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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:260

Article

Wu, Sainan¹  Shi, Junping²  Wu, Boying¹ 

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China

[2] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

关键词: Reaction diffusion system with prey-taxis;    Predator-prey model;    Global existence;    Boundedness;    Uniform persistence;   

DOI  :  10.1016/j.jde.2015.12.024

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free