On synchronization, persistence and seasonality in some spatially inhomogeneous models in epidemics and ecology

E. Ahmed, A.S. Hegazi, A.S. Elgazzar and H.M. Yehia

Physica A: Statistical Mechanics and its Applications, 2003, vol. 322, issue C, 155-168

Abstract: 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.

Keywords: Spatial heterogeneity; Synchronization; Persistence; Seasonality; Differential equations with periodic coefficients (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:322:y:2003:i:c:p:155-168

DOI: 10.1016/S0378-4371(02)01937-4

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