Arlen Dwi Lestari, Agus Suryanto, Trisilowati
Lembah Palu red onion is one of the superior varieties developed in Lembah Palu area and is the main raw material for the production of Palu’s shallot chips with a high economic value. Caterpillar pests (Spodoptera exigua) and purple blotch are among the causes of the decline in Lembah Palu red onion production. In this study, a mathematical model that represents the interaction between red onion, caterpillar pests and purple blotch is developed. This model has five critical points, which are the extinction of entire population (E0), the extinction point of caterpillar pests and purple blotch (E1), the critical point of no onion with purple blotch (E2), the critical point of no caterpillar pests (E3) and the co-existence critical point (E4). If the first critical point E1 is stable, then E2 and E3 do not exist. The first and the fifth critical point is unstable and the other critical points are conditionally stable. To illustrate the analysis result, some numerical simulations are performed. © 2020 American Institute of Physics Inc.. All rights reserved.
Departement of Mathematics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, 65145, Indonesia
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