Permanence of species in nonautonomous discrete Lotka–Volterra competitive system with delays and feedback controls

A nonautonomous N-species discrete Lotka–Volterra competitive system of difference equations with delays and feedback controls is considered. New sufficient conditions are obtained for the permanence of this discrete system. The results indicate that one can choose suitable controls to make the spec...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2008-01, Vol.211 (1), p.1-10
Main Authors: Liao, Xinyuan, Ouyang, Zigen, Zhou, Shengfan
Format: Article
Language:English
Subjects:
Delays
Difference and functional equations, recurrence relations
Exact sciences and technology
Finite differences and functional equations
Lotka–Volterra discrete system
Mathematical analysis
Mathematics
N-species
Numerical analysis
Numerical analysis. Scientific computation
Permanence
Positive solution
Sciences and techniques of general use
With feedback controls
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Summary:A nonautonomous N-species discrete Lotka–Volterra competitive system of difference equations with delays and feedback controls is considered. New sufficient conditions are obtained for the permanence of this discrete system. The results indicate that one can choose suitable controls to make the species coexistence in the long run. Moreover, we give some examples to illustrate the feasibility of our result which can be well suited for computational purposes.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2006.10.084