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

Authors:
Xinyuan Liao;Zigen Ouyang;Shengfan Zhou
Affiliations:
School of Mathematics and Physics, Nanhua University, Hengyang, Hunan 421001, PR China and Department of Mathematics, Shanghai University, Shanghai 200444, PR China;School of Mathematics and Physics, Nanhua University, Hengyang, Hunan 421001, PR China;Mathematics and Science College, Shanghai Normal University, Shanghai 200234, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

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Abstract

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.