Global Solutions in the Species Competitive Chemotaxis System with Inequal Diffusion Rates

Huaihuo Cao

Discrete Dynamics in Nature and Society, 2016, vol. 2016, 1-9

Abstract:

This paper is devoted to studying the two-species competitive chemotaxis system with signal-dependent chemotactic sensitivities and inequal diffusion rates , , , , , , under homogeneous Neumann boundary conditions in a bounded and regular domain . If the nonnegative initial date and where the constants , the system possesses a unique global solution that is uniformly bounded under some suitable assumptions on the chemotaxis sensitivity functions , and linear chemical production function .

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:5015246

DOI: 10.1155/2016/5015246

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