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Zbl 1060.34039
Huo, Haifeng; Li, Wantong
Periodic solutions of delayed Leslie-Gower predator-prey models.
(English)
[J] Appl. Math. Comput. 155, No. 3, 591-605 (2004). ISSN 0096-3003

Authors' abstract: With the help of continuation theorem based on Gaines and Mawhin's conincidence degree, sufficient and realistic conditions are obtained for the global existence of positive periodic solutions for both the first and the second Leslie-Gower predator-prey models with distributed or state dependent delay. In the reviewer's opinion, a relevant reference is [{\it Q. Liu} and {\it H. Zhou}, JIPAM, J. Inequal. Pure Appl. Math. 4, No. 5, Paper No. 89 (2003; Zbl 1069.34063)] where coincidence degree is used to prove existence and global attractivity of periodic solutions in an $n$-species food chain system with time delays.
[E. Ahmed (Mansoura)]
MSC 2000:
*34K13 Periodic solutions of functional differential equations
92D25 Population dynamics

Keywords: Coincidence degree; Leslie-Gower predator-prey models; Positive periodic solutions

Citations: Zbl 1069.34063

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