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

Authors :
Shuling Yan
Zengji Du
Min Cai
Source :
Qualitative Theory of Dynamical Systems. 19
Publication Year :
2020
Publisher :
Springer Science and Business Media LLC, 2020.

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.

Details

ISSN :
16623592 and 15755460
Volume :
19
Database :
OpenAIRE
Journal :
Qualitative Theory of Dynamical Systems
Accession number :
edsair.doi...........ffe109129d710a43867d796cb1a546de