 Dynamic analysis of a fast slow modified Leslie–Gower predator–prey model with constant harvest and stochastic factorZhenlei Li and Yue Zhang Mathematics and Computers in Simulation (MATCOM), 2024, vol. 226, issue C, 474-499 Abstract: In this paper, the dynamic properties of a fast slow modified Leslie–Gower predator–prey model with constant harvest are discussed. The results show that the system appears different Hopf bifurcations and limit cycles as parameters change, and the stability of the internal equilibriums changes accordingly. The system also appears Bogdanov–Takens bifurcation phenomenon. For the fast–slow system of this model, the second order approximate perturbation manifolds, and an approximate manifold passing the fold point are constructed. Then using the criterion of inflection point curve and blow-up method, the existence of canard cycles is analyzed. By comparing with the model with nonlinear harvest, the different effects of constant harvest on the model are highlighted. In addition, the effect of stochastic factors on the fast–slow system is considered. Keywords: Fast–slow system; Modified Leslie–Gower predator–prey model; Bifurcation; Harvest; Canard cycle; Stochastic analysis (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:226:y:2024:i:c:p:474-499 DOI: 10.1016/j.matcom.2024.07.027 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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