Positive periodic solution for a multispecies competition‐predator system with Holling III functional response and time delays

Positive periodic solution for a multispecies competition‐predator system with Holling III functional response and time delays

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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: , ,
Keywords: predator-prey model
Abstract:

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.

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