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oaioai:scholarworks.wm.edu:aspubs-1745

Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis

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Publication date
1 January 2016
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W&M ScholarWorks
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    Abstract

    This paper proves the global existence and boundedness of solutions to a general reaction diffusion predator prey system with prey-taxis defined on a smooth bounded domain with no-flux boundary condition. The result holds for domains in arbitrary spatial dimension and small prey-taxis sensitivity coefficient. This paper also proves the existence of a global attractor and the uniform persistence of the system under some additional conditions. Applications to models from ecology and chemotaxis are discussed. (C) 2016 Elsevier Inc. All rights reserved

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    College of William & Mary: W&M Publish

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    Last time updated on 30/10/2019

    This paper was published in College of William & Mary: W&M Publish.

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