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- Title
Existence of positive periodic solutions for a predator-prey model.
- Authors
Chunhua Feng
- Abstract
In this paper, a class of nonlinear predator-prey models with three discrete delays is considered. By linearizing the system at the positive equilibrium point and analyzing the instability of the linearized system, two sufficient conditions to guarantee the existence of positive periodic solutions of the system are obtained. It is found that under suitable conditions on the parameters, time delay affects the stability of the system. The present method does not need to consider a bifurcating equation which is very complex for such a predator-prey model with three discrete delays. Some numerical simulations are provided to illustrate our theoretical prediction.
- Subjects
LOTKA-Volterra equations; NONLINEAR equations; BIFURCATION theory; NUMERICAL solutions to differential equations; NONLINEAR difference equations
- Publication
Tamkang Journal of Mathematics, 2024, Vol 55, Issue 1, p45
- ISSN
0049-2930
- Publication type
Article
- DOI
10.5556/j.tkjm.55.2024.4821