文章基本信息

标题：Multiscale analysis of compartment models with dispersal
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作者：Yun Kang ; Carlos Castillo-Chavez
期刊名称：Journal of Biological Dynamics
印刷版ISSN：1751-3758
电子版ISSN：1751-3766
出版年度：2012
卷号：6
期号：sup2
页码：50-79
DOI：10.1080/17513758.2012.713125
出版社：Taylor & Francis
摘要：The characterization of the population dynamics of animal populations and dispersal provides the underlying setting of this article. Novel results emerge from our exploration of the role of disease in this context. We focus on the study of the impact of dispersal on the dynamics of populations that account for (a) induced Allee effects; (b) disease dynamics; and (c) spatial heterogeneity, using deterministic and stochastic models. Specifically, the models incorporate disease-driven effects on the individuals’ competitive ability to acquire resources as well as on their ability to move or reproduce. The results bring to the forefront the role of initial conditions and patch quality as well as ‘topological’ structure or connectivity landscape structure (the physical space where individuals move, reproduce, get sick, die, or compete for resources). The emphasis is placed on the dynamics of populations when disease is an important selective force. This article surveys the appropriate literature while including original research.
关键词：Allee effects; competition; epidemics; infectious disease; reproductive fitness; metapopulation model; multiple interior equilibria; bifurcation; catastrophe; mathematical biology; conservation biology; sustainability