Dynamical transition for S‐K‐T biological competing model with cross‐diffusion. (27th April 2018)

• Record Type: Journal Article
• Authors: Zhang, Dongpei; Liu, Ruikuan
• Is Part Of: Mathematical methods in the applied sciences. Volume 41:Number 12(2018)
• Page Start: 4641
• Page End: 4658
• Publication Date: 2018-04-27
• Subjects: Center manifold reduction -- cross‐diffusion -- dynamic transition -- S‐K‐T biological competing model; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4919
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : The main objective of this paper is to study the dynamical transition for the S‐K‐T biological competition system with cross‐diffusion. Based on the spectral analysis, the principle of exchange of stabilities conditions for eigenvalues are obtained. By using the dynamical transition theory, 2 different types of dynamical transition for the S‐K‐T model are also derived. In addition, an example is given to illustrate our main results.