Global Stability of a Discrete Mutualism Model. (23rd June 2014)

• Record Type: Journal Article
• Authors: Yang, Kun; Xie, Xiangdong; Chen, Fengde
• Other Names: Guerrini Luca Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-06-23
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/709124
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : A discrete mutualism model is studied in this paper. By using the linear approximation method, the local stability of the interior equilibrium of the system is investigated. By using the iterative method and the comparison principle of difference equations, sufficient conditions which ensure the global asymptotical stability of the interior equilibrium of the system are obtained. The conditions which ensure the local stability of the positive equilibrium is enough to ensure the global attractivity are proved.