This paper addresses the global convergence of the epidemic models whose infected subsystems are monotone in the sense of Hirsch (1984). By invoking results from monotone system theory and nonlinear control theory, a simple method is proposed for determining the global asymptotic stability of a disease free equilibrium (DFE) and the global convergence to an endemic equilibrium (EE). Typical epidemic models are studied to illustrate the applicability of the proposed methodology.

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monotone system theory disease free equilibrium global asymptotic stability method nonlinear control methodology epidemic models hirsch

Honglei Xu,Huawen Ye, Weihua Gui,.Global convergence analysis of a class of epidemic models. 47 (0),.

Honglei Xu,Huawen Ye, Weihua Gui,"Global convergence analysis of a class of epidemic models" 47

Honglei Xu,Huawen Ye, Weihua Gui,"Global convergence analysis of a class of epidemic models"