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View all- Çelik C(2019)Stability and Hopf Bifurcation in a delayed ratio dependent Holling-Tanner type modelApplied Mathematics and Computation10.1016/j.amc.2014.11.086255:C(228-237)Online publication date: 2-Jan-2019
Persistence in nonautonomous predator-prey systems with infinite delays
Authors: 
Zhidong Teng and Mehbuba RehimAuthors Info & Claims
Zhidong Teng and Mehbuba RehimAuthors Info & ClaimsPages 302 - 321
Abstract
This paper studies the general nonautonomous predator-prey Lotka-Volterra systems with infinite delays. The sufficient and necessary conditions of integrable form on the permanence and persistence of species are established. A very interesting and important property of two-species predator-prey systems is discovered, that is, the permanence of species and the existence of a persistent solution are each other equivalent. Particularly, for the periodic system with delays, applying these results, the sufficient and necessary conditions on the permanence and the existence of positive periodic solutions are obtained. Some well-known results on the nondelayed periodic predator-prey Lotka-Volterra systems are strongly improved and extended to the delayed case.
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- Persistence in nonautonomous predator-prey systems with infinite delays
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Published: 15 December 2006
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View all- Çelik C(2019)Stability and Hopf Bifurcation in a delayed ratio dependent Holling-Tanner type modelApplied Mathematics and Computation10.1016/j.amc.2014.11.086255:C(228-237)Online publication date: 2-Jan-2019
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