Title
On the stable periodic solutions of a delayed two-species model of facultative mutualism
Abstract
Inspired by a delayed single-species population growth model with so-called hereditary effect, we propose a delayed two-species system modelling “facultative mutualism” in this paper. Easily verifiable sufficient conditions are derived for the existence and globally asymptotic stability of positive periodic solutions of system by employing some analysis techniques and Lyapunov functional. Later, we extend the above results to a more general two-species facultative mutualism system involving multiple delays. Some previous results are extended and improved. Biological interpretations on the main results are also given.
Year
DOI
Venue
2008
10.1016/j.amc.2007.05.049
Applied Mathematics and Computation
Keywords
Field
DocType
Facultative mutualism,Delay,Continuation theorem,Periodic solution,Lyapunov functional,Globally asymptotic stability
Control theory,Continuation theorem,Exponential stability,Facultative,Mutualism (biology),Lyapunov functional,Periodic graph (geometry),Population model,Mathematics
Journal
Volume
Issue
ISSN
196
1
0096-3003
Citations 
PageRank 
References 
4
0.72
3
Authors
4
Name
Order
Citations
PageRank
Zhijun Liu1153.17
Ronghua Tan293.37
Yiping Chen314820.86
Lansun Chen431574.90