A predator-prey model for the optimal control of fish harvesting through the imposition of a tax

• Published in: An international journal of optimization and control Vol. 13; no. 1; pp. 68 - 80
• Main Authors: Chatterjee, Anal, Pal, Samares
• Format: Journal Article
• Language: English
• Published: Balikesir Balikesir University, Faculty of Engineering Department of Industrial Engineering 01.01.2023
• Subjects: Age groups; Biomass; Commercial fishing; Control theory; Ecosystems; Equations of state; Equilibrium; Fish; Fisheries; Fisheries management; Fishing; Food chains; Hopf bifurcation; Mathematical models; Maximum principle; Optimal control; Predator-prey simulation; Predators; Taxation

This paper is devoted to the study of ecosystem based fisheries management. The model represents the interaction between prey and predator population with Holling II functional response consisting of different carrying capacities and constant intrinsic growth rates. We have considered the continuous...