Relaxation oscillations in a slow–fast modified Leslie–Gower model

In this paper, we prove the existence and uniqueness of relaxation oscillation cycle of a slow–fast modified Leslie–Gower model via the entry–exit function and geometric singular perturbation theory. Numerical simulations are also carried out to illustrate our theoretical result.

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Bibliographic Details
Published inApplied mathematics letters Vol. 87; pp. 147 - 153
Main Authors Wang, Cheng, Zhang, Xiang
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.01.2019
Subjects
Entry–exit function
Geometric singular perturbation
Relaxation oscillation
Slow–fast system
Entry–exit function
Geometric singular perturbation
Relaxation oscillation
Slow–fast system
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Summary:In this paper, we prove the existence and uniqueness of relaxation oscillation cycle of a slow–fast modified Leslie–Gower model via the entry–exit function and geometric singular perturbation theory. Numerical simulations are also carried out to illustrate our theoretical result.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2018.07.029