Extinction in periodic competitive stage-structured Lotka-Volterra model with the effects of toxic substances

Authors:
Zhong Li;Fengde Chen
Affiliations:
College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, PR China;College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

In this paper, we consider a periodic competitive stage-structured Lotka-Volterra model with the effects of toxic substances. It is shown that toxic substances play an important role in the extinction of species. We obtain a set of sufficient conditions which guarantee that one of the components is driven to extinction while the other is globally attractive. The numerical simulation of an example verifies our main results.