NDLI: Global stability analysis and optimal taxation control for a harvested prey predator system with prey refuge

Content Provider	IEEE Xplore Digital Library
Author	Chao Liu Jingmei Guo
Copyright Year	2014
Description	Author affiliation: Inst. of Syst. Sci., Northeastern Univ., Shenyang, China (Chao Liu) \|\| Inst. of Syst. Eng., Northeastern Univ., Shenyang, China (Jingmei Guo)
Abstract	In this paper, we investigate a prey predator model system with selective harvest effort on predator, where prey refuge is considered and taxation is utilized as a control instrument to protect the population from overexploitation. Conditions which influence positiveness and boundedness of solutions of model system are studied. Local stability analysis around all equilibria of model system are discussed due to variation of prey refuge and taxation. Furthermore, global stability of model system around the positive equilibrium is investigated based on Bendixson criterion. By using Pontryagin's maximum principle, an optimal taxation control is derived to ensure the sustainable development of biological resource and prosperous commercial harvesting.
Starting Page	4483
Ending Page	4486
File Size	178275
Page Count	4
File Format	PDF
ISBN	9781479937073
e-ISBN	9781479937080
DOI	10.1109/CCDC.2014.6852971
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-05-31
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	harvest effort optimal taxation control Biological system modeling Sociology prey refuge Stability analysis Predator prey systems Mathematical model Modeling Equations
Content Type	Text
Resource Type	Article

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