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2014 On the Dynamics of a Nonautonomous Predator-Prey Model with Hassell-Varley Type Functional Response
Yan Zhang, Shujing Gao, Kuangang Fan
Abstr. Appl. Anal. 2014(SI53): 1-12 (2014). DOI: 10.1155/2014/864678

Abstract

The dynamic behaviors of a nonautonomous system for migratory birds with Hassell-Varley type functional response and the saturation incidence rate are studied. Under quite weak assumptions, some sufficient conditions are obtained for the permanence and extinction of the disease. Moreover, the global attractivity of the model is discussed by constructing a Lyapunov function. Numerical simulations which support our theoretical analysis are also given.

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Yan Zhang. Shujing Gao. Kuangang Fan. "On the Dynamics of a Nonautonomous Predator-Prey Model with Hassell-Varley Type Functional Response." Abstr. Appl. Anal. 2014 (SI53) 1 - 12, 2014. https://doi.org/10.1155/2014/864678

Information

Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07023219
MathSciNet: MR3275753
Digital Object Identifier: 10.1155/2014/864678

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI53 • 2014
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