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Journal of Environmental Accounting and Management 8(2) (2019) 233--238 | DOI:10.5890/JAND.2019.06.006

M. M. Share Pasand

Department of Electrical and Electronics, Faculty of Electrical, Mechanical and Civil Engineering, Standard Research Institute, Alborz, 31745-139, Iran

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Abstract

Dynamics of population density of species in a trophic food chain with n distinguished members are investigated. A nonlinear feedback harvesting law is proposed to stabilize the coexistence equilibrium point of the system. A method is also proposed to derive the feedback parameters. The proposed dynamical model captures predation, competition, logistic growth and carrying capacity phenomena. An interesting real-world example is included to show the counter-intuitive behavior of the studied system and the effectiveness of the proposed harvesting method.

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