Relaxation Oscillations and Dynamical Properties in Two Time-Delay Slow-Fast Modified Leslie-Gower Models
| Autor: | Y. H. Qian, Bingwen Lin, Yufeng Wang |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics
Singular perturbation Multidisciplinary Conjecture General Computer Science Computer simulation Article Subject Oscillation 010102 general mathematics Mathematical analysis QA75.5-76.95 Function (mathematics) 01 natural sciences 010305 fluids & plasmas Electronic computers. Computer science 0103 physical sciences Leslie gower Uniqueness Relaxation (approximation) 0101 mathematics |
| Zdroj: | Complexity, Vol 2020 (2020) |
| ISSN: | 1076-2787 |
| 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: | OpenAIRE |
| Externí odkaz: |
|
Plný text