Article ID: | iaor20112042 |
Volume: | 217 |
Issue: | 10 |
Start Page Number: | 4866 |
End Page Number: | 4878 |
Publication Date: | Jan 2011 |
Journal: | Applied Mathematics and Computation |
Authors: | Chen Haibo, Cai Zuowei, Huang Lihong |
Keywords: | predator-prey model |
In this paper, a delayed multispecies ecological competition‐predator system with Holling‐III functional response is studied. By using the continuation theorem of coincidence degree theory and constructing suitable Lyapunov functionals, some sufficient conditions are derived for the existence, uniqueness and global asymptotic stability of positive periodic solutions to the system.