Rangkiang Mathematics Journal
Vol. 1 No. 2 (2022): Rangkiang Mathematics Journal

Mathematical Model of Effect of Yellow Virus on Tomato Plants Through Bemisia tabaci Insects Using Verticillium lecanii Fungus

Nada Atifah (Universitas Negeri Padang)
Dewi Murni (Universitas Negeri Padang)
Rara Sandhy Winanda (Universitas Negeri Padang)



Article Info

Publish Date
16 Nov 2022

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.

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Journal Info

Abbrev

RMJ

Publisher

Subject

Mathematics Other

Description

Rangkiang Mathematics Journal (RMJ) is a prestigious vision journal which focuses on publishing research, and advance literature study in mathematics and mathematics education. The scope of this journal includes: mathematics teacher profesionalisme, Realistic Mathematics Education, ...