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Most infectious diseases spread on a dynamic network of human interactions. Recent studies of social dynamics have provided evidence that spreading patterns may depend strongly on detailed micro-dynamics of the social system. We have…

Physics and Society · Physics 2015-09-23 Arkadiusz Stopczynski , Alex Sandy Pentland , Sune Lehmann

The dynamics of economies and infectious disease are inexorably linked: economic well-being influences health (sanitation, nutrition, treatment capacity, etc.) and health influences economic well-being (labor productivity lost to sickness…

Physics and Society · Physics 2014-03-06 Georg M. Goerg , Oscar Patterson-Lomba , Laurent Hébert-Dufresne , Benjamin M. Althouse

A key problem in modelling the evolution dynamics of infectious diseases is the mathematical representation of the mechanism of transmission of the contagion. Models with a finite number of subpopulations can be described via systems of…

Optimization and Control · Mathematics 2017-03-09 Sebastian Anita , Vincenzo Capasso

We develop a stochastic two-patch epidemic model with nonlinear recidivism to investigate infectious disease dynamics in heterogeneous populations. Extending a deterministic framework, we introduce stochasticity to account for random…

Populations and Evolution · Quantitative Biology 2024-05-21 Juan G. Calvo , Mario I. Simoy , Juan P. Aparicio , José E. Chacón , Fabio Sanchez

Despite the advanced stage of epidemic modeling, there is a major demand for methods to incorporate behavioral responses to the spread of a disease such as social distancing and adoption of prevention methods. Mobility plays an important…

Physics and Society · Physics 2022-03-14 Paulo Cesar Ventura , Alberto Aleta , Francisco A. Rodrigues , Yamir Moreno

Dynamic properties of spreading infection through a heterogeneous population are studied numerically and analytically using a dynamic variant of Watts and Strogatz Small World Network-based stochastic Susceptible-Exposed-Infectious-Removed…

Populations and Evolution · Quantitative Biology 2019-06-28 O. Mosbah , N. Zekri , M. Mokhtari , S. Sahraoui

We study a stochastic epidemic model with multiple patches (locations), where individuals in each patch are categorized into three compartments, Susceptible, Infected and Recovered/Removed, and may migrate from one patch to another in any…

Probability · Mathematics 2023-08-21 Guodong Pang , Etienne Pardoux

Background: Human-to-human transmission of pathogens fundamentally depends on interactions among infectious and susceptible individuals, yet traditional population-scale models often overlook the stochastic, behaviour-driven, and highly…

Physics and Society · Physics 2026-04-20 Matthijs Romeijnders , Michiel van Boven , Debabrata Panja

Most previous studies of epidemic dynamics on complex networks suppose that the disease will eventually stabilize at either a disease-free state or an endemic one. In reality, however, some epidemics always exhibit sporadic and recurrent…

Physics and Society · Physics 2013-11-19 Xiao-Long Peng , Michael Small , Xin-Jian Xu , Xinchu Fu

The coupling between evolutionary and ecological changes (eco-evolutionary dynamics) has been shown to be relevant among diverse species, and is also of interest outside of ecology, i.e. in cancer evolution. These dynamics play an important…

Analysis of PDEs · Mathematics 2026-01-21 Manh Hong Duong , Fabian Spill , Blaine van Rensburg

In regard to infectious diseases socioeconomic determinants are strongly associated with differential exposure and susceptibility however they are seldom accounted for by standard compartmental infectious disease models. These associations…

Applications · Statistics 2022-11-28 Alison C Hale , Jonathan M Read , Christopher P Jewell

This paper introduces an innovative model for infectious diseases in predator-prey populations. We not only prove the existence of global non-negative solutions but also establish essential criteria for the system's decline and…

Populations and Evolution · Quantitative Biology 2023-06-16 Yujie Gao , Malay Banerjee , Ton Viet Ta

In this work we have investigated the evolutionary dynamics of a generalist pathogen, e.g. a virus population, that evolves towards specialisation in an environment with multiple host types. We have particularly explored under which…

Dynamical Systems · Mathematics 2020-06-24 Anel Nurtay , Matthew G. Hennessy , Lluís Alsedà , Santiago F. Elena , Josep Sardanyés

In this paper we consider a simple two-patch model in which a population affected by a disease can freely move. We assume that the capacity of the interconnected paths is limited, and thereby influencing the migration rates. Possible…

Dynamical Systems · Mathematics 2014-03-19 Silvia Motto , Ezio Venturino

While actors in a population can interact with anyone else freely, social relations significantly influence our inclination towards particular individuals. The consequence of such interactions, however, may also form the intensity of our…

Physics and Society · Physics 2024-04-24 Xiaojin Xiong , Ziyan Zeng , Minyu Feng , Attila Szolnoki

We are living in an uncertain and dynamically changing world, where optimal decision-making under uncertainty is directly linked to the survival of species. However, evolutionary selection pressures that shape value-based decision-making…

Populations and Evolution · Quantitative Biology 2018-04-04 Erdem Pulcu

We introduce a game inspired by the challenges of disease management in livestock farming and the transmission of endemic disease through a trade network. Success in this game comes from balancing the cost of buying new stock with the risk…

Physics and Society · Physics 2021-04-28 Ewan Colman , Nicholas Hanley , Rowland R. Kao

Organisms have evolved immune systems that can counter pathogenic threats. The adaptive immune system in vertebrates consists of a diverse repertoire of immune receptors that can dynamically reorganize to specifically target the…

Populations and Evolution · Quantitative Biology 2024-10-29 Quinn N Bellamy , Zachary Montague , Luca Peliti , Armita Nourmohammad

The structure of a network dramatically affects the spreading phenomena unfolding upon it. The contact distribution of the nodes has long been recognized as the key ingredient in influencing the outbreak events. However, limited knowledge…

Physics and Society · Physics 2014-07-30 Luca Ferreri , Paolo Bajardi , Mario Giacobini , Silvia Perazzo , Ezio Venturino

Forecasting transmission of infectious diseases, especially for vector-borne diseases, poses unique challenges for researchers. Behaviors of and interactions between viruses, vectors, hosts, and the environment each play a part in…

Applications · Statistics 2020-06-02 Stephen A Lauer , Alexandria C Brown , Nicholas G Reich
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