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.

中文翻译：

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具有Crowley-Martin型功能性反应和被捕食者疾病的生态流行病模型的正周期解

在本文中，我们考虑了具有Crowley-Martin型功能性反应和被捕食者疾病的生态流行性捕食者-被捕食者模型，这是生物数学研究的一个分支，同时反映了生态和流行病学情况。通过使用Mawhin连续定理并构建合适的Lyapunov函数，我们为捕食者－食饵模型的正周期解的存在性，唯一性和全局吸引性提供了一些充分条件。