2014•Advances in Difference EquationsOpen access

Analysis of an SIS epidemic model with treatment

Jinghai Wang, Qiaohong Jiang

Abstract

An SIS epidemic model with saturated incidence rate and treatment is considered. According to different recovery rates, we use differential stability theory and qualitative theory to analyze the various kinds of endemic equilibria and disease-free equilibrium. Finally, we get complete configurations of different endemic equilibria and disease-free equilibrium.

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Key concepts: Ordinary differential equation, Mathematics, Epidemic model, Stability (learning theory), Partial differential equation, Applied mathematics, Mathematical economics, Endemic disease