Open Conference Systems, MISEIC 2019

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Predator Prey Model Analysis for Interaction Between Agrotis segetum and Zea mays
Andi Maulana, Dipo Aldila

Last modified: 2019-07-10

Abstract


In this article, a predator prey model is constructed to describe the interactions between Agrotis segetum as a predator and Zea mays as a prey with disease infection in Agrotis segetum. Agrotis segetum is infected with Agrotis segetum granulovirus which is sprayed on the Zea mays. The virus makes Agrotis segetum get an infection. At the end, the infected Agrotis segetum will die within six to twelve days. A four dimensional mathematical model of ordinary nonlinear differential equations formed by dividing the population into susceptible and infected predator (Agrotis segetum) populations, susceptible and infected prey (Zea mays) populations. The infection process is modeled with the Holling Type II response function. Local stability for the extinction and coexistence equilibrium points are analyze using the linearization method with the Jacobian matrix. From the model, there are three equilibrium points with all equilibrium points are stable with conditions. Numerical simulations are given to show how disease factors in the prey population can influence predator and prey interactions. The main purpose of this article is to study the biologically system dynamics around the equilibrium points.


Keywords


botulism, holling type II, Agrotis segetum, Zea mays, Agrotis segetum granulovirus, predator-prey.