Global stability of discrete competition model

✍ Scribed by Wendi Wang

• Book ID: 104352206
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 403 KB
• Volume: 42
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(01)00197-3

✦ Synopsis

This is a study of global stability of a competition model governed by difference equations. It is shown that positive equilibrium of the model is globally stable if the competition matrix is diagonally dominant and the constants defining the intraspecific competition are less than or equal to 1. In the two-dimensional case, a different type of sufficient conditions for the global stability is established which relaxes the restriction on the constants defining the intraspecific competition.