Complex Dynamics of Discrete SEIS Models with Simple Demography

Authors

Hui Cao, Xi'an Jiaotong University
Yicang Zhou, Xi'an Jiaotong University
Baojun Song, Montclair State UniversityFollow

Document Type

Article

Publication Date

12-1-2011

Journal / Book Title

Discrete Dynamics in Nature and Society

Abstract

We investigate bifurcations and dynamical behaviors of discrete SEIS models with exogenous reinfections and a variety of treatment strategies. Bifurcations identified from the models include period doubling, backward, forward-backward, and multiple backward bifurcations. Multiple attractors, such as bistability and tristability, are observed. We also estimate the ultimate boundary of the infected regardless of initial status. Our rigorously mathematical analysis together with numerical simulations show that epidemiological factors alone can generate complex dynamics, though demographic factors only support simple equilibrium dynamics. Our model analysis supports and urges to treat a fixed percentage of exposed individuals.

Comments

This article is Open Access and distributed under a Creative Commons 3.0 License.

DOI

10.1155/2011/653937

MSU Digital Commons Citation

Cao, Hui; Zhou, Yicang; and Song, Baojun, "Complex Dynamics of Discrete SEIS Models with Simple Demography" (2011). Department of Applied Mathematics and Statistics Faculty Scholarship and Creative Works. 29.
https://digitalcommons.montclair.edu/appliedmath-stats-facpubs/29