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Journal : Rangkiang Mathematics Journal

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.
Application of the Additive Ratio Assessment (ARAS) Method in Selecting Superior Tourism in the Pasaman District Region Afrianti, Yusita; Rara Sandhy Winanda
Rangkiang Mathematics Journal Vol. 3 No. 1 (2024): Rangkiang Mathematics Journal
Publisher : Department of Mathematics, Universitas Negeri Padang (UNP)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/rmj.v3i1.52

Abstract

Pasaman Regency has tourism potential, which has not been managed optimally as a whole. Relevant institutions can make improvements to each tourist attraction so that the tourist attractions have the same advantages, so that visitors' interest and interest in visiting each tourist attraction is equal in the future, and regional original income (PAD) will increase from the tourism sector. This research aims to apply the Additive Ratio Assessment (ARAS) Method to select superior tourism in the Pasaman Regency area. The ARAS method will rank tourist attractions in Pasaman Regency based on predetermined criteria. Based on the results of research using the ARAS method, it was found that the most superior tourism attraction was the Ambun Waterpark tourist attraction (A5) with the highest Ki value, namely 0.90231, and the last rank with the lowest Ki value, namely 0.67877, was Taluak Ambun Waterfall (A6).