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Positive solutions of a Lotka–Volterra competition model with cross-diffusion

✍ Scribed by Jia, Yunfeng; Wu, Jianhua; Xu, Hong-Kun

Book ID
126486854
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
336 KB
Volume
68
Category
Article
ISSN
0898-1221

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We consider a Lotka᎐Volterra competition model with diffusion on R which describes the dynamics of the population of two competing species, and study the stability of positive stationary solutions of the model relative to the space X of bounded uniformly continuous functions with the supremum norm.

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In this paper, using the existence and comparison conclusion for the time-periodic quasimonotone nondecreasing systems given by Pao C.V. and iterative method, we investigate the time-periodic Lotka-Volterra cooperating model and present some existence, uniqueness and nonexistence results. We also us