Jianwen Jia
Abstract
This paper deals with a kind of SIR epidemic model with constant input and nonlinear incidence rate. The behavior of solution and the threshold conditions of existing equilibria are obtained. The sufficient conditions on the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium.
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This paper deals with a kind of SIR epidemic model with constant input and nonlinear incidence rate. The behavior of solution and the threshold conditions of existing equilibria are obtained. The sufficient conditions on the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium.
Key concepts: Epidemic model, Exponential stability, Nonlinear system, Constant (computer programming), Mathematics, Stability (learning theory), Applied mathematics, Incidence (geometry)