Abstract
This paper presents a prey-predator type fishery model in two patch environment. We assume that one patch is accessible to both prey and predator while other is a refuge for prey. The prey refuge constitutes a reserve zone where fishing is not allowed. In the unreserved area there are both prey and predators and harvesting of only predators is permitted. The equilibria of the model and their stability are discussed. Also we investigate various possibilities of bionomic equilibrium. Finally, the model is simulated for varied set of parameters and sensitivity of the parameters and effect of the size of reserve on maximum yield are studied. We found that it is the best to keep the size of reserve small and increase the harvesting effort upto optimal harvesting effort to get the higher maximum yield.
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