Abstract
The global asymptotic behavior of a nonautonomous competitor-competitor-mutualist model is investigated, where all the coefficients are time-dependent and asymptotically approach periodic functions, respectively. Under certain conditions, it is shown that the limit periodic system of this asymptotically periodic model admits two positive periodic solutions such that , and the sector is a global attractor of the asymptotically periodic model. In particular, we derive sufficient conditions that guarantee the existence of a positive periodic solution which is globally asymptotically stable.
Citation
Shengmao Fu. Fei Qu. "Global Asymptotic Behavior of a Nonautonomous Competitor-Competitor-Mutualist Model." Abstr. Appl. Anal. 2013 (SI29) 1 - 8, 2013. https://doi.org/10.1155/2013/812357