Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 260, Issue 7, Pages 5847-5874Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2015.12.024
Keywords
Reaction diffusion system with prey-taxis; Predator-prey model; Global existence; Boundedness; Uniform persistence
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Funding
- National Natural Science Foundation of China [11271100]
- NSF [DMS-1313243]
- China Scholarship Council
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1313243] Funding Source: National Science Foundation
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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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