The present paper deals with a prey - predator model incorporating i) the predator is provided with an alternative food in addition to the prey, ii) the prey is harvested under optimal conditions. The model is characterized by a pair of first order non-linear 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. Finally, some numerical examples are discussed.
All Published work is licensed under a Creative Commons Attribution 4.0 International License
Copyright © 2019 All rights reserved. iMedPub LTD Last revised : August 18, 2019