Optimal control strategies for a new ecosystem governed by reaction-diffusion equations
type: Item
instance of: scholarly article
title: Optimal control strategies for a new ecosystem governed by reaction-diffusion equations
zbMATH Open document ID: 1397.49033
author: Huili Xiang
author: Bin Liu
author: Zhuang Fang
published in: Journal of Mathematical Analysis and Applications
publication date: 2018-08-15T00:00:00Z
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49N75
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 49S05
Mathematics Subject Classification ID: 92D50
zbMATH DE Number: 6918450
zbMATH Keywords: first order necessary optimality condition
zbMATH Keywords: second order necessary optimality condition
zbMATH Keywords: sufficient local optimality condition
zbMATH Keywords: reaction-diffusion equations
zbMATH Keywords: predator and prey populations
MaRDI profile type: Publication
full work available at URL: j.jmaa.2018.07.001
OpenAlex ID: W2843318926
cites work: Existence of solutions and optimal control for a model of tissue invasion by solid tumours
cites work: An optimal control problem for a pest, predator, and plant system
cites work: On a prey-predator reaction-diffusion system with Holling type III functional response
cites work: An optimal control problem for a two-prey and one-predator model with diffusion
cites work: Q4315878
cites work: Pontryagin's principle for the control of parabolic equations with gradient state constraints
cites work: Second-Order Necessary and Sufficient Optimality Conditions for Optimization Problems and Applications to Control Theory
cites work: Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints
cites work: Optimal control of growth coefficient on a steady-state population model
cites work: Optimal control of a competitive system with age-structure
cites work: Optimal harvesting in an age-structured predator-prey model
cites work: Optimal Control of a Nutrient-Phytoplankton-Zooplankton-Fish System
cites work: A Primal-Dual Active Set Strategy for Optimal Boundary Control of a Nonlinear Reaction-Diffusion System
cites work: Q4797015
cites work: Harvesting control in an integrodifference population model with concave growth term
cites work: Optimal control of the chemotherapy of HIV
cites work: Optimal control for a standard CPR model
cites work: Optimal control for degenerate parabolic equations with logistic growth
cites work: Q5601627
cites work: Optimal control for an age-dependent competitive species model in a polluted environment
cites work: Optimal control for age-dependent population hybrid system in a polluted environment
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints
cites work: Q4807623
cites work: Optimal control of gypsy moth populations
cites work: Global existence and uniqueness of positive solutions and optimal control for a novel model of pest control
cites work: Optimal control problem for an ecosystem with two competing preys and one predator
cites work: Q4828519
Wikidata QID: Q129582225
DOI: 10.1016/J.JMAA.2018.07.001
description: scientific article; zbMATH DE number 6918450