Extinction and stability in a continuous competitive system with the effect of toxic substances
Author(s): YU Shengbin
Pages: 196-202
Year: 2016 Issue: 3
Journal: Journal of Yanbian University(Natural Science)
Keyword: continuous system; extinction; competitive; toxicology; stability;
Abstract: We consider the extinction and stability of a nonautonomous continuous competitive system with nonlinear inter-inhibition terms and one toxin-producing species.By constructing some suitable Lyapunov type extinction functions,sufficient conditions which guarantee the extinction of species and the stability property of another species are obtained.The results supplement the literature [1]and [8].The numerical simulations show that the results are reliable.
Pages: 196-202
Year: 2016 Issue: 3
Journal: Journal of Yanbian University(Natural Science)
Keyword: continuous system; extinction; competitive; toxicology; stability;
Abstract: We consider the extinction and stability of a nonautonomous continuous competitive system with nonlinear inter-inhibition terms and one toxin-producing species.By constructing some suitable Lyapunov type extinction functions,sufficient conditions which guarantee the extinction of species and the stability property of another species are obtained.The results supplement the literature [1]and [8].The numerical simulations show that the results are reliable.
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