A Metapopulation Model with Patches Distributed in Two Geographical Scales

作     者：Vanderlei Manica Jacques Aveline Loureiro da Silva 

作者机构：Department of Pure and Applied Mathematies UFRGS Porto Alegre 91509-900 Brasil 

出 版 物：《Journal of Mechanics Engineering and Automation》 (机械工程与自动化（英文版）)

年 卷 期：2014年第4卷第4期

页      面：284-290页

学科分类：07[理学] 08[工学] 070104[理学-应用数学] 0835[工学-软件工程] 0701[理学-数学] 081202[工学-计算机软件与理论] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：Metapopulation distribution matrix Lyapunov number. 

摘      要：We propose a metapopulation model with two geographical scales. In a regional scale, the model describes the dynamics of a collection of habitats connected by migratory movements. In a local scale, we consider some granularity within each habitat, in the sense that each habitat is itself a collection of patches linked by dispersal. The whole ensemble can be seen as a metapopulation composed by local metapopulations. We analyze the synchronization of the model in the two geographical scales. We present an analytic criterion for synchronization where only the habitats in the regional scale evolve with the same dynamics. Through numerical simulations, we discuss the different synchronization modes. It depends on how the individuals are distributed in the local patches that compose a habitat after migration takes place in the regional scale.