Stability of a Time-varying Fishing Model with Delay

2006/01/19 by Leonid Berezansky, Berezansky, L., Lev Idels +1
Mathematics · Medicine · #34A37 #34D #34K20 #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models

paper · pdf · doi:10.48550/arxiv.math/0601459

openalex publication_date 2006/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a delay nonlinear differential equation model which describes how fish are harvested. In our previous studies we investigated the persistence of that equation and existence of a periodic solution for this equation. Here we study the stability (local and global) of the periodic solutions of that equation.

Related

• Population Models With Delay in Dynamic Environment
• Nonautonomous Food-Limited Fishery Model With Adaptive Harvesting
• Estimates for solutions in a predator-prey model describing plankton-fish interaction
• Bifurcation and periodic solutions to population models with two dependent delays
• A pulse fishery model with closures as function of the catch: Conditions\n for sustainability