Journal
APPLIED MATHEMATICS LETTERS
Volume 114, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2020.106904
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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Funding
- National Natural Science Foundation of China [61563026]
- Foundation of a Hundred Youth Talents Training Program of Lanzhou Jiaotong University, China [152022]
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This paper investigates a modified Leslie-Gower delayed reaction-diffusion predator-prey model with prey harvesting of Michaelis-Menten type and under homogeneous Neumann boundary condition. The global asymptotic stability of the positive constant steady state is further analyzed and an existing global stability result is enhanced.
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. (C) 2020 Elsevier Ltd. All rights reserved.
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