期刊
NONLINEARITY
卷 26, 期 4, 页码 1083-1103出版社
IOP PUBLISHING LTD
DOI: 10.1088/0951-7715/26/4/1083
关键词
-
资金
- [MTM2009-13655 MICINN]
In this paper, we study a system of partial differential equations describing the evolution of a population under chemotactic effects with non-local reaction terms. We consider an external application of chemoattractant in the system and study the cases of one and two populations in competition. By introducing global competitive/cooperative factors in terms of the total mass of the populations, we obtain, for a range of parameters, that any solution with positive and bounded initial data converges to a spatially homogeneous state with positive components. The proofs rely on the maximum principle for spatially homogeneous sub-and super-solutions.
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