Positive Periodic Solutions of an Eco-Epidemic Model with Crowley–Martin type Functional Response and Disease in the Prey

Qualitative Theory of Dynamical Systems(2020)

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摘要
In this paper, we consider an eco-epidemic predator–prey model with Crowley–Martin type functional response and disease in prey population, which is a branch of study in biomathematics which reflects both ecological and epidemiological cases simultaneously. By using Mawhin continuation theorem and constructing a suitable Lyapunov function, we obtained some sufficient conditions for the existence, uniqueness and global attractivity of a positive periodic solution for the predator–prey model.
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关键词
Predator–prey model, Crowley–Martin functional response, Global attractivity, Periodic solution, Mawhin continuation theorem, Lyapunov function, 34C25, 92D25, 92D30
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