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Positive Periodic Solutions of an Eco-Epidemic Model with Crowley–Martin type Functional Response and Disease in the Prey
- 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.
- Subjects :
- Lyapunov function
education.field_of_study
Applied Mathematics
Population
Functional response
Continuation theorem
Type (model theory)
01 natural sciences
Predation
010101 applied mathematics
symbols.namesake
0103 physical sciences
symbols
Discrete Mathematics and Combinatorics
Applied mathematics
Uniqueness
0101 mathematics
Epidemic model
education
010301 acoustics
Mathematics
Subjects
Details
- ISSN :
- 16623592 and 15755460
- Volume :
- 19
- Database :
- OpenAIRE
- Journal :
- Qualitative Theory of Dynamical Systems
- Accession number :
- edsair.doi...........ffe109129d710a43867d796cb1a546de