Optimal control strategies for a new ecosystem governed by reaction-diffusion equations

DOI10.1016/j.jmaa.2018.07.001zbMath1397.49033OpenAlexW2843318926WikidataQ129582225 ScholiaQ129582225MaRDI QIDQ1659297

Huili Xiang, Zhuang Fang, Bin Liu

Publication date: 15 August 2018

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.2018.07.001

zbMATH Keywords

reaction-diffusion equationssecond order necessary optimality conditionfirst order necessary optimality conditionpredator and prey populationssufficient local optimality condition

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Reaction-diffusion equations (35K57) Existence theories for optimal control problems involving partial differential equations (49J20) Pursuit and evasion games (49N75) Variational principles of physics (49S05) Animal behavior (92D50)

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Optimal control problem for a general reaction-diffusion eco-epidemiological model with disease in prey ⋮ Optimal control strategies for an ecological model including infection and competition ⋮ Optimal Control Problem for a Reaction-Diffusion System of Three Populations ⋮ Dynamics and optimal control of a spatial diffusion HIV/AIDS model with antiretrovial therapy and pre‐exposure prophylaxis treatments ⋮ An optimal treatment strategy for a leukemia immune model governed by reaction-diffusion equations ⋮ Spatiotemporal dynamics analysis and optimal control method for an SI reaction-diffusion propagation model ⋮ Spatial dynamics and optimization method for a network propagation model in a shifting environment ⋮ Optimal control of a diffusive eco-epidemiological predator–prey model ⋮ Feedback controls for desired dynamical behaviours of a new stochastic ecosystem with regime switching

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