Single patch discrete-(S-1-S) models are capable of supporting multiple endemic equilibria coexisting with a locally asymptotically stable disease-free equilibrium, via backward bifurcations. We illustrate the richness generated by such "simple" nonlinear systems in the study of two patch epidemic models with disease-enhanced or disease-suppressed dispersal. It is shown that disease persistence can be enhanced by dispersal.
Dispersal, Disease and Life-History EvolutionCarlos Abstract: Single patch discrete-time S-I-S epidemic models are capable of supporting multiple endemic equilibria coexisting with a locally asymptotically stable disease-free equilibrium, via backward bifurcations. We illustrate the richness generated by such "simple" nonlinear systems in the study of two patch epidemic models with disease-enhanced or disease-suppressed dispersal. It is shown that disease persistence can be enhanced by dispersal.
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