy for cancer. This study compares three tumor volume dynamics models and analyzes the implications of model selection. A new metric, the point of maximum reduction of tumor volume (MRV), is introduced to quantify the impact of radiotherapy. The results emphasize the importance of caution in selecting models of response to radiotherapy due to the artifacts imposed by each model.
JOURNAL OF THEORETICAL BIOLOGY
(2024)
Article
Biology
Armindo Salvador
Summary: Michael Savageau's Biochemical Systems Analysis papers have had a significant impact on Systems Biology, generating core concepts and tools. This article provides a brief summary of these papers and discusses the most relevant developments in Biochemical Systems Theory since their publication.
JOURNAL OF THEORETICAL BIOLOGY
(2024)
