Model of predator-prey for interaction between agrotis segetum and Zea mays

Andi Maulana, Dipo Aldila, Suarsih Utama, Egi Safitri

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this study, a predator-prey model constructed to describe the interaction between Agrotis segetum as predator and Zea mays as prey, when Agrotis segetum infected with a disease. Agrotis segetum granulovirus which sprayed on the Zea mays makes Agrotis segetum get infected. In the end, the infected Agrotis segetum will die within six to twelve days. A four-dimensional mathematical model of ordinary nonlinear differential equations is formed by dividing the population into susceptible and infected predator (Agrotis segetum) population, susceptible and infected prey (Zea mays) population. The infection process is modelled with the Holling Type II response function. Local stability for the extinction and coexistence of equilibrium points is analyzed using the linearization method with the Jacobian matrix. From the model, there are three equilibrium points, all of them are stable with conditions. Numerical simulations are given to show how the disease in Agrotis segetum can influence the final size of Zea mays.

Original languageEnglish
Title of host publicationInternational Conference on Science and Applied Science, ICSAS 2020
EditorsBudi Purnama, Dewanta Arya Nugraha, Fuad Anwar
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735440302
DOIs
Publication statusPublished - 16 Nov 2020
Event2020 International Conference on Science and Applied Science, ICSAS 2020 - Surakarta, Indonesia
Duration: 7 Jul 2020 → …

Publication series

NameAIP Conference Proceedings
Volume2296
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference2020 International Conference on Science and Applied Science, ICSAS 2020
Country/TerritoryIndonesia
CitySurakarta
Period7/07/20 → …

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