Open AccessDynamics and optimal Harvesting strategy for biological models with Beverton –Holt growth
Author(s) -
Oday Kassim Shalsh,
Sadiq Al-Nassir
Publication year - 2020
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 4
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2020.si.1.30
Subject(s) - pontryagin's minimum principle , maximum principle , mathematical optimization , stability (learning theory) , mathematics , optimal control , computer science , mathematical economics , machine learning
In this work, the dynamic behavior of discrete models is analyzed with Beverton- Holt function growth . All equilibria are found . The existence and local stability are investigated of all its equilibria.. The optimal harvest strategy is done for the system by using Pontryagin’s maximum principle to solve the optimality problem. Finally numerical simulations are used to solve the optimality problem and to enhance the results of mathematical analysis