A diffusive single-species model with periodic coefficients and its optimal harvesting policy

DOI10.1016/j.amc.2006.09.007zbMath1112.92058OpenAlexW2151343765MaRDI QIDQ883889

Ling Bai, Ke Wang

Publication date: 12 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.2006.09.007

zbMATH Keywords

variational calculusupper and lower solutionsreaction-diffusion modeloptimal harvest policy

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Ecology (92D40) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (7)

Optimal harvesting policy for the Beverton-Holt model ⋮ Optimal harvesting policies for a stochastic food-chain system with Markovian switching ⋮ Mathematical study of a resource-based diffusion model with Gilpin-Ayala growth and harvesting ⋮ Optimality for a diffusive predator-prey system in a spatially heterogeneous environment incorporating a prey refuge ⋮ Optimal harvesting of diffusive models in a nonhomogeneous environment elena braverman, leonid braverman ⋮ Optimal impulsive harvesting policies for single-species populations ⋮ Bifurcation and optimal harvesting of a diffusive predator-prey system with delays and interval biological parameters

Cites Work

• Gilpin--Ayala model with spatial diffusion and its optimal harvesting policy
• Optimal harvesting policy for single population with periodic coefficients
• Existence and stability of periodic quasisolutions in nonlinear parabolic systems with discrete delays
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