Relaxation Oscillations and Dynamical Properties in Two Time-Delay Slow-Fast Modified Leslie-Gower Models

Autor: Yufeng Wang, Youhua Qian, Bingwen Lin
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Complexity, Vol 2020 (2020)
Druh dokumentu: article
ISSN: 1076-2787
1099-0526
DOI: 10.1155/2020/1351397
Popis: In this paper, we consider two kinds of time-delay slow-fast modified Leslie-Gower models. For the first system, we prove the existence and uniqueness of relaxation oscillation cycle through the geometric singular perturbation theory and entry-exit function. For the second system, we put forward a conjecture that the relaxation oscillation of the system is unique. Numerical simulation also verifies our results for the systems.
Databáze: Directory of Open Access Journals
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