Mathematical analysis of an eco-epidemiological predator–prey model with stage-structure and latency |
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| Authors: | Lingshu Wang Pei Yao Guanghui Feng |
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| Institution: | 1.School of Mathematics and Statistics,Hebei University of Economics and Business,Shijiazhuang,People’s Republic of China;2.Department of International Trade,Shijiazhuang Information Engineering Vocational College,Shijiazhuang,People’s Republic of China;3.Institute of Applied Mathematics,Shijiazhuang Mechanical Engineering College,Shijiazhuang,People’s Republic of China |
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| Abstract: | In this paper, an eco-epidemiological predator–prey model with stage structure for the prey and a time delay describing the latent period of the disease is investigated. By analyzing corresponding characteristic equations, the local stability of the trivial equilibrium, the predator-extinction equilibrium, the disease-free equilibrium and the endemic equilibrium is addressed. The existence of Hopf bifurcations at the endemic equilibrium is established. By using Lyapunov functionals and LaSalle’s invariance principle, sufficient conditions are obtained for the global asymptotic stability of the trivial equilibrium, the predator-extinction equilibrium, the disease-free equilibrium and the endemic equilibrium of the model. |
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