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A Prey-Predator Model with Marine Reserve

Uttam Das

Abstract



In this paper, I describe a prey-predator type fishery model with prey dispersal in a two-patch environment, one of which is a free fishing zone and other is a protected zone. The existence of possible steady states, along with their local stability and global stability, is discussed. I then examine the possibilities of the existence of bionomic equilibrium. An optimal harvesting policy is also discussed using Pontryagin’s maximum principle.

Keywords


Prey-predator, Fishery resource, Marine reserve, Optimal control.

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