Continuous versus pulse harvesting for population models in constant and variable environment

DOI10.1007/s00285-008-0169-zzbMath1143.92327OpenAlexW1991526273WikidataQ46485085 ScholiaQ46485085MaRDI QIDQ938205

Reneeta Mamdani, Elena Braverman

Publication date: 18 August 2008

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-008-0169-z

zbMATH Keywords

periodic solutionslogistic modelharvestingimpulsive equationby-catch mortalitymaximal sustainable yield

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Ordinary differential equations with impulses (34A37) Ecology (92D40)

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Cites Work

• Unnamed Item
• Chattering limit for a model of harvesting in a rapidly changing environment
• Optimal impulsive harvesting on non-autonomous Beverton-Holt difference equations
• On a discrete model of population dynamics with impulsive harvesting or recruitment
• Optimal harvesting policy for single population with periodic coefficients
• Optimal impulsive harvesting policy for single population
• Optimization problems for one-impulsive models from population dynamics
• Optimal pulse fishing policy in stage-structured models with birth pulses
• Harvesting in seasonal environments
• Optimal impulsive control in periodic ecosystem
• On linear perturbations of the Ricker model
• Optimal harvesting policies for periodic Gompertz systems
• One-dimensional linear and logistic harvesting models
• A Fast Poisson Solver of Arbitrary Order Accuracy in Rectangular Regions
• On Impulsive Beverton-Holt Difference Equations and their Applications
• OPTIMAL IMPULSIVE HARVESTING OF A SINGLE-SPECIES WITH GOMPERTZ LAW OF GROWTH
• Chaos and population disappearances in simple ecological models

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