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Rich dynamics of an SIR epidemic model. (English) Zbl 1217.93072
Summary: This paper aims to study an SIR epidemic model with an asymptotically homogeneous transmission function. The stability of the disease-free and the endemic equilibrium is addressed. Numerical simulations are carried out. Implications of our analytical and numerical findings are discussed critically.

MSC:
93C15 Control/observation systems governed by ordinary differential equations
93A30 Mathematical modelling of systems (MSC2010)
92D30 Epidemiology
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