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Two Types of Prey–Predator Models With Harvesting: Optimal Control and Optimal Harvesting Policy

S. Vijaya, J. Jayamal Singh, E. Rekha


This article presents a three species model from which one predator species another two prey species in competition with harvesting model. We analyze the positively, boundedness of the system of equations. We have derived bionomic phenomena of optimal harvesting policy with optimal equilibrium point and the optimal harvesting effort E1;E2: Also, we have derived bionomic phenomena of optimal control policy with optimal equilibrium point and the optimal harvesting effort E. The analytical and numerical solutions are analyzed and proposed.


Prey–predator model; Optimal control; Optimal harvesting effort; Lyapunov stability.

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