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A prey-predator model with an alternative food for the predator and optimal harvesting of the predator

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Title: A prey-predator model with an alternative food for the predator and optimal harvesting of the predator

Authors: K. Madhusudhan Reddy, K. Lakshmi Narayan

Journal: ARPN Journal of Engineering and Applied Sciences

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
X 2020-07-01 2021-06-30

Publisher: Khyber Medical College, Peshawar

Country: Pakistan

Year: 2012

Volume: 7

Issue: 8

Language: English

Categories
Predator-Prey Models (9) Mathematical Modeling (150) Population Dynamics (65) Ecology (10266) Harvesting (11)

Abstract

The present paper deals with a prey - predator model comprising an alternative food for the predator in addition to the prey, and the predator is harvested under optimal conditions. The model is characterized by a pair of first order non-linear ordinary differential equations. All the four equilibrium points of the model are identified and the criteria for the stability are discussed. The possibility of existence of bioeconomic equilibrium is discussed. The optimal harvest policy is studied with the help of Pontryagin’s maximum principle [17]. Finally, some numerical examples are discussed.

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