The Dynamics of Modified Leslie-Gower the Pest-Predator System with Additional Food and Fear Effect
- https://doi.org/10.2991/aer.k.211215.088How to use a DOI?
- Dynamics; Pest-predator; Stability; Bifurcation
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.
- © 2021 The Authors. Published by Atlantis Press International B.V.
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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 -