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Capturing the structured mixing within a population is key to the reliable projection of infectious disease dynamics and hence informed control. Both heterogeneity in the number of contacts and age-structured mixing have been repeatedly…

Social and Information Networks · Computer Science 2026-03-17 Luke Murray Kearney , Emma L Davis , Matt J Keeling

Infectious disease dynamics operate across multiple biological scales, with within-host viral dynamics being a key driver of between-host transmission. However, while models that explicitly link these scales exist, none have been developed…

Applications · Statistics 2026-04-23 Dylan J. Morris , Lauren Kennedy , Andrew J. Black

Models of contagion arise broadly both in the biological and social sciences, with applications ranging from the transmission of infectious diseases to the diffusion of innovations and the spread of cultural fads. In this Letter, we…

Disordered Systems and Neural Networks · Physics 2009-11-10 P. S. Dodds , D. J. Watts

Network ecology is a rising field of quantitative biology representing ecosystems as complex networks. A suitable example is parasite spreading: several parasites may be transmitted among their hosts through different mechanisms, each one…

Quantitative Methods · Quantitative Biology 2016-09-12 Massimo Stella , Cecilia S. Andreazzi , Sanja Selakovic , Alireza Goudarzi , Alberto Antonioni

The modeling of the spreading of communicable diseases has experienced significant advances in the last two decades or so. This has been possible due to the proliferation of data and the development of new methods to gather, mine and…

Physics and Society · Physics 2020-09-09 Alberto Aleta , Guilherme Ferraz de Arruda , Yamir Moreno

Besides mimicking bio-chemical and multi-scale communication mechanisms, molecular communication forms a theoretical framework for virus infection processes. Towards this goal, aerosol and droplet transmission has recently been modeled as a…

Information Theory · Computer Science 2021-01-29 Peter Adam Hoeher , Martin Damrath , Sunasheer Bhattacharjee , Max Schurwanz

We present a two-species population model in a well-mixed environment where the dynamics involves, in addition to birth and death, changes due to environmental factors and inter-species interactions. The novel dynamical components are…

Biological Physics · Physics 2020-09-17 J. J. Dong , J. D. Russo , K. Sampson

The current survey paper concerns stochastic mathematical models for the spread of infectious diseases. It starts with the simplest setting of a homogeneous population in which a transmittable disease spreads during a short outbreak.…

Applications · Statistics 2018-01-30 Tom Britton

The emergence or adaptation of pathogens may lead to epidemics, highlighting the need for a thorough understanding of pathogen evolution. The tradeoff hypothesis suggests that virulence evolves to reach an optimal transmission intensity…

Populations and Evolution · Quantitative Biology 2024-12-09 Daniel A. M. Villela

We study a mosquito-borne epidemic model where the vector population is distinct in aquatic and adult stages and a saturating effect of disease transmission is assumed to ocurr when the number of infectious (humans and mosquitoes) becomes…

Populations and Evolution · Quantitative Biology 2014-02-10 E. Avila-Vales , B. Buonomo , N. Chan-Chi

We investigate the Susceptible-Infectious-Recovered contagion dynamics in a system of self-propelled particles with polar alignment. Using agent-based simulations, we analyze the outbreak process for different combinations of the spatial…

Adaptation and Self-Organizing Systems · Physics 2021-06-16 Yinong Zhao , Cristián Huepe , Pawel Romanczuk

Epidemic spreading of infectious diseases is ubiquitous and has often considerable impact on public health and economic wealth. The large variability in spatio-temporal patterns of epidemics prohibits simple interventions and demands for a…

Populations and Evolution · Quantitative Biology 2010-11-25 Christel Kamp

We combine a pedestrian dynamics model with a contact tracing method to simulate the initial spreading of a highly infectious airborne disease in a confined environment. We focus on a medium size population (up to 1000 people) with a small…

Physics and Society · Physics 2020-04-22 Krithika Rathinakumar , Annalisa Quaini

A four dimensional ecoepidemiological model consisting of susceptible prey, infected prey, vaccinated prey and predator is formulated and analyzed in the present work. The functional response is assumed to be of Lotka-Volterra type. We…

Dynamical Systems · Mathematics 2017-10-02 Sachin Kumar , Harsha Kharbanda

Models of spread processes over non-trivial networks are commonly motivated by modeling and analysis of biological networks, computer networks, and human contact networks. However, identification of such models has not yet been explored in…

Optimization and Control · Mathematics 2020-01-27 Philip E. Pare , Ji Liu , Carolyn L. Beck , Barret E. Kirwan , Tamer Basar

In this paper, we propose and analyze a reaction-diffusion susceptible-infected-susceptible (SIS) epidemic patch model. The individuals are assumed to reside in different patches, where they are able to move inside and among the patches.…

Populations and Evolution · Quantitative Biology 2023-01-18 Shanshan Chen , Yixiang Wu

Motile organisms can form stable agglomerates such as cities or colonies. In the outbreak of a highly contagious disease, the control of large-scale epidemic spread depends on factors like the number and size of agglomerates, travel rate…

Populations and Evolution · Quantitative Biology 2023-04-03 Pablo de Castro , Felipe Urbina , Ariel Norambuena , Francisca Guzmán-Lastra

Spatio-temporal extensions of familiar compartment models for disease transmission incorporating diffusive behavior, or interactions between individuals at separate locations, are explored. The models considered have the character of…

Biological Physics · Physics 2022-06-28 Joseph Rudnick , David Jasnow , Jorge Vinals

Social network analysis is now widely used to investigate the dynamics of infectious disease spread from person to person. Vaccination dramatically disrupts the disease transmission process on a contact network, and indeed, sufficiently…

Physics and Society · Physics 2012-11-05 Ellsworth Campbell , Marcel Salathé

Many vector-borne disease epidemic models neglect the fact that in modern human civilization, social awareness as well as self-defence system are overwhelming against advanced propagation of the disease. News are becoming more effortlessly…

Populations and Evolution · Quantitative Biology 2020-02-28 Karunia Putra Wijaya , Joseph Páez Chávez , Dipo Aldila
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