Optimal control problem for an ecosystem with two competing preys and one predator

DOI10.1016/j.jmaa.2014.10.093zbMath1305.49011OpenAlexW2051002055WikidataQ115570344 ScholiaQ115570344MaRDI QIDQ481951

Lei Zhang, Bin Liu

Publication date: 19 December 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.10.093

zbMATH Keywords

optimal controloptimality conditionsbang-bang controlBeddington-DeAngelis functional response

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Population dynamics (general) (92D25) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving partial differential equations (49J20) Pursuit and evasion games (49N75) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

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Cites Work

• Qualitative analysis of predator-prey models with Beddington-De Angelis functional response and diffusion
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• Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints
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• Coexistence states of a predator-prey system with non-monotonic functional response
• Optimal control of growth coefficient on a steady-state population model
• Optimal Control of a Nutrient-Phytoplankton-Zooplankton-Fish System
• Necessary Optimality Conditions for a Lotka-Volterra Three Species System
• Second-Order Necessary and Sufficient Optimality Conditions for Optimization Problems and Applications to Control Theory
• Global Dynamics of a Predator-Prey Model with Stage Structure for the Predator
• Chaos control and synchronization of a three-species food chain model via Holling functional response
• On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
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