CHAOTIC EFFECTS ON DISEASE SPREAD IN A SIMPLE ECO-EPIDEMIOLOGICAL SYSTEM | Zendy

Junyuan Yang | Zendy; Maia Martcheva | Zendy; Zhen Jin | Zendy

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CHAOTIC EFFECTS ON DISEASE SPREAD IN A SIMPLE ECO-EPIDEMIOLOGICAL SYSTEM

Author(s) -

Junyuan Yang,

Maia Martcheva,

Zhen Jin

Publication year - 2017

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2017072

Subject(s) - chaotic , hopf bifurcation , mathematics , population , instability , bifurcation , simple (philosophy) , epidemiology , stability (learning theory) , control theory (sociology) , computer science , mechanics , physics , control (management) , medicine , nonlinear system , environmental health , philosophy , epistemology , quantum mechanics , artificial intelligence , machine learning

In this paper, an eco-epidemiological model where prey disease is structured as a susceptible-infected model is investigated. Thresholds that control disease spread and population persistence are obtained. Existence, stability and instability of the system are studied. Hopf bifurcation is shown to occur where a periodic solution bifurcates from the coexistence equilibrium. Simulations show that the system exhibits chaotic phenomena when the transmission rate is varied.

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