Dynamics analysis and numerical simulations of a delayed stochastic epidemic model subject to a general response function

• Published in: Computational & applied mathematics Vol. 38; no. 2; pp. 1 - 30
• Main Authors: Li, Fei, Zhang, Shengqiang, Meng, Xinzhu
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.06.2019; Springer Nature B.V
• Subjects: Applications of Mathematics; Applied physics; Asymptotic properties; Background noise; Computational mathematics; Computational Mathematics and Numerical Analysis; Computer simulation; Economic models; Epidemics; Liapunov functions; Mathematical Applications in Computer Science; Mathematical Applications in the Physical Sciences; Mathematical models; Mathematics; Mathematics and Statistics; Nonlinear response; Response functions; Simulation; Stochastic models; Time delays; Numerical simulations; Global asymptotics; 65C30; 34E10; 92B05; Nonlinear incidence rate; Stochastic delayed epidemic model

This paper proposes a new delayed stochastic epidemic model with double epidemic hypothesis and a general nonlinear response function. The main purpose is to explore the effects of environmental noise and the general nonlinear response function on stochastic dynamics. By constructing appropriate Lya...