Abstract
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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We express our sincere thanks to the anonymous reviewers for their valuable comments and suggestions for improving the quality of the paper.
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This work is supported by the Natural Science Foundation of China (Grant No. 11871251, 11801231 and 11771185).
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Cai, M., Yan, S. & Du, Z. Positive Periodic Solutions of an Eco-Epidemic Model with Crowley–Martin type Functional Response and Disease in the Prey. Qual. Theory Dyn. Syst. 19, 56 (2020). https://doi.org/10.1007/s12346-020-00392-3
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DOI: https://doi.org/10.1007/s12346-020-00392-3
Keywords
- Predator–prey model
- Crowley–Martin functional response
- Global attractivity
- Periodic solution
- Mawhin continuation theorem
- Lyapunov function