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We develop a new perturbation method for studying quasi-neutral competition in a broad class of stochastic competition models, and apply it to the analysis of fixation of competing strains in two epidemic models. The first model is a…

统计力学 · 物理学 2016-10-06 Oleg Kogan , Michael Khasin , Baruch Meerson , David Schneider , Christopher R. Myers

Many pathogens spread primarily via direct contact between infected and susceptible hosts. Thus, the patterns of contacts or contact network of a population fundamentally shapes the course of epidemics. While there is a robust and growing…

种群与进化 · 定量生物学 2012-08-01 Shweta Bansal , Lauren Ancel Meyers

The susceptible-infected-susceptible epidemic model is analyzed through a degree-based mean-field approach. In this work, a mitigation factor is introduced in the probability of finding an infected individual following an edge. This…

统计力学 · 物理学 2025-01-09 K. M. Kim , C. Dias , M. O. Hase

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…

物理与社会 · 物理学 2021-04-28 Ewan Colman , Nicholas Hanley , Rowland R. Kao

In this study, we develop and analyze a deterministic two-strain host-vector model for dengue transmission that incorporates key immuno-epidemiological mechanisms, including temporary cross-immunity, antibody-dependent enhancement (ADE),…

动力系统 · 数学 2026-01-13 Burcu Gürbüz , Aytül Gökçe , Joseph Páez Chávez , Thomas Götz

We study the spreading of an infection within an SIS epidemiological model on a network. Susceptible agents are given the opportunity of breaking their links with infected agents. Broken links are either permanently removed or reconnected…

种群与进化 · 定量生物学 2007-11-07 Damian H. Zanette , Sebastian Risau Gusman

Health-policy planning requires evidence on the burden that epidemics place on healthcare systems. Multiple, often dependent, datasets provide a noisy and fragmented signal from the unobserved epidemic process including transmission and…

应用统计 · 统计学 2024-09-11 Alice Corbella , Anne M Presanis , Paul J Birrell , Daniela De Angelis

The paper deals with the analysis of a discrete-time networked competitive bivirus susceptible-infected-susceptible (SIS) model. More specifically, we suppose that virus 1 and virus 2 are circulating in the population and are in competition…

系统与控制 · 电气工程与系统科学 2023-10-24 Sebin Gracy , Ji Liu , Tamer Basar , Cesar A. Uribe

Understanding spreading dynamics will benefit society as a whole in better preventing and controlling diseases, as well as facilitating the socially responsible information while depressing destructive rumors. In network-based spreading…

物理与社会 · 物理学 2015-01-16 Ai-Xiang Cui , Zimo Yang , Tao Zhou

Vegetation patterns are a ubiquitous feature of water-deprived ecosystems. Despite the competition for the same limiting resource, coexistence of several plant species is commonly observed. We propose a two-species reaction-diffusion model…

种群与进化 · 定量生物学 2019-11-26 Lukas Eigentler , Jonathan A. Sherratt

Compartmental models are popular in the mathematics of epidemiology for their simplicity and wide range of applications. Although they are typically solved as initial value problems for a system of ordinary differential equations, the…

种群与进化 · 定量生物学 2022-10-12 Eduard Campillo-Funollet , Hayley Wragg , James Van Yperen , Duc-Lam Duong , Anotida Madzvamuse

We investigate a time-delayed epidemic model for multi-strain diseases with temporary immunity. In the absence of cross-immunity between strains, dynamics of each individual strain exhibits emergence and anni- hilation of limit cycles due…

适应与自组织系统 · 物理学 2018-05-21 Larissa Bauer , Jason Bassett , Philipp Hövel , Yuliya N. Kyrychko , Konstantin B. Blyuss

We present a stochastic model for two successive SIR (Susceptible, Infectious, Recovered) epidemics in the same network structured population. Individuals infected during the first epidemic might have (partial) immunity for the second one.…

种群与进化 · 定量生物学 2024-10-29 Frank Ball , Abid Ali Lashari , David Sirl , Pieter Trapman

Multipartite viruses replicate through a puzzling evolutionary strategy. Their genome is segmented into two or more parts, and encapsidated in separate particles that appear to propagate independently. Completing the replication cycle,…

物理与社会 · 物理学 2019-03-26 Eugenio Valdano , Susanna Manrubia , Sergio Gómez , Alex Arenas

Classical disease models use a mass action term as the interaction between infected and susceptible people in separate patches. We derive the equations when this interaction is a migration of people between patches. The results model what…

生物物理 · 物理学 2009-11-11 Larry S. Liebovitch , Ira B. Schwartz

We propose a mathematical model to analyze the effects of anti-infection behavior on the equilibrium states of an infectious disease. The anti-infection behavior is incorporated into a classical epidemiological SIR model, by considering the…

种群与进化 · 定量生物学 2020-09-11 Andrés David Báez-Sánchez , Nara Bobko

Empirical observations show that ecological communities can have a huge number of coexisting species, also with few or limited number of resources. These ecosystems are characterized by multiple type of interactions, in particular…

种群与进化 · 定量生物学 2018-05-18 Chengyi Tu , Samir Suweis , Jacopo Grillib , Marco Formentin , Amos Maritan

Empirical observations show that ecological communities can have a huge number of coexisting species, also with few or limited number of resources. These ecosystems are characterized by multiple type of interactions, in particular…

种群与进化 · 定量生物学 2018-05-21 Chengyi Tu , Samir Suweis , Jacopo Grilli , Marco Formentin , Amos Maritan

A recent paper by James et al. finds that mutualistic interactions decrease the biodiversity of model ecosystems. However, this result can be reverted if we consider ecological trade-offs and choose parameters suitable for sparse…

种群与进化 · 定量生物学 2014-09-08 Alberto Pascual-García , Antonio Ferrera , Ugo Bastolla

We present an SI epidemic model whereby a continuous variable captures variability in proliferative potential and resistance to infection among susceptibles. The occurrence of heritable, spontaneous changes in these phenotype and the…

种群与进化 · 定量生物学 2021-12-30 Tommaso Lorenzi , Andrea Pugliese , Mattia Sensi , Agnese Zardini