Development of Compartmental Mathematical Model of Disease Transmission of Basal Stem Rot in Oil Palm Plantation
Halina Hanim Mustafa1, Nor Azah Samat2, Zulkifley Mohamed3, Faizah Abu Kassim4
1Halina Hanim Mustafa, Department of Mathematics, Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris, Tanjong Malim, Perak, Malaysia.
2Nor Azah Samat*, Department of Mathematics, Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris, Tanjong Malim, Perak, Malaysia.
3Zulkifley Mohamed, Department of Mathematics, Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris, Tanjong Malim, Perak, Malaysia.
4Faizah Abu Kassim, Department of Agricultural Science, Faculty of Technical and Vocational Education, Universiti Pendidikan Sultan Idris, Tanjong Malim, Perak, Malaysia.
Manuscript received on March 15, 2020. | Revised Manuscript received on March 27, 2020. | Manuscript published on April 10, 2020. | PP: 191-194 | Volume-9 Issue-6, April 2020. | Retrieval Number: F3493049620/2020©BEIESP | DOI: 10.35940/ijitee.F3493.049620
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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: OThe mathematical modelling is one of the major research areas for mathematician and biologist in understanding the dynamics of transmissible infections. There might also be a mathematical model used to research the dynamics of plant disease and estimate the number of cases of outbreaks. In this research, we developed the compartmental mathematical model of the dynamical spread of transmission of plant disease with reference to basal stem rot (BSR) disease in oil palm plantation. The dynamics of the BSR disease were studied by a prone-contagious-sustained (PCS) compartmental mathematical model involving ordinary differential equations for three classes of hosts; prone, contagious and sustained. The equilibrium points and epidemic threshold conditions were analytically determined and numerical simulations were analyzed to support analytical results. From the numerical results, the solutions converge to each equilibrium state and PCS model simulation indicated that BSR disease has not become endemic. In particular, the threshold parameters that summarize the dynamics of the system will help to choose strategies for crop protection.
Keywords: Compartmental Mathematical Model, Basal Stem Rot Disease, Prone-Contagious-Sustained, Disease Transmission and Threshold Parameters
Scope of the Article: Energy Harvesting and Wireless Power Transmission