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Feedback-evolving games is a framework that models the co-evolution between payoff functions and an environmental state. It serves as a useful tool to analyze many social dilemmas such as natural resource consumption, behaviors in…

计算机科学与博弈论 · 计算机科学 2024-08-23 Keith Paarporn , James Nelson

We introduce a modified SIR model with memory for the dynamics of epidemic spreading in a constant population of individuals. Each individual is in one of the states susceptible (${\bf S}$), infected (${\bf I}$) or recovered (${\bf R}$). In…

We investigate a cyclic game system where organisms face an epidemic beyond being threatened by natural enemies. As a survival strategy, individuals of one out of the species usually safeguard themselves by approaching the enemies of their…

种群与进化 · 定量生物学 2023-01-09 J. Menezes , B. Ferreira , E. Rangel , B. Moura

We study the global dynamics of a reaction-diffusion SEIR infection model with distributed delay and nonlinear incidence rate. The well-posedness of the proposed model is proved. By means of Lyapunov functionals, we show that the disease…

种群与进化 · 定量生物学 2022-04-21 Abdesslem Lamrani Alaoui , Moulay Rchid Sidi Ammi , Mouhcine Tilioua , Delfim F. M. Torres

We study equilibrium distancing during epidemics. Distancing reduces the individual's probability of getting infected but comes at a cost. It creates a single-peaked epidemic, flattens the curve and decreases the size of the epidemic. We…

综合经济学 · 经济学 2021-03-02 Satoshi Fukuda , Nenad Kos , Christoph Wolf

We consider an SIS-type epidemic process that evolves on a known graph. We assume that a fixed curing budget can be allocated at each instant to the nodes of the graph, towards the objective of minimizing the expected extinction time of the…

社会与信息网络 · 计算机科学 2015-10-22 Kimon Drakopoulos , Asuman Ozdaglar , John N. Tsitsiklis

Purpose: We propose a model to present a possible mechanism for obtaining sizeable behavioural structures by simulating an agent based on the evolutionary public good game with available social learning. Methods: The model considered a…

计算机科学与博弈论 · 计算机科学 2019-10-29 Chulwook Park

We analyze four models of epidemic spreading using a stochastic approach in which the primary stochastic variables are the numbers of individuals in each class. The stochastic approach is described by a master equation and the transition…

统计力学 · 物理学 2020-10-28 Tânia Tomé , Mário J. de Oliveira

In this paper we consider the stability of a class of deterministic and stochastic SEIRS epidemic models with delay. Indeed, we assume that the transmission rate could be stochastic and the presence of a latency period of $r$ consecutive…

概率论 · 数学 2017-02-22 Xavier Bardina , Marco Ferrante , Carles Rovira

Modern ecology has re-emphasized the need for a quantitative understanding of the original 'survival of the fittest theme' based on analyzis of the intricate trade-offs between competing evolutionary strategies that characterize the…

种群与进化 · 定量生物学 2015-06-16 Jacopo Grilli , Samir Suweis , Amos Maritan

Metapopulation epidemic models help capture the spatial dimension of infectious disease spread by dividing heterogeneous populations into separate but interconnected communities, represented by nodes in a network. In the event of an…

种群与进化 · 定量生物学 2025-02-21 Henrik Zunker , Philipp Dönges , Patrick Lenz , Seba Contreras , Martin J. Kühn

In the United States, medical responses by fire departments over the last four decades increased by 367%. This had made it critical to decision makers in emergency response departments that existing resources are efficiently used. In this…

系统与控制 · 电气工程与系统科学 2020-10-16 Cheng Hua , Tauhid Zaman

Epidemics are emergent phenomena depending on the epidemiological characteristics of pathogens and the interaction and movement of people. Public transit systems have provided much important information about the movement of people, but…

社会与信息网络 · 计算机科学 2018-09-24 Zhanwei Du , Chao Gao , Yuan Bai , Yongjian Yang , Petter Holme

The metapopulation network model is effectively used to study the spatial spread of epidemics with individuals mobility. Considering the time-varying nature of individual activity and the preferences for attractive destinations in…

物理与社会 · 物理学 2023-11-27 Lang Zeng , Ming Tang , Ying Liu , Seung Yeop Yang , Younghae Do

Through a stochastic control theoretic approach, we analyze reputation games where a strategic long-lived player acts in a sequential repeated game against a collection of short-lived players. The key assumption in our model is that the…

最优化与控制 · 数学 2020-01-22 Nuh Aygün Dalkıran , Serdar Yüksel

Using a stochastic Susceptible-Infected-Removed (SIR) meta-population model of disease transmission, we present analytical calculations and numerical simulations dissecting the interplay between stochasticity and the division of a…

种群与进化 · 定量生物学 2020-12-17 Philip Bittihn , Ramin Golestanian

Simulating the spread of infectious diseases in human communities is critical for predicting the trajectory of an epidemic and verifying various policies to control the devastating impacts of the outbreak. Many existing simulators are based…

种群与进化 · 定量生物学 2021-04-22 Arash Mehrjou , Ashkan Soleymani , Amin Abyaneh , Samir Bhatt , Bernhard Schölkopf , Stefan Bauer

The spreading of epidemics is very much determined by the structure of the contact network, which may be impacted by the mobility dynamics of the individuals themselves. In confined scenarios where a small, closed population spends most of…

物理与社会 · 物理学 2018-05-09 Clara Granell , Peter J. Mucha

This paper develops a Nash-equilibrium extension of the classic SIR model of infectious-disease epidemiology ("Nash SIR"), endogenizing people's decisions whether to engage in economic activity during a viral epidemic and allowing for…

理论经济学 · 经济学 2020-06-19 David McAdams

Understanding the dynamics of the spread of diseases within populations is critical for effective public health interventions. We extend the classical SIR model by incorporating additional complexities such as the introduction of a cure and…

种群与进化 · 定量生物学 2025-10-30 Daniel Perkins , Davis Hunter , Drake Brown , Trevor Garrity , Wyatt Pochman