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Melnikov analysis of chaos in an epidemiological model with almost periodic incidence rates
infective models chaos, Melnikov’s method homoclinic orbit
2010/9/13
In this paper we study the well-known SIR model of epidemic dynamics with an almost periodic incidence rate. We make use of similar techniques utilized in a recent work to establish the existence of c...
Stability analysis of a delay-difference SIS epidemiological model
epidemic model SIS model Stability analysis
2010/9/15
We develop a discrete-time SIS model with exponential incidence and where the proportion of infectives takes the form of a delay-difference equation. This model generalizes a model developed by Cooke,...