@inproceedings{abad5a9c534e4957ad6d08bc11e53184,

title = "Dynamical analysis in predator-prey-scavenger model with harvesting intervention on prey population",

abstract = "This study deals with the interaction between predator, prey, and scavenger. In our model, we assume that the prey population grows following a logistic model with predation from predator and scavenger. Harvesting intervention included in the prey population to understand scenarios where the prey has competitive effects upon the other species. The analytical result began with a non-dimensionalization process to the original model, which successfully reduced the number of parameters of the model. Equilibrium points were shown analytically. Local stability of the fixed point was analyzed using a respected Jacobian matrix of each fixed point. The sensitivity an alysis of the model regarding the harvesting rate was conducted numerically. We find that whenever the harvesting in the prey population becomes uncontrolled (above the upper bound), then the predator and scavenger population will die out together with the prey population. We also find that the time scale separation from the non-dimensionalization process does not change the stability criteria of the fixed point.",

keywords = "Harvesting, Local Stability, Predator-Prey-Scavenger Model",

author = "Dumbela, {Putri A.} and Dipo Aldila",

note = "Funding Information: We thank all reviewers for their valuable comments. This research is funded by Universitas Indonesia with QQ research project (ID:NKB-0268/UN2.R3.1/HKP.05.00/2019). Publisher Copyright: {\textcopyright} 2019 Author(s).; 8th SEAMS-UGM International Conference on Mathematics and Its Applications 2019: Deepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations ; Conference date: 29-07-2019 Through 01-08-2019",

year = "2019",

month = dec,

day = "19",

doi = "10.1063/1.5139151",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Herni Utami and Kusumo, {Fajar Adi} and Nanang Susyanto and Yeni Susanti",

booktitle = "Proceedings of the 8th SEAMS-UGM International Conference on Mathematics and Its Applications 2019",

}