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Existence and stability of almost periodic solutions of nonautonomous competitive systems with weak Allee effect and delays

✍ Scribed by Wanqin Wu; Yuan Ye

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
232 KB
Volume
14
Category
Article
ISSN
1007-5704

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✦ Synopsis

In this paper, a class of nonautonomous Lotka-Volterra type multispecies competitive systems with weak Allee effect and delays are considered. By using Mawhin's continuation theorem of coincidence degree theory, we obtain some sufficient conditions for the existence of almost periodic solutions for the Lotka-Volterra system. On the case of no delays of Allee effects, by constructing a suitable Lyapunov function, we get a sufficient condition for the globally attractivity of the almost periodic solution for the Lotka-Volterra system. Moreover, we also present an illustrative example to show the effectiveness of our results.

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