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A ratio-dependent predator–prey model with stage structure and optimal harvesting policy

✍ Scribed by Liming Cai; Xuezhi Li; Jingyuan Yu; Guangtian Zhu

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
194 KB
Volume
31
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper, a ratio‐dependent predator–prey model with stage structure and harvesting is investigated. Mathematical analyses of the model equations with regard to boundedness of solutions, nature of equilibria, permanence and stability are performed. By constructing appropriate Lyapunov functions, a set of easily verifiable sufficient conditions are obtained for the global asymptotic stability of nonnegative equilibria of the model. The existence possibilities of bioeconomic equilibria have been examined. An optimal harvesting policy is also given by using Pontryagin's maximal principle. Copyright © 2007 John Wiley & Sons, Ltd.

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