Global stability of the endemic equilibrium of multigroup SIR models with nonlinear incidence
Computers & Mathematics with Applications
In this paper, we introduce a basic reproduction number for a multigroup epidemic model with nonlinear incidence. Then, we establish that global dynamics are completely determined by the basic reproduction number R(0). It shows that, the basic reproduction number R(0) is a global threshold parameter in the sense that if it is less than or equal to one, the disease free equilibrium is globally stable and the disease dies out; whereas if it is larger than one, there is a unique endemic equilibrium which is globally stable and thus the disease persists in the population. Finally, a numerical example is also included to illustrate the effectiveness of the proposed result. (C) 2010 Elsevier Ltd. All rights reserved.
Sun, Ruoyan, Global stability of the endemic equilibrium of multigroup SIR models with nonlinear incidence (2010). Computers & Mathematics with Applications, 60(8), 2286-2291.