Optimal Harvesting Policies for a Stochastic Food-Chain System with Markovian Switching

الملخص EN

An optimal harvestingproblem for a stochastic food-chain system with Markovian switching is investigated in this paper.

Firstly,the existence, uniqueness, and positivity of the food-chainsystem’s solution are proved.

Secondly, persistent in mean of thesystem is obtained.

Then the optimal harvesting policy isdiscussed.

Finally, the main results areillustrated by several examples.