DOAJ Open Access 2023

Global stability in a diffusive predator–prey model of Leslie–Gower type

Wenshu Zhou Xiaodan Wei

Abstrak

We consider a diffusive predator–prey model of Leslie–Gower type, and obtain a new global stability result by combining the Lyapunov function method and the transformation technique used in Qi and Zhu, (2016). Our result partially answers the question proposed in [Y. H. Du and S. B. Hsu, J. Differential Equations 203(2004) 331–364]. In addition, we extend the result to a class of diffusive systems with a more general type of reaction-terms.

Topik & Kata Kunci

Applied mathematics. Quantitative methods

Penulis (2)

Wenshu Zhou

Xiaodan Wei

Format Sitasi

APA MLA BibTeX

Zhou, W., Wei, X. (2023). Global stability in a diffusive predator–prey model of Leslie–Gower type. https://doi.org/10.1016/j.padiff.2022.100472

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.1016/j.padiff.2022.100472
Akses: Open Access ✓