Complex dynamics of discrete SEIS models with simple demography

Hui Cao, Yicang Zhou, Baojun Song

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)

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.

Original languageEnglish
Article number653937
JournalDiscrete Dynamics in Nature and Society
Volume2011
DOIs
StatePublished - 1 Dec 2011

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Demography
Complex Dynamics
Discrete Model
Bifurcation
Backward Bifurcation
Bistability
Period Doubling
Model Analysis
Mathematical Analysis
Dynamical Behavior
Percentage
Attractor
Numerical Simulation
Estimate
Computer simulation
Model
Strategy

Cite this

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Complex dynamics of discrete SEIS models with simple demography. / Cao, Hui; Zhou, Yicang; Song, Baojun.

In: Discrete Dynamics in Nature and Society, Vol. 2011, 653937, 01.12.2011.

Research output: Contribution to journalArticleResearchpeer-review

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AU - Zhou, Yicang

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AB - 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.

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