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Ecological complexity and feedback control in a prey-predator system with Holling type III functional response

Chakraborty, K (2016) Ecological complexity and feedback control in a prey-predator system with Holling type III functional response. Complexity, 21 (5). pp. 346-360.

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Abstract

This article deals with a bioeconomic model of prey–predator system with Holling type III functional response. The dynamical behavior of the system is extensively discussed. Continuous type gestational delay of predators is incorporated in the system to study delay induced instability. It is observed that the system undergoes singularity induced bifurcation at interior equilibrium point when net economic revenue of the system increases through zero. State feedback controller is designed to stabilize the system at positive economic profit. Time delay is considered as a bifurcation parameter to prove the occurrence of Hopf bifurcation phenomenon in the neighborhood of the coexisting equilibrium point. Finally, some numerical simulations are carried out to verify the analytical results and the system is analyzed through graphical illustrations

Item Type: Article
Additional Information: Copyright of this article belongs to Wiley
Uncontrolled Keywords: bioeconomic model;functional response;differential algebraic system;time delay;Hopf bifurcation
Subjects: Oceanography > oceanography
Depositing User: INCOIS Library
Date Deposited: 07 Jul 2016 05:39
Last Modified: 07 Jul 2016 05:39
URI: http://moeseprints.incois.gov.in/id/eprint/4075

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