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This paper examines an epidemic patch model with mass-action transmission mechanism and asymmetric connectivity matrix. Results on the global dynamics of solutions and the spatial structures of endemic solutions are obtained. In particular,…

经典分析与常微分方程 · 数学 2023-11-14 Rachidi Salako , Yixiang Wu

In this paper, we study an analytically tractable SIS model with a non-linear incidence rate for the number of infectious individuals described through a stochastic differential equation (SDE). We guarantee the existence of a positive…

概率论 · 数学 2024-04-23 J. S. Builes , Cristian F. Coletti , Leon A. Valencia

A diffusive epidemic model with an infection-dependent recovery rate is formulated in this paper. Multiple constant steady states and spatially homogeneous periodic solutions are first proven by bifurcation analysis of the reaction…

动力系统 · 数学 2025-09-12 Wael El Khateeb , Chanaka Kottegoda , Chunhua Shan

In the last decades, the interest to understand the connection between brain and body has grown notably. For example, in psychoneuroimmunology many studies associate stress, arising from many different sources and situations, to changes in…

定量方法 · 定量生物学 2022-07-27 Maria Elena Gonzalez Herrero , Christian Kuehn

The paper deals with the spread of two competing viruses over a network of population nodes, accounting for pairwise interactions and higher-order interactions (HOI) within and between the population nodes. We study the competitive…

系统与控制 · 电气工程与系统科学 2023-09-26 Sebin Gracy , Brian D. O. Anderson , Mengbin Ye , Cesar A. Uribe

Starting from common assumptions, we build a rate equation model for multi-strain disease dynamics in terms of immune repertoire classes. We then move to a strain-level description where a low-order closure reminiscent of a pair…

种群与进化 · 定量生物学 2014-04-09 Tomás Aquino , Diogo Bolster , Ana Nunes

We investigate a model for spatial epidemics explicitly taking into account bi-directional movements between base and destination locations on individual mobility networks. We provide a systematic analysis of generic dynamical features of…

物理与社会 · 物理学 2012-03-07 Vitaly Belik , Theo Geisel , Dirk Brockmann

In this paper, we investigate the existence of stability-changing bifurcations in epidemiological models used to study the spread of zombiism through a human population. These bifurcations show that although linear instability of…

种群与进化 · 定量生物学 2022-07-26 Robert F. Allen , Cassandra Jens , Theodore J. Wendt

In this paper we consider a competition system in which two diseases spread by contact. We characterize the system behavior, establishing that only some configurations are possible. In particular we discover that coexistence of the two…

动力系统 · 数学 2014-04-06 Roberto Cavoretto , Simona Collino , Bianca Giardino , Ezio Venturino

We propose a network behavioral-feedback Susceptible-Infected-Recovered (SIR) epidemic model in which the interaction matrix describing the infection rates across subpopulations depends in feedback on the current epidemic state. This model…

动力系统 · 数学 2025-07-08 Martina Alutto , Leonardo Cianfanelli , Giacomo Como , Fabio Fagnani

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

Up to now, the effects of having heterogeneous networks of contacts have been studied mostly for diseases which are not persistent in time, i.e., for diseases where the infectious period can be considered very small compared to the lifetime…

物理与社会 · 物理学 2015-05-18 J. Sanz , L. M. Floria , Y. Moreno

Infectious disease superspreading caused by heterogeneity in contact behavior has been observed to be an important determinant of epidemic dynamics and size in both empirical and theoretical settings. However, it has also been observed that…

We develop a new structured compartmental model for the coevolutionary dynamics between susceptible and infectious individuals in heterogeneous SI epidemiological systems. In this model, the susceptible compartment is structured by a…

种群与进化 · 定量生物学 2024-10-10 Tommaso Lorenzi , Elisa Paparelli , Andrea Tosin

We study molecular dynamics within populations of diffusively coupled cells under the assumption of fast diffusive exchange. As a technical tool, we propose conditions on boundedness and ultimate boundedness for systems with a singular…

细胞行为 · 定量生物学 2012-12-19 Steffen Waldherr , Frank Allgöwer

We study an infection-age structured epidemic model in which both the infectivity and the rate of loss of immunity depend on the time-since-infection. The model can be equivalently viewed as a nonlinear renewal equation for the incidence of…

动力系统 · 数学 2025-11-13 Francesca Scarabel , Harry Coldwell , Tyler Cassidy

Cooperation and competition between pathogens can alter the amount of individuals affected by a co-infection. Nonetheless, the evolution of the pathogens' behavior has been overlooked. Here, we consider a co-evolutionary model where the…

种群与进化 · 定量生物学 2022-03-23 Fakhteh Ghanbarnejad , Kai Seegers , Alessio Cardillo , Philipp Hövel

Interactions in biology and social systems are not restricted to pairwise but can take arbitrary sizes. Extensive studies have revealed that the arbitrary-sized interactions significantly affect the spreading dynamics on networked systems.…

物理与社会 · 物理学 2021-05-19 Wenyao Li , Xiaoyu Xue , Liming Pan , Tao Lin , Wei Wang

Optimal control of interdependent epidemics spreading over complex networks is a critical issue. We first establish a framework to capture the coupling between two epidemics, and then analyze the system's equilibrium states by categorizing…

系统与控制 · 计算机科学 2017-10-19 Juntao Chen , Rui Zhang , Quanyan Zhu

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