Optimal harvesting of a stochastic delay competitive model. (English) Zbl 1365.34140
Summary: In this paper an \(n\)-species stochastic delay competitive model with harvesting is proposed. Some dynamical properties of the model are considered. We first establish sufficient conditions for persistence in the mean of the species. Then asymptotic stability in distribution of the harvesting model is studied. Next the optimal harvesting effort and the maximum harvesting yield are given by using the ergodic approach. Finally the analytical results are illustrated through simulation figures using MATLAB followed by discussions and conclusions.
MSC:
| 34K60 | Qualitative investigation and simulation of models involving functional-differential equations |
| 60H10 | Stochastic ordinary differential equations (aspects of stochastic analysis) |
| 60J27 | Continuous-time Markov processes on discrete state spaces |
| 34K50 | Stochastic functional-differential equations |
| 34K25 | Asymptotic theory of functional-differential equations |
| 92D25 | Population dynamics (general) |
| 34K20 | Stability theory of functional-differential equations |
Software:
MatlabReferences:
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