Stochastic optimal control of predator-prey ecosystem by using stochastic maximum principle

DOI10.1007/S11071-016-2752-YzbMath1355.93212OpenAlexW2323165259WikidataQ115603209 ScholiaQ115603209MaRDI QIDQ347331

Mohammad Hasan, M. Dambrine

Publication date: 30 November 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-016-2752-y

zbMATH Keywords

optimal controlstochastic maximum principleLotka-Volterra modelstochastic averaging

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Optimal stochastic control (93E20) Ordinary differential equations and systems with randomness (34F05)

Related Items (4)

Dynamics and response reshaping of nonlinear predator-prey system undergoing random abrupt disturbances ⋮ Stochastic optimal and time-optimal control studies for additional food provided prey-predator systems involving Holling type III functional response ⋮ Optimal harvesting and complex dynamics in a delayed eco-epidemiological model with weak Allee effects ⋮ Global asymptotic regulation control for MIMO mechanical systems with unknown model parameters and disturbances

Cites Work

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• Bifurcation, invariant curve and hybrid control in a discrete-time predator-prey system
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• Sustainable ecosystem management using optimal control theory. II: Stochastic systems
• On the relation between ordinary and stochastic differential equations
• Optimality Conditions for the Average Cost per Unit Time Problem with a Diffusion Model
• Stationary Response of Lotka—Volterra System with Real Noises

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