A Non-autonomous SIR Epidemic Mo del of Prey-predator with Vaccination and Time Delay

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A non-autonomous SIR epidemic model of prey-predator with vaccination and time delay is investigated in this paper. And an infectious disease is only considered to spread among the prey population. By using comparison principle and Lyapunov functional methods, we obtain the su?cient criteria for the permanence, extinction of infectious disease and the global attractively of the model . Furthermore, some numerical simulations illustrate that the vaccination has a better effect for disease controlling of infective prey.
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