Effect of discretization on dynamical behavior of SEIR and SIR models with nonlinear incidence

• DOI: 10.1016/j.aml.2014.08.012
• Publication Date: 2014-08-29T17:17:40Z
• Authors: Junli Liu; Baoyang Peng; Tailei Zhang
• Keywords: 0101 mathematics; 01 natural sciences

Abstract In this paper, using the forward Euler and backward Euler methods, we present four discrete epidemic models with the nonlinear incidence rate. We discuss the effect of two discretizations on the stability of the endemic equilibrium for these models. Numerical simulations are performed to illustrate our analytic results.