文章基本信息

标题：Multi-patch deterministic and stochastic models for wildlife diseases
本地全文：下载
作者：Robert K. McCormack ; Linda J. S. Allen
期刊名称：Journal of Biological Dynamics
印刷版ISSN：1751-3758
电子版ISSN：1751-3766
出版年度：2011
卷号：1
期号：1
页码：63-85
DOI：10.1080/17513750601032711
出版社：Taylor & Francis
摘要：Spatial heterogeneity and host demography have a direct impact on the persistence or extinction of a disease. Natural or human-made landscape features such as forests, rivers, roads, and crops are important to the persistence of wildlife diseases. Rabies, hantaviruses, and plague are just a few examples of wildlife diseases where spatial patterns of infection have been observed. We formulate multi-patch deterministic and stochastic epidemic models and use these models to investigate problems related to disease persistence and extinction. We show in some special cases that a unique disease-free equilibrium exists. In these cases, a basic reproduction number ℝ 0 can be computed and shown to be bounded below and above by the minimum and maximum patch reproduction numbers ℝ j , j =1, …, n . The basic reproduction number has a simple form when there is no movement or when all patches are identical or when the movement rate approaches infinity. Numerical examples of the deterministic and stochastic models illustrate the disease dynamics for different movement rates between three patches.
关键词：Epidemic models; Multiple patches; Stochastic models