Permanence for nonautonomous Lotka–Volterra cooperative systems with delays

In this paper, we consider a class of nonautonomous two species Lotka–Volterra cooperative population systems with time delays, and establish sufficient conditions which ensure the system to be permanent. We improve and extend the known condition of the permanence in [G. Lu and Z. Lu, Permanence for...

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Bibliographic Details
Published in:Nonlinear analysis: real world applications 2010-02, Vol.11 (1), p.528-534
Main Authors: Nakata, Yukihiko, Muroya, Yoshiaki
Format: Article
Language:English
Subjects:
Constrictions
Delay
Lotka-Volterra equations
Lotka–Volterra cooperative system
Nonautonomous
Nonlinearity
Permanence
Predator-prey simulation
Time delay
Time delays
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Summary:In this paper, we consider a class of nonautonomous two species Lotka–Volterra cooperative population systems with time delays, and establish sufficient conditions which ensure the system to be permanent. We improve and extend the known condition of the permanence in [G. Lu and Z. Lu, Permanence for two species Lotka–Volterra cooperative systems with delays, Math. Biosci. Eng. 5 (2008) 477–484] to nonautonomous two-species Lotka–Volterra cooperative systems. Moreover, our conditions need no restriction on the size of time delays.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2009.01.002