Existence and global attractivity of positive periodic solution to a Lotka–Volterra model

✍ Scribed by Xiaoli Wang; Zengji Du; Jing Liang

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 274 KB
• Volume: 11
• Category: Article
• ISSN: 1468-1218
• DOI: 10.1016/j.nonrwa.2010.03.011

✦ Synopsis

In this paper, by using Mawhin's continuation theorem and constructing a suitable Lyapunov functional, a Lotka-Volterra model with mutual interference and Holling III type functional response is studied. Some sufficient conditions are obtained for the existence, uniqueness and global attractivity of a positive periodic solution of the model. Furthermore, the conditions are related to the interference constant m.