An optimal control problem for a prey-predator system with a general functional response

DOI10.1016/j.aml.2009.01.016zbMath1179.49023OpenAlexW2033490423WikidataQ115598037 ScholiaQ115598037MaRDI QIDQ845636

Narcisia C. Apreutesei

Publication date: 29 January 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.01.016

zbMATH Keywords

functional responsebang-bang controllogistic growthprey-predator systemswitching time

Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (13)

HJB-INEQUALITIES IN ESTIMATING REACHABLE SETS OF A CONTROL SYSTEM UNDER UNCERTAINTY ⋮ A hybrid optimization problem at characteristic times and its application in agroecological system ⋮ Ellipsoidal Estimates of Reachable Sets for Nonlinear Control Systems with Bilinear Uncertainty ⋮ Analysis and constrained optimal impulsive control of a Holling-II type trophic system with two sources ⋮ Stability and optimal control for some classes of tritrophic systems ⋮ A spatiotemporal prey-predator discrete model and optimal controls for environmental sustainability in the multifishing areas of Morocco ⋮ Control Problems for Set-Valued Motions of Systems with Uncertainty and Nonlinearity ⋮ Optimal control problem for an ecosystem with two competing preys and one predator ⋮ Estimation of Star-Shaped Reachable Sets of Nonlinear Control Systems ⋮ An optimal control problem for a two-prey and one-predator model with diffusion ⋮ Optimal speed of response in the Lotka-Volterra controlled system ⋮ A symplectic pseudospectral method for constrained time-delayed optimal control problems and its application to biological control problems ⋮ State-constrained optimal control problems governed by coupled nonlinear wave equations with memory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mathematical biology. Vol. 1: An introduction.
• Construction of the reachability set of the Lotka-Volterra system
• A mathematical analysis of the effects of control strategies on the transmission dynamics of malaria
• Mathematical Models in Population Biology and Epidemiology
• Necessary Optimality Conditions for a Lotka-Volterra Three Species System
• Patient-dependent effects in disease control: a mathematical model

This page was built for publication: An optimal control problem for a prey-predator system with a general functional response