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Journal : Buletin Poltanesa

Mathematical Model of Basal Stem Rot (BSR) Disease Spread in Oil Palm Plants Zahroni, Teguh Rizali; Fahrizal, Fahrizal
Poltanesa Vol 25 No 1 (2024): June 2024
Publisher : P3KM Politeknik Pertanian Negeri Samarinda

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51967/tanesa.v25i1.3003

Abstract

This study discusses the stability analysis of mathematical models for the spread of Basar Stem Rot(BSR) in oil palm plants. In developing this mathematical model, several assumptions are taken to obtain a model that is suitable for the spread of BSR disease. The resulting model is a system of first-order nonlinear differential equations with three variables. This research includes both analytical and numerical analysis. Analytical analysis includes determination of equilibrium points and local stability analysis, while numerical analysis is conducted using Microsoft Excel application. From this study, two equilibrium points were found with stability conditions that depend on the fulfillment of certain conditions. One important result obtained is that the equilibrium point will be locally stable if and only if α > μ and b > √D, where D is the discriminant of a quadratic equation. After analyzing analytically, the study continued with numerical simulations to illustrate and test the analytical results. Numerical results in the form of graphs show that the solution of the system is stable, which indicates that the disease will be endemic under certain conditions and time. This research provides a deeper understanding of the dynamics of the spread of BSR and the conditions that affect the stability of the spread of the disease. With this analysis, it is expected to contribute to efforts to control BSR disease in oil palm plants. In addition, this research also opens opportunities for the development of similar mathematical models for other plant diseases.
Co-Authors - Afrizal Abd. Rajab Abubakar, Yusya' ADIL, AHMAD Adila Solida Ais, Ais Akhir, Muh. Akhmad, Muh. Nur Ilham Akramunnas, Bastul Wajhi Amanatillah, Dara Amirzan, Amirzan Ananda, Aulia Anshar Patria Anwar, Rusli Arba', Muhammad Arkanul Ardiyansyah Ardiyansyah Arfi, Angger Arfiana, BS Monica Arga, Arga Arief Rahman Asde Rahmawati Asmawati Asmawati Asri A Astaman, Muhammad Ramadhan Astuti, Tri Anna Rindi Atok, Laurensius Kristo Awaludin, Lambang Rizki Perwira Aziza, Humairo Badar, Muhammad Badaru, Benny Bianome, Wofrid Erlista Burhanuddin, Sudirman Delyana R. Pulungan Dian Hasni, Dian Dila Marta Putri Dina Arfianti Saragih Djailani, Irfan Dofiruddin, Dofiruddin Edy Suprapto Gumelar, Ray Prama Gunawan, Moh. Rizky Hakim, Al Matin hasyim, hasyim Hasyim, Muhammad Qasash Heru Prono Widayat, Heru Prono Hudain, Muh. Adnan Husna, Fazilatul Ihsan, Andi Indah Lestari Indah Lestari, Indah Iqbal Iqbal Irfan Maulana, Irfan Ishak Bachtiar Jamaluddin Jamaluddin Juhanis, Juhanis Julianti, Ulfah K, Basri Kamaruddin, Ilham Legisnal Hakim Lelanovita Sardianti, Andi Lengo, Edwinurius Berlinus Lisna Lisna, Lisna Liu, Mikhael Dendy Robertus Lutfiany, Aurelia M Ikhsan M Imran Hasanuddin M. Adam Mappaompo M. Basri . Manesi, Damianus Marlendi, Sri Marpaung, Ozi Rizal Marta Putri, Dita Marwah Marwah Mau, Sealtial Mirasari, Rossy Mnune, Edwin Deriston Muhamad Yazid Bustomi Muhammad Ishak Muhammad Nur Mulyadi Mulyadi Muslem Muslem, Muslem Najib, Zaki Abdullah Nashirah, Arini Ngapiyatun, Sri Nilda, Cut Normalina Arpi Nur, Nirmawati Nurhidayat, Budi Obeth, Ernita Palupi, Pratiwi Jati Pandhu Rochman Suosa, Pandhu Rochman Prasetia, Retno Pratama, Muhamad Doddy Pratiwi, Wike Priyono . Priyono Priyono Purba, Nova Solina Purbawati, Purbawati Purnama Putra, Dicko Syah Puspita Puspita Putra, M. Ilham Nur Putri, Baluqia Iskandar Putri, Vinka Adelina Rahmi, Lisa Ramadhan, Fauzan Ramli Ramli Rasyidah Jalil Rerung, Charmila Tandi Rina Maharany Ritna Wahyuni saefurohman, Asep saefurohman Saksana, Gusti Sabda Sardianti, Andi Lelanovita Saridanti, Andi Lelanovita Septiyeni, Tesya Uldira Siti Nurjanah Sufitriyono, Sufitriyono Sukardi, Sulham Sukariyan, Sukariyan Sumarjo, Sumarjo Sungkawa, Muhammad Guntur Gaos Suryana, Nina Suryawahyuni Latief Susanto, Yohanes Karoberd Yugi Suwardi Suwardi Syamsuddin, Muh. Syachrul Syamsul Hadi Syatiri, Muhammad Tamariska, Tisa Tifany Zia Aznur Triansyah, Angga Uly, Arfin Utami, Maria Wahyudin Wahyudin Wajhi Akramunnas, Basthul Wajhi Akramunnas, Bastul Wijaya, Indra Sukma Winarni, Budi Yasriuddin, Yasriuddin Yoan Purbolingga Yuliani Aisyah Yuni Safitri, Wiwit Yusriana Yusriana, Yusriana Zachreini, Indra Zahroni, Teguh Rizali