Optimal control of a prey-predator system
From MaRDI portal
Publication:1214360
DOI10.1016/0025-5564(74)90043-1zbMath0297.92013OpenAlexW1980011349WikidataQ114204210 ScholiaQ114204210MaRDI QIDQ1214360
Bean San Goh, Thomas L. Vincent, George Leitmann
Publication date: 1974
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0025-5564(74)90043-1
Population dynamics (general) (92D25) Model systems in control theory (93C99) Numerical methods in optimal control (49M99)
Related Items (47)
Optimal design of robust control for positive fuzzy dynamic systems with one-sided control constraint ⋮ Optimal harvesting policy of a stochastic food chain population model ⋮ Fuzzy output tracking control of semi-linear first-order hyperbolic PDE systems with matched perturbations ⋮ Comparison principle, positive invariance and constrained regulation of nonlinear systems ⋮ The economics of harvesting predator-prey systems ⋮ A NEW APPROACH TO PEST MANAGEMENT PROBLEM ⋮ Second order analysis of control-affine problems with scalar state constraint ⋮ Design of distributed \(H_\infty\) fuzzy controllers with constraint for nonlinear hyperbolic PDE systems ⋮ Verification theory and approximate optimal harvesting strategy for a stochastic competitive ecosystem subject to Lévy noise ⋮ Stability and optimal exploitation over an infinite time horizon of interacting populations ⋮ Managing the tragedy of commons and polluting emissions: a unified view ⋮ Stabilizing a mathematical model of population system ⋮ Analysis of a predator-prey model for exploited fish populations with schooling behavior ⋮ A more realistic approach to pest-management problem ⋮ Well-posedness of the shooting algorithm for control-affine problems with a scalar state constraint ⋮ Irreversible prey diapause as an optimal strategy of a physiologically extended Lotka-Volterra model ⋮ Control barrier functionals: Safety‐critical control for time delay systems ⋮ Optimal strategies for water quality control ⋮ Pest management of two non-interacting pests in presence of common predator ⋮ Bioeconomic modelling of a three-species fishery with switching effect. ⋮ Control of the speed of response of predator-prey systems ⋮ ROLE OF HARVESTING IN CONTROLLING CHAOTIC DYNAMICS IN THE PREDATOR–PREY MODEL WITH DISEASE IN THE PREDATOR ⋮ Complexity analysis and computation of the optimal harvesting for one-species population resources ⋮ Order of events matter: comparing discrete models for optimal control of species augmentation ⋮ Avoidance control mechanics for food-chain models subject to uncertainties ⋮ Predator-prey interaction with harvesting: mathematical study with biological ramifications ⋮ Optimization in microbial pest control: An integrated approach ⋮ Dynamic optimization in animal feeding strategies, with application to African weaver birds ⋮ On an eco-epidemiological model with prey harvesting and predator switching: local and global perspectives ⋮ Optimal control in some cancer chemotherapy problems ⋮ Optimal control of age-dependent populations ⋮ On the control of stochastic prey-predator models ⋮ Mathematical models for the control of pests and infectious diseases: A survey ⋮ Direct and inverse regulation control in transformation systems ⋮ On the attainment of the maximum sustainable yield in the Verhulst-Lotka-Volterra model ⋮ Management of food-chain systems via Liapunov design control ⋮ Graphical stability, enrichment, and pest control by a natural enemy ⋮ Linear age-dependent population growth with harvesting ⋮ On harvesting two competing populations ⋮ Bionomic exploitation of a ratio-dependent predator–prey system ⋮ Harvesting as a disease control measure in an eco-epidemiological system -- a theoretical study ⋮ Dynamics of eco-epidemiological model with harvesting ⋮ Optimization problems related to water quality control in aquatic ecosystems ⋮ Convex-concave utility function: Optimal blood-consumption for vampires ⋮ A prey–predator model approach to increase the production of crops: Mathematical modeling and qualitative analysis ⋮ Optimal harvesting policy for a stochastic predator-prey model ⋮ Optimal management of replenishable resources in a predator-prey system with randomly fluctuating population
Cites Work
This page was built for publication: Optimal control of a prey-predator system
