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All Journal AdMathEdu : Jurnal Ilmiah Pendidikan Matematika, Ilmu Matematika dan Matematika Terapan Jurnal Sains Matematika dan Statistika BAREKENG: Jurnal Ilmu Matematika dan Terapan Eksakta : Berkala Ilmiah Bidang MIPA Pelita Eksakta Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika KUBIK: Jurnal Publikasi Ilmiah Matematika Journal of Mathematics UNP Rangkiang Mathematics Journal
Rara Sandhy Winanda
Department Of Mathematics, Faculty Of Mathematics And Natural Science, Universitas Negeri Padang, Padang, Indonesia
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Journal : Rangkiang Mathematics Journal

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Mathematical Model of Effect of Yellow Virus on Tomato Plants Through Bemisia tabaci Insects Using Verticillium lecanii Fungus Nada Atifah; Dewi Murni; Rara Sandhy Winanda
Rangkiang Mathematics Journal Vol. 1 No. 2 (2022): Rangkiang Mathematics Journal
Publisher : Department of Mathematics, Universitas Negeri Padang (UNP)

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (580.361 KB) | DOI: 10.24036/rmj.v1i2.14

Abstract

The Yellow virus is a virus that causes tomato plants to die. The insect vector Bemisia tabaci spreads this virus. The goal of this study is to identify the shape of a mathematical model of the influence of yellow virus on tomato plants via the insect Bemisia tabaci and the fungus Verticilliun lecanii, as well as to interpret the results of the mathematical model analysis. This is referred to as basic research. This study employs a descriptive method in which theories are analysed in relation to the topics to be discussed, and these theories are based on a literature review. Stability analysis is carried out using Routh-Hurwitz criteria. It indicates that the disease-free equilibrium point is asymptotically stable when Λt=μtN and the endemic equilibrium point is asymptotically stable for d1>e1, d2>e2 and a1>(a1)2+(a3)2a0)/(a3a2 ). The model simulation shows that if the efficacy of Verticillium lecanii is high, the population of infected tomato plants, as well as the population of Bemisia tabaci, will go extinct.
Co-Authors Akira Mikail Alivia Tasya Kemala Ariana Putri Bella Oktavia Defri Ahmad Defri Ahmad Devni Prima Sari Dewi Murni Dina Agustina Dina Fakhriyana Fanessa Elrika Defitri Melia Catur Anggraini Muhammad Rashif Hilmi Nada Atifah Purwadi, Joko Rahmawati Rida Purnama Sari Sovia Helmi Putri Tiara Vania