Bifurcation Analysis of a Delayed Infection Model with General Incidence Function.

Bifurcation Analysis of a Delayed Infection Model with General Incidence Function.
Comput Math Methods Med. 2019;2019:1989651
Authors: Zhang S, Dong H, Xu J
Abstract
In this paper, an infection model with delay and general incidence function is formulated and analyzed. Theoretical results reveal that positive equilibrium may lose its stability, and Hopf bifurcation occurs when choosing delay as the bifurcation parameter. The direction of Hopf bifurcation and the stability of the periodic solutions are also discussed. Furthermore, to illustrate the numerous changes in the local stability and instability of the positive equilibrium, we conduct numerical simulations by using four different types of functional incidence, i.e., bilinear incidence, saturation incidence, Beddington-DeAngelis response, and Hattaf-Yousfi response. Rich dynamics of the model, such as Hopf bifurcations and chaotic solutions, are presented numerically.
PMID: 31360215 [PubMed - in process]

Source: Computational and Mathematical Methods in Medicine - August 1, 2019 Category: Statistics Tags: Comput Math Methods Med Source Type: research