Optimal harvesting for a stochastic logistic model with S-type distributed time delay

Abstract

In this paper, the optimization problem of harvesting for a stochastic logistic model with S-type distributed time delay (which contains both discrete time delay and continuously distributed time delay) is studied by using ergodic method.

Keywords:

• Optimal harvesting
• stochastic perturbation
• ergodic method
• time delay

AMS Subject Classifications:

• 60H30
• 60H10
• 92D25

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

The work is supported by National Natural Science Foundation of China [grant number 11171374]; Natural Science Foundation of Shandong Province [grant number ZR2011AZ001].