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Periodic Solutions and Global Asymptotic Stability of a Delayed Discrete Predator-Prey System with Holling II Type Functional Response
Coincidence degree discrete predator-prey system global asymptotic stability positive periodic solutions
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2007/8/7
In this paper, we study the existence and global asymptotic stability of positive periodic solutions of a delayed periodic predator-prey system with Holling II type functional response. By use of the ...
THE THRESHOLD OF SURVIVAL FOR PREDATOR-PREY VOLTERRA SYSTEM OF THREE SPECIES IN A POLLUTED ENVIRONMENT
Population persistenceextinction toxican
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2007/8/7
The effects of toxicants on two kinds of Volterra systems have been studied.One is a community consisting of two competitive predators and one prey; another,one predator and two competitive preys. The...
PERSISTENCE IN A THREE SPECIES LOTKA-VOLTERRA PERIODIC PREDATOR-PREY SYSTEM
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2007/8/7
In this paper we consider the Predator-Prey model for three species in which the right-hand sides are periodic in time. A set of easily verifiable sufficient conditions is obtained for the existence o...
LOCAL AND GLOBAL BIFURCATIONS AND APPLICATIONS IN A PREDATOR-PREY SYSTEM WITH SEVERAL PARAMETERS
Bifurcation of equilibria Hopf bifurcat
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2007/8/7
A predator-prey system, depending on several parameters, is investigated forbifurcation of equilibria, Hopf bifurcation, global bifurcation occurring saddle connection, and global existence and nonexi...