期刊
INTERNATIONAL JOURNAL OF BIOMATHEMATICS
卷 10, 期 5, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S1793524517500735
关键词
Predator-prey; Leslie-Gower; Bazykin functional response; Turing instability; pattern formation; global stability
In this paper, we study the dynamics of a diffusive modified Leslie-Gower model with the multiplicative Allee effect and Bazykin functional response. We give detailed study on the stability of equilibria. Non-existence of non-constant positive steady state solutions are shown to identify the rage of parameters of spatial pattern formation. We also give the conditions of Turing instability and perform a series of numerical simulations and find that the model exhibits complex patterns.
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