TY - GEN
T1 - Model of predator-prey for interaction between agrotis segetum and Zea mays
AU - Maulana, Andi
AU - Aldila, Dipo
AU - Utama, Suarsih
AU - Safitri, Egi
N1 - Funding Information:
We thank to all reviewer for their constructive comments. This research is funded by Universitas Indonesia with PUT? research grant scheme, 2020 (ID Number: NKB-1016/UN2.RST/HKP.05.00/2020).
Publisher Copyright:
© 2020 American Institute of Physics Inc.. All rights reserved.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/11/16
Y1 - 2020/11/16
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85096711359&partnerID=8YFLogxK
U2 - 10.1063/5.0030422
DO - 10.1063/5.0030422
M3 - Conference contribution
AN - SCOPUS:85096711359
T3 - AIP Conference Proceedings
BT - International Conference on Science and Applied Science, ICSAS 2020
A2 - Purnama, Budi
A2 - Nugraha, Dewanta Arya
A2 - Anwar, Fuad
PB - American Institute of Physics Inc.
T2 - 2020 International Conference on Science and Applied Science, ICSAS 2020
Y2 - 7 July 2020
ER -