Open AccessAn Application of a Delay CSOH Model on the Coconut Farm
Author(s) -
Adirek Vajrapatkul,
Sekson Sirisubtawee,
Sanoe Khoonprasert
Publication year - 2019
Publication title -
international journal of engineering and advanced technology
Language(s) - English
Resource type - Journals
ISSN - 2249-8958
DOI - 10.35940/ijeat.f1029.0986s319
Subject(s) - equilibrium point , hopf bifurcation , mathematics , stability (learning theory) , population , value (mathematics) , point (geometry) , bifurcation , mathematical economics , statistics , computer science , physics , nonlinear system , mathematical analysis , demography , geometry , machine learning , sociology , differential equation , quantum mechanics
In this paper, we introduce the mathematical model that represents the quantity and population dynamics on the coconut farm. The model encompasses the number of coconuts and population of squirrels, barn owls, and squirrel hunters. We study the fundamental properties of the model that include positivity, boundedness, and equilibrium points. We also investigate the effect of the time delay on the stability of the equilibrium points. The results of the analysis show that when the time delay reaches its critical value, the interior equilibrium point lost its stability, and there occurs the Hopf bifurcation.