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Pathogen introduction in plant communities can cause serious impact and biodiversity losses that may take long time to manage and restore. Effective control of epidemic spreading in the wild is a problem of paramount importance, because of…

种群与进化 · 定量生物学 2022-06-15 Ignacio Taguas , José A. Capitán , Juan C. Nuño

The metapopulation framework is adopted in a wide array of disciplines to describe systems of well separated yet connected subpopulations. The subgroups or patches are often represented as nodes in a network whose links represent the…

物理与社会 · 物理学 2013-03-27 Suyu Liu , Andrea Baronchelli , Nicola Perra

More and more evidence shows that mating preference is a mechanism that may lead to a reproductive isolation event. In this paper, a haploid population living on two patches linked by migration is considered. Individuals are ecologically…

种群与进化 · 定量生物学 2018-05-08 Helene Leman

We study two models of population with migration. We assume that we are given infinitely many islands with the same number r of resources, each individual consuming one unit of resources. On an island lives an individual whose genealogy is…

概率论 · 数学 2012-06-27 Raoul Normand

Populations exhibiting partial migration consist of two groups of individuals: Those that mi- grate between habitats, and those that remain fixed in a single habitat. We propose several discrete-time population models to investigate the…

动力系统 · 数学 2016-10-31 Anushaya Mohapatra , Haley A. Ohms , David A. Lytle , Patrick De Leenheer

Diseases spread through host populations over the networks of contacts between individuals, and a number of results about this process have been derived in recent years by exploiting connections between epidemic processes and bond…

统计力学 · 物理学 2007-05-23 M. E. J. Newman

This paper considers the susceptible-infected-susceptible (SIS) epidemic model with an underlying network structure among subpopulations and focuses on the effect of social distancing to regulate the epidemic level. We demonstrate that if…

系统与控制 · 电气工程与系统科学 2021-08-09 Yuan Wang , Sebin Gracy , Hideaki Ishii , Karl Henrik Johansson

We develop a multi-patch and multi-group model that captures the dynamics of an infectious disease when the host is structured into an arbitrary number of groups and interacts into an arbitrary number of patches where the infection takes…

种群与进化 · 定量生物学 2017-11-23 Derdei Bichara , Abderrahman Iggidr

In the context of epidemic spreading, many intricate dynamical patterns can emerge due to the cooperation of different types of pathogens or the interaction between the disease spread and other failure propagation mechanism. To unravel such…

物理与社会 · 物理学 2024-05-07 Bo Li , David Saad

We study the non-equilibrium phase transition in a model for epidemic spreading on scale-free networks. The model consists of two particle species $A$ and $B$, and the coupling between them is taken to be asymmetric; $A$ induces $B$ while…

统计力学 · 物理学 2009-11-11 Yong-Yeol Ahn , Naoki Masuda , Hawoong Jeong , Jae Dong Noh

Interactions among multiple infectious agents are increasingly recognized as a fundamental issue in the understanding of key questions in public health, regarding pathogen emergence, maintenance, and evolution. The full description of…

种群与进化 · 定量生物学 2013-08-21 Chiara Poletto , Sandro Meloni , Vittoria Colizza , Yamir Moreno , Alessandro Vespignani

This paper studies a distributed continuous-time bi-virus model in which two competing viruses spread over a network consisting of multiple groups of individuals. Limiting behaviors of the network are characterized by analyzing the…

最优化与控制 · 数学 2019-01-04 Ji Liu , Philip E. Pare , Angelia Nedich , Choon Yik Tang , Carolyn L. Beck , Tamer Basar

We investigate the spread of an infection or other malfunction of cascading nature when a system component can recover only if it remains reachable from a functioning central component. We consider the susceptible-infected-susceptible…

物理与社会 · 物理学 2016-04-27 L. Böttcher , O. Woolley-Meza , E. Goles , D. Helbing , H. J. Herrmann

Contacts between individuals serve as pathways where infections may propagate. These contact patterns can be represented by network structures. Static structures have been the common modeling paradigm but recent results suggest that…

种群与进化 · 定量生物学 2012-04-25 Luis Enrique Correa Rocha , Adeline Decuyper , Vincent D Blondel

The spread of an epidemic disease and the population's collective behavioural response are deeply intertwined, influencing each other's evolution. Such a co-evolution typically has been overlooked in mathematical models, limiting their…

动力系统 · 数学 2024-10-24 Kathinka Frieswijk , Lorenzo Zino , Mengbin Ye , Alessandro Rizzo , Ming Cao

The analysis of contagion-diffusion processes in metapopulations is a powerful theoretical tool to study how mobility influences the spread of communicable diseases. Nevertheless, many metapopulation approaches use indistinguishable agents…

物理与社会 · 物理学 2022-04-20 Pablo Valgañón , David Soriano-Paños , Alex Arenas , Jesús Gómez-Gardeñes

Network--based epidemic models that account for heterogeneous contact patterns are extensively used to predict and control the diffusion of infectious diseases. We use census and survey data to reconstruct a geo--referenced and…

社会与信息网络 · 计算机科学 2026-05-19 Alessandro Celestini , Francesca Colaiori , Stefano Guarino , Enrico Mastrostefano , Lena Rebecca Zastrow

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…

种群与进化 · 定量生物学 2026-01-21 Makoto Ueki , Robin N. Thompson , Murad Banaji

We propose a game-theoretic dynamics of a population of replicating individuals. It consists of two parts: the standard replicator one and a migration between two different habitats. We consider symmetric two-player games with two…

种群与进化 · 定量生物学 2007-05-23 Jacek Miekisz , Tadeusz Platkowski

Compartmental models have long served as important tools in mathematical epidemiology, with their usefulness highlighted by the recent COVID-19 pandemic. However, most of the classical models fail to account for certain features of this…

动力系统 · 数学 2023-08-21 Monique Chyba , Taylor Klotz , Yuriy Mileyko , Corey Shanbrom