An Application of a Delay CSOH Model on the Coconut Farm
Adirek Vajrapatkul1, Sanoe Koonprasert2, Sekson Sirisubtawee3
1Adirek Vajrapatkul, Ph.D. Student, Department of Mathematics, King Mongkut’s University of Technology North Bangkok Thailand.
2Sekson Sirisubtawee, Lecturer, Department of Mathematics, King Mongkut’s University of Technology North Bangkok Thailand.
3Sanoe Khoonprasert, Associate Professor, Department of Mathematics, King Mongkut’s University of Technology North Bangkok Thailand.
Manuscript received on 27 September 2019 | Revised Manuscript received on 09 November 2019 | Manuscript Published on 22 November 2019 | PP: 174-187 | Volume-8 Issue-6S3 September 2019 | Retrieval Number: F10290986S319/19©BEIESP | DOI: 10.35940/ijeat.F1029.0986S319
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: 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.
Keywords: Samut Songkhram, Thailand, Squirrels, Coconuts, Bran Owls, Squirrel Hunters, CSOH Model, Time Delay.
Scope of the Article: Cryptography and Applied Mathematics