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

• Cai, Min ^[1] ; Yan Shuling ^[1] ; Du Zengji ^[1]
  1. [1] Jiangsu Normal University

     Jiangsu Normal University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 19, Nº 2, 2020
• Idioma: inglés
• DOI: 10.1007/s12346-020-00392-3
• Enlaces
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• Resumen

  • 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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