Impulsive harvesting and by-catch mortality for the theta logistic model

DOI10.1016/j.amc.2011.04.031zbMath1215.92070OpenAlexW1967898595MaRDI QIDQ548028

Tingting Zhao, Sanyi Tang

Publication date: 27 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.031

zbMATH Keywords

periodic solutionimpulsive harvestingmaximum sustainable yieldby-catch moralitytheta logistic model

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76) Ecology (92D40) Periodic solutions of difference equations (39A23)

Related Items

Dynamics of a periodic impulsive switched predator-prey system with hibernation and birth pulse ⋮ An impulsive fishery model with environmental stochasticity. Feasibility ⋮ Dynamics of a periodic switched predator-prey system with hibernation, birth pulse and impulsive harvesting ⋮ Periodic solution of a neutral delay Leslie predator-prey model and the effect of random perturbation on the Smith growth model ⋮ Persistence of nonautonomous logistic system with time-varying delays and impulsive perturbations ⋮ A pulse fishery model with closures as function of the catch: conditions for sustainability ⋮ Optimal impulsive harvesting policies for single-species populations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiple attractors in stage-structured population models with birth pulses
• Chattering limit for a model of harvesting in a rapidly changing environment
• Periodic solutions to nonautonomous difference equations
• Optimal impulsive harvesting on non-autonomous Beverton-Holt difference equations
• Continuous versus pulse harvesting for population models in constant and variable environment
• Optimal harvesting policy for single population with periodic coefficients
• Density-dependent birth rate, birth pulses and their population dynamic consequences
• Optimal impulsive harvesting policy for single population
• The effect of seasonal harvesting on stage-structured population models
• Optimization problems for one-impulsive models from population dynamics
• Harvesting in seasonal environments
• Optimal impulsive control in periodic ecosystem
• Perturbation theorems for systems with impulse effect
• On Impulsive Beverton-Holt Difference Equations and their Applications
• Global Models of Growth and Competition