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The present paper deals with a prey-predator model with prey refugeproportion to both species and independent harvesting of each species. Ourstudy shows that using refuge as control, it can break the limit circle of thesystem and reach the required state of equilibrium level. It is established theoptimal harvesting policy. The boundedness, feasibility of interior equilibria,bionomic equilibrium have been determined. The main observation is thatcoefficient of refuge plays an important role in regulating the dynamics of thepresent system. Moreover the variation of the coefficient of refuge change thesystem from stable to unstable and vice-versa. Some numerical illustration aregiven in order to support of our analytical and theoretical findings.

Dynamics of a harvested prey-predator model with prey refuge depended on both species