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

DOI

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.

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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  - 10.2991/aer.k.211215.088
ID  - Savitri2021
ER  -