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Yan, Xiang-Ping; Zhang, Cun-Hua

Global stability of a delayed diffusive predator-prey model with prey harvesting of Michaelis-Menten type. (English) Zbl 1458.35436

Appl. Math. Lett. 114, Article ID 106904, 7 p. (2021).
Summary: This paper considers a modified Leslie-Gower delayed reaction-diffusion predator-prey model with prey harvesting of Michaelis-Menten type and subject to homogeneous Neumann boundary condition. The global asymptotic stability of the positive constant steady state of the model is analyzed further and an existing global stability result is improved.

Cited in 7 Documents

MSC:

35Q92 PDEs in connection with biology, chemistry and other natural sciences
92D25 Population dynamics (general)
35B35 Stability in context of PDEs
35B40 Asymptotic behavior of solutions to PDEs
35R07 PDEs on time scales

Keywords:

delayed reaction-diffusion system; Leslie-Gower predator-prey model; Michaelis-Menten-type prey harvesting; upper-lower solution method; global asymptotic stability
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References:

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