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• W4313593570 endingPage "126991" @default.
• W4313593570 startingPage "126991" @default.
• W4313593570 abstract "In this paper, a diffusive competition model is formulated by considering the memory-based diffusions of species in their movement and spatial heterogeneity of the resource. The global existence of solution for the proposed model is proved. Under weak competition, the existence and stability of the positive steady state are obtained, when the random diffusion rates are large enough, by using implicit function theorem and some priori estimations. However, when memory-based diffusions dominate the dynamics, spatial-temporal patterns can be observed. We also consider the case that both competition coefficients equal to one, showing that the stabilities of semi-trivial steady states, existence of positive steady state by the method of upper and lower solutions, and bistable dynamics of the model. The results reveal that the memory-based diffusion plays an important role on the competition outcomes. Specifically, the species with slower random diffusion may not help itself to wipe out its competitor because of disadvantageous memory-based diffusion, while the species with faster random diffusion but with advantageous memory-based diffusion may win the competition." @default.
• W4313593570 created "2023-01-06" @default.
• W4313593570 creator A5061779849 @default.
• W4313593570 creator A5065796147 @default.
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• W4313593570 date "2023-07-01" @default.
• W4313593570 modified "2023-09-27" @default.
• W4313593570 title "Dynamics of a diffusive competition model with memory effect and spatial heterogeneity" @default.
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• W4313593570 doi "https://doi.org/10.1016/j.jmaa.2022.126991" @default.
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