Dynamics in a parabolic-elliptic two-species population competition model with cross-diffusion for one species

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:456

Article

Liu, Yuanyuan¹  Tao, Youshan² 

[1] Donghua Univ, Coll Informat & Technol, Shanghai 200051, Peoples R China

[2] Donghua Univ, Dept Appl Math, Shanghai 200051, Peoples R China

关键词: Cross-diffusion;    Solvability;    Asymptotic stability;   

DOI  :  10.1016/j.jmaa.2017.05.058

来源: Elsevier

【 摘 要 】

This work deals with a simplified parabolic-elliptic population competition model with cross-diffusion for one species. We first claim that this model has at least a non-trivial global smooth solution, and then we detect explicit parameter ranges under which the coexistence steady state and the two semi-trivial steady states are globally and asymptotically stable. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free