Optimal harvesting problem for an age-dependent \(n\)-dimensional food chain diffusion model

DOI10.1016/j.amc.2006.08.168zbMath1111.92061OpenAlexW2060376085MaRDI QIDQ884651

Zhi-Xue Luo

Publication date: 6 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.168

zbMATH Keywords

diffusionoptimal controlmaximum principleage-dependence

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Ecology (92D40) Existence theories for optimal control problems involving partial differential equations (49J20)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal harvesting control problem for an age-dependent competing system of \(n\) species
• On the optimal harvesting of persistent age-structured populations
• On the optimal harvesting of age-structured populations: Some simple models
• Optimal harvesting of an age-structured population
• Optimal control of parameter distributed systems with impulses
• Local exact controllability of the age-dependent population dynamics with diffusion

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