A STAGE-STRUCTURED MATHEMATICAL MODEL FOR FISH STOCK WITH HARVESTING

作者：Al-Darabsah, Isam^*; Yuan, Yuan

来源：SIAM Journal on Applied Mathematics, 2018, 78(1): 145-170.

DOI：10.1137/16M1097092

• modeling
• stage structure
• persistence
• stability
• fish stock
• harvesting

In this paper, we propose a mathematical model for a single species fish stock with a three-stage structure: Juveniles, small adults, and large adults with two harvesting strategies for mature classes, maturity, and size selectivities. The purpose of the work is to investigate the dynamical behavior of the model and discuss the effect of harvesting. We identify the adult reproduction number RA for the model; obtain the local and global stability of the trivial equilibrium when R-A < 1; and discuss the population persistence and existence of a unique positive equilibrium when R-A > 1. Numerical simulations are provided to investigate the influence of harvesting functions, discuss the optimal harvesting rates, and explore the effect of periodic coefficients on the dynamical system.

• 出版日期2018