Proceedings of the International Joint Conference on Science and Engineering 2021 (IJCSE 2021)

The Dynamics of Modified Leslie-Gower the Pest-Predator System with Additional Food and Fear Effect

Authors
Dian Savitri1, *, Abadi2, Manuharawati3, Muhammad Jakfar4
1,2,3,4Departement of Mathematics, Universitas Negeri Surabaya, Surabaya, Indonesia
*Corresponding author. Email: diansavitri@unesa.ac.id
Corresponding Author
Dian Savitri
Available Online 16 December 2021.
DOI
https://doi.org/10.2991/aer.k.211215.088How to use a DOI?
Keywords
Dynamics; Pest-predator; Stability; Bifurcation
Abstract

We have studied a dynamic analysis of the prey-predator model that describes the interaction between pests and predators as natural enemies. The model is considering a Modified Leslie-Gower prey-predator model with the nature of fear of the growth of pests and additional food to predator. The predation uses the Holling type II response function by assuming that the predator also needs additional food to survive. We analyze the dynamics of the system includes determining the equilibrium point as well as local stability analysis. It shows that there are four equilibriums in which each equilibrium point exists and three equilibrium points are local asymptotically stable with some sufficient conditions. Numerical simulations were carried out to support the analytical finding. The numerical simulations also indicate that bifurcation occurs and the possible phase portraits diagram has been depicted. The simulation results and discussion of the diagram bifurcation are lucidly presented in the text of the paper.

Copyright
© 2021 The Authors. Published by Atlantis Press International B.V.
Open Access
This is an open access article under the CC BY-NC license.

Download article (PDF)

Volume Title
Proceedings of the International Joint Conference on Science and Engineering 2021 (IJCSE 2021)
Series
Advances in Engineering Research
Publication Date
16 December 2021
ISBN
978-94-6239-486-5
ISSN
2352-5401
DOI
https://doi.org/10.2991/aer.k.211215.088How to use a DOI?
Copyright
© 2021 The Authors. Published by Atlantis Press International B.V.
Open Access
This is an open access article under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Dian Savitri
AU  - Abadi
AU  - Manuharawati
AU  - Muhammad Jakfar
PY  - 2021
DA  - 2021/12/16
TI  - The Dynamics of Modified Leslie-Gower the Pest-Predator System with Additional Food and Fear Effect
BT  - Proceedings of the International Joint Conference on Science and Engineering 2021 (IJCSE 2021)
PB  - Atlantis Press
SP  - 519
EP  - 525
SN  - 2352-5401
UR  - https://doi.org/10.2991/aer.k.211215.088
DO  - https://doi.org/10.2991/aer.k.211215.088
ID  - Savitri2021
ER  -