OPTIMAL IMPULSIVE HARVESTING OF A SINGLE-SPECIES WITH GOMPERTZ LAW OF GROWTH

DOI10.1142/S0218339006001829zbMath1109.92062MaRDI QIDQ5483877

Zhilong Xiu, Yu-Juan Zhang, Lan-Sun Chen

Publication date: 23 August 2006

Published in: Journal of Biological Systems (Search for Journal in Brave)

zbMATH Keywords

global attractivityGompertz lawmaximum sustainable yieldimpulsive harvest

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (6)

An impulsive fishery model with environmental stochasticity. Feasibility ⋮ Optimal harvesting policy of a stochastic two-species competitive model with Lévy noise in a polluted environment ⋮ Optimal harvesting of diffusive models in a nonhomogeneous environment elena braverman, leonid braverman ⋮ A pulse fishery model with closures as function of the catch: conditions for sustainability ⋮ Continuous versus pulse harvesting for population models in constant and variable environment ⋮ Optimal harvesting for a single-species population governed by Gompertz law: Influence of environmental fluctuation and limited harvesting capacity

Cites Work

• Unnamed Item
• Selective harvesting in a prey-predator fishery with time delay
• Optimal harvesting of stochastically fluctuating populations
• Analysis of logistic growth models
• The dynamics of an infectious disease in a population with birth pulses
• Optimal impulsive harvesting policy for single population
• A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment
• Optimization problems for one-impulsive models from population dynamics
• Optimization problems in population dynamics
• Extinction and permanence of a two-prey one-predator system with impulsive effect
• A RESOURCE DEPENDENT FISHERY MODEL WITH OPTIMAL HARVESTING POLICY
• Optimal harvesting and stability for two-species competitive system with stage structure

This page was built for publication: OPTIMAL IMPULSIVE HARVESTING OF A SINGLE-SPECIES WITH GOMPERTZ LAW OF GROWTH