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Zbl 1029.92026
Zhao, Jiandong; Chen, Wencheng
Global asymptotic stability of a periodic ecological model. (English)
[J] Appl. Math. Comput. 147, No.3, 881-892 (2004). ISSN 0096-3003

Summary: The periodic Lotka-Volterra model with $m$ predators and $n$ preys is considered. Under the assumption that the intrinsic growth rate of the prey species may be negative while the total intrinsic growth rate in a period is positive, sufficient conditions are obtained for existence and global asymptotic stability of the periodic solutions of this model.

MSC 2000:: *92D40 Ecology
34C25 Periodic solutions of ODE
92D25 Population dynamics
34D05 Asymptotic stability of ODE

Keywords: Lotka-Volterra system; Periodic solution; Global asymptotic stability

Cited in: Zbl 1121.92066 Zbl 1080.92059

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