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Survival of three species in a nonautonomous Lotka–Volterra system
Authors:Ta Viet Ton  
Affiliation:aFaculty of Mathematics, Mechanics and Informatics, Hanoi University of Science, Viet Nam
Abstract:
In Ahmad and Stamova (2004) [1], the author considers a competitive Lotka–Volterra system of three species with constant interaction coefficients. In this paper, we study a nonautonomous Lotka–Volterra model with one predator and two preys. The explorations involve the persistence, extinction and global asymptotic stability of a positive solution.
Keywords:Predator–  prey model   Survival   Extinction   Persistence   Asymptotic stability   Liapunov function
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