The Influence of Temporal Migration in the Synchronization of Populations

Vanderlei Manica, Jacques Aveline Loureiro da Silva

Abstract


A discrete metapopulation model with temporal dependent migration is proposed in order to study the stability of synchronized dynamics. During each time step, we assume that there are two processes involved in the population dynamics: local patch dynamics and migration process between the patches that compose the metapopulation. We obtain an analytical criterion that depends on the local patch dynamics (Lyapunov number) and on the whole migration process. The stability of synchronized dynamics depends on how individuals disperse among the patches.

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References


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DOI: https://doi.org/10.5540/tema.2015.016.01.0031

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Trends in Computational and Applied Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)

 

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