On Synchronization, Persistence and Seasonality in some Spatially Inhomogeneous Models in Epidemics and Ecology

Details On Synchronization, Persistence and Seasonality in some Spatially Inhomogeneous Models in Epidemics and Ecology On Synchronization, Persistence and Seasonality in some Spatially Inhomogeneous Models in Epidemics and Ecology

2001-07-31

arxiv.org/abs/cond-mat/0107629v1

Physics

Condensed Matter

Statistical Mechanics

10 pages

Scientific paper

Recent studies in ecology and epidemiology indicate that it is important to include spatial heterogeneity, synchronization and seasonality in the theoretical models. In this work, spatial heterogeneity is introduced via coupled map lattices (CML) and partial differential equations. Stability and persistence of some realistic CML are discussed. Chaos control, synchronization and persistence are studied for some CML. Some applications in population biology and ecology are given. A simple method for finding the sufficient conditions for the existence of periodic solutions for differential equations with periodic coefficients is given. This will simplify the study of seasonality.

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