Overtaking optimal control problem of age-dependent populations with infinite horizon

DOI10.1016/0022-247X(90)90194-KzbMath0707.92017OpenAlexW2138742499MaRDI QIDQ920052

Elsie Sterbin Gottlieb

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0022-247x(90)90194-k

zbMATH Keywords

Pontryagin's maximum principleoptimal boundary controlturnpike propertyovertaking optimalityoptimal birth controlage-dependent population modelbilinear boundary control of a distributed systemextremal steady statefinite horizon optimal control problemfirst order linear partial differential equationunbounded time interval

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Population dynamics (general) (92D25) Optimality conditions (49K99)

Related Items (8)

Optimal birth control of age-dependent competitive species. III. Overtaking problem ⋮ Problem of optimal control for a semilinear hyperbolic system of equations of the first order with infinite horizon planning ⋮ Overtaking optimal control problem for an age-dependent competition system of \(n\) species ⋮ OVERTAKING OPTIMAL HARVESTING FOR AN AGE-DEPENDENT n-DIMENSIONAL FOOD CHAIN MODEL ⋮ Optimal immigration age-patterns in populations of fixed size ⋮ Optimal birth control of age-dependent competitive species. II: Free horizon problems ⋮ Optimal birth control of free horizon problems for predator-prey system with age-structure ⋮ Optimal control of free horizon problems for an age-dependent \(n\)-dimensional food chain model

Cites Work

• Optimal birth control of population dynamics
• Pontryagin's principle for control problems in age-dependent population dynamics
• Optimal birth control of population dynamics. II: Problems with free final time, phase constraints, and mini-max costs
• Existence of Overtaking Solutions to Infinite Dimensional Control Problems on Unbounded Time Intervals

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