Stability analysis for a class of discrete schistosomiasis models with general incidence

Abstract

Abstract In this paper, we propose to study a class of discrete schistosomiasis models with general incidence function. This model is derived from a continuous schistosomiasis model (in Appl. Math. 4:1682-1693, 2003) by using the backward Euler discretization method with step size h = 1 $h=1$ . We visit some basic properties of this discrete model and we study the stabilities of the equilibria by constructing some appropriate Lyapunov functional for the endemic equilibrium.

Keywords

• backward Euler method
• discrete schistosomiasis models
• globally asymptotic stability
• Lyapunov functional
• general incidence
• reproduction number