Harvesting of a Prey-Predator Fishery Based on Holling Type II Functional Response System

Author:

Wu Ting1

Affiliation:

1. Minjiang University

Abstract

This paper explores a reasonable ratio-dependent prey-predator system with Holling type II. By applying the Pontryagin's maximal principle, the optimal tax policy is investigated. A simulation is carried out in the end.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Reference7 articles.

1. A. A. Berryman, The origins and evolution of predator-prey theory, Ecology 75 1530-1535(1992).

2. T. Wu, Permanence for nonautonomous Lotka-Volterra tow species cooperatative systems, Bulletin of Science and Technology, 743-746, 25(6) (2009), in Chinese.

3. T. Wu, Permanence and Global Stability of a Discrete Competition Feedback-control System with Beddington-DeAngelis Functional Response, Journal of Minjiang University, (natural science edition), 31(2) 16-20(2010), in Chinese.

4. T. Wu, Permanence of Discrete Predator-prey System with infinite delay Beddington-DeAngelis functional response, Journal of Minjiang University, (natural science edition), 1-5, 31(5) (2010), in Chinese.

5. L. S. Chen, Mathematical Models and Methods in Ecology, Sichuan Science and Technology Press, 2002, in Chinese.

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