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Chaotic effects on disease spread in simple eco-epidemiological system |
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| Authors: | Junyuan Yang Maia Marcheva Zhen Jin |
| Affiliation: | Complex Systems Research Center, Shanxi University, Shanxi, 030006 Taiyuan, China;School of Mathematics, Shanxi University, Shanxi, 030006 Taiyuan, China,Department of Mathematics, University of Florida, FL, 32611-8105 Gainesville, USA,Complex Systems Research Center, Shanxi University, Shanxi, 030006 Taiyuan, China;School of Mathematics, Shanxi University, Shanxi, 030006 Taiyuan, China |
| Abstract: | 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. |
| Keywords: | Eco-epidemiological Hopf bifurcation chaos. |
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