Global Stability and Canard Explosions of the Predator-Prey Model with the Sigmoid Functional Response
Author:
Funder
National Natural Science Foundation of China
Publisher
Society for Industrial & Applied Mathematics (SIAM)
Subject
Applied Mathematics
Reference56 articles.
1. Three Limit Cycles in a Leslie–Gower Predator-Prey Model with Additive Allee Effect
2. The entry-exit theorem and relaxation oscillations in slow-fast planar systems
3. Bistability and limit cycles in generalist predator–prey dynamics
4. A mathematical model for the continuous culture of microorganisms utilizing inhibitory substrates
5. Canard explosion, homoclinic and heteroclinic orbits in singularly perturbed generalist predator–prey systems
Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. A complete analysis of a slow–fast modified Leslie–Gower predator–prey system;International Journal of Biomathematics;2024-08-31
2. Canard Cycles and Their Cyclicity of a Fast–Slow Leslie–Gower Predator–Prey Model with Allee Effect;International Journal of Bifurcation and Chaos;2024-05-23
3. Canard Cycles and Homoclinic Orbit of a Leslie–Gower Predator–Prey Model with Allee Effect and Holling Type II Functional Response;Qualitative Theory of Dynamical Systems;2024-05-18
4. Existence and Uniqueness of a Canard Cycle with Cyclicity at Most Two in a Singularly Perturbed Leslie–Gower Predator–Prey Model with Prey Harvesting;International Journal of Bifurcation and Chaos;2024-03-06
5. Predator–prey model with sigmoid functional response;Studies in Applied Mathematics;2023-12-19
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