Optimal birth control of age-dependent competitive species

DOI10.1016/J.JMAA.2004.04.052zbMath1075.92045OpenAlexW2163266067MaRDI QIDQ1876747

Ze-Rong He

Publication date: 20 August 2004

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.2004.04.052

zbMATH Keywords

optimal controlmaximum principlenecessary optimality conditionsinfinite horizon problemwell-posednessage-dependenceconstrained end point problemfree terminal problem

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Applications of optimal control and differential games (49N90) Population dynamics (general) (92D25) Ecology (92D40)

Related Items (17)

Optimal birth control of age-dependent competitive species. III. Overtaking problem ⋮ Optimal boundary control problems for a hierarchical age-structured two-species model ⋮ An optimal birth control problem for a dynamical population model with size-structure ⋮ Overtaking optimal control problem for an age-dependent competition system of \(n\) species ⋮ On the optimal harvesting of size-structured population dynamics ⋮ Global positive periodic solutions of age-dependent competing systems ⋮ OVERTAKING OPTIMAL HARVESTING FOR AN AGE-DEPENDENT n-DIMENSIONAL FOOD CHAIN MODEL ⋮ OPTIMAL CONTROL FOR A NONLINEAR n-DIMENSIONAL COMPETING SYSTEM WITH AGE-STRUCTURE ⋮ 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 ⋮ Control problems of an age-dependent predator-prey system ⋮ GLOBAL DYNAMICS OF NONLINEAR TWO-STAGED AGE-DEPENDENT POPULATIONS ⋮ Optimal contraception control for a nonlinear population model with size structure and a separable mortality ⋮ Optimal control of free horizon problems for an age-dependent \(n\)-dimensional food chain model ⋮ Double control problems of age-distributed population dynamics ⋮ Threshold dynamics and optimal control on an age-structured SIRS epidemic model with vaccination ⋮ Near-optimal control for a stochastic multi-strain epidemic model with age structure and Markovian switching

Cites Work

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• Optimal birth control of population dynamics
• On the control of certain interacting populations
• On the controllability of predator-prey systems
• Optimal control of populations of competing species
• Optimal birth control of population dynamics. II: Problems with free final time, phase constraints, and mini-max costs
• Lectures on mathematical theory of extremum problems. Translated from the Russian by D. Louvish

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