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In this paper, we show how a dynamic population game can model the strategic interaction and migration decisions made by a large population of agents in response to epidemic prevalence. Specifically, we consider a modified…

Systems and Control · Electrical Eng. & Systems 2022-07-04 Ezzat Elokda , Saverio Bolognani , Ashish R. Hota

In order to explore the impact of periodically evolving domain on the transmission of disease, we study a SIS reaction-diffusion model with logistic term on a periodically evolving domain. The basic reproduction number ${\mathcal{R}}_0$ is…

Analysis of PDEs · Mathematics 2020-11-17 Yachun Tong , Zhigui Lin

Human behavior is a dynamic process that evolves with experience. Understanding the evolution of individual's risk propensity is critical to design public health interventions to propitiate the adoption of better biosecurity protocols and…

Human pathogens transmitted through environmental pathways are subject to stress and pressures outside of the host. These pressures may cause pathogen pathovars to diverge in their environmental persistence and their infectivity on an…

Populations and Evolution · Quantitative Biology 2018-02-16 Andrew F. Brouwer , Marisa C. Eisenberg , Nancy G. Love , Joseph N. S. Eisenberg

During infectious disease epidemics, pathogen transmission occurs in host populations made up of interacting subpopulations. Using stochastic simulation and analytical approximations, we examine how outbreak sizes in networked populations…

Populations and Evolution · Quantitative Biology 2026-01-21 Makoto Ueki , Robin N. Thompson , Murad Banaji

This paper analyzes a Susceptible-Infected-Susceptible (SIS) model of epidemic propagation over hypergraphs and, motivated by an important special case, we refer to the model as to the simplicial SIS model. Classically, the multi-group SIS…

Optimization and Control · Mathematics 2021-10-05 Pedro Cisneros-Velarde , Francesco Bullo

As pathogens spread in a population of hosts, immunity is built up and the pool of susceptible individuals is depleted. This generates selective pressure, to which many human RNA viruses, such as influenza virus or SARS-CoV-2, respond with…

Populations and Evolution · Quantitative Biology 2024-08-29 Pierre Barrat-Charlaix , Richard A. Neher

Networks of contacts capable of spreading infectious diseases are often observed to be highly heterogeneous, with the majority of individuals having fewer contacts than the mean, and a significant minority having relatively very many…

Physics and Society · Physics 2016-12-21 César Parra-Rojas , Thomas House , Alan J. McKane

Human diseases spread over networks of contacts between individuals and a substantial body of recent research has focused on the dynamics of the spreading process. Here we examine a model of two competing diseases spreading over the same…

Physics and Society · Physics 2015-03-19 Brian Karrer , M. E. J. Newman

Network epidemiology often assumes that the relationships defining the social network of a population are static. The dynamics of relationships is only taken indirectly into account, by assuming that the relevant information to study…

Populations and Evolution · Quantitative Biology 2010-04-09 Sebastian Risau-Gusman

In this paper we study the diffusion of an SIS-type epidemics on a network under the presence of a random environment, that enters in the definition of the infection rates of the nodes. Accordingly, we model the infection rates in the form…

Probability · Mathematics 2016-07-25 Stefano Bonaccorsi , Stefania Ottaviano

In this paper, we study the dynamics of epidemic processes taking place in adaptive networks of arbitrary topology. We focus our study on the adaptive susceptible-infected-susceptible (ASIS) model, where healthy individuals are allowed to…

Social and Information Networks · Computer Science 2016-06-29 Masaki Ogura , Victor M. Preciado

This paper analyses the dynamics of infectious disease with a concurrent spread of disease awareness. The model includes local awareness due to contacts with aware individuals, as well as global awareness due to reported cases of infection…

Populations and Evolution · Quantitative Biology 2017-04-21 G. O. Agaba , Y. N. Kyrychko , K. B. Blyuss

Dynamical systems running on the top of complex networks has been extensively investigated for decades. But this topic still remains among the most relevant issues in complex network theory due to its range of applicability. The contact…

Physics and Society · Physics 2021-02-03 Angélica S. Mata

The dynamics of epidemic spreading is often reduced to the single control parameter $R_0$, whose value, above or below unity, determines the state of the contagion. If, however, the pathogen evolves as it spreads, $R_0$ may change over…

Populations and Evolution · Quantitative Biology 2022-11-07 Xiyun Zhang , Zhongyuan Ruan , Muhua Zheng , Jie Zhou , Stefano Boccaletti , Baruch Barzel

In this paper, we consider a compartmental SIRS epidemic model with asymptomatic infection and seasonal succession, which is a periodic discontinuous differential system. The basic reproduction number $\mathcal{R}_0$ is defined and valuated…

Dynamical Systems · Mathematics 2017-08-15 Yilei Tang , Dongmei Xiao , Weinian Zhang , Di Zhu

We propose an epidemic model for the spread of vector-borne diseases. The model, which is built extending the classical susceptible-infected-susceptible model, accounts for two populations -- humans and vectors -- and for cross-contagion…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Lorenzo Zino , Alessandro Casu , Alessandro Rizzo

The massive employment of computational models in network epidemiology calls for the development of improved inference methods for epidemic forecast. For simple compartment models, such as the Susceptible-Infected-Recovered model, Belief…

Physics and Society · Physics 2017-07-05 Jacopo Bindi , Alfredo Braunstein , Luca Dall'Asta

We study the relation between different social behaviors and the onset of epidemics in a model for the dynamics of sexual transmitted diseases. The model considers the society as a system of individual sexuated agents that can be organized…

Adaptation and Self-Organizing Systems · Physics 2009-11-10 Sebastian Goncalves , Marcelo Kuperman , Marcelo Ferreira da Costa Gomes

Motivated by epidemics such as COVID-19, we study the spread of a contagious disease when behavior responds to the disease's prevalence. We extend the SIR epidemiological model to include endogenous meeting rates. Individuals benefit from…

Populations and Evolution · Quantitative Biology 2023-09-25 Krishna Dasaratha
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