Dynamical analysis in predator-prey-scavenger model with harvesting intervention on prey population

Putri A. Dumbela, Dipo Aldila

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

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.

Original languageEnglish
Title of host publicationProceedings of the 8th SEAMS-UGM International Conference on Mathematics and Its Applications 2019
Subtitle of host publicationDeepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations
EditorsHerni Utami, Fajar Adi Kusumo, Nanang Susyanto, Yeni Susanti
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735419438
DOIs
Publication statusPublished - 19 Dec 2019
Event8th SEAMS-UGM International Conference on Mathematics and Its Applications 2019: Deepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations - Yogyakarta, Indonesia
Duration: 29 Jul 20191 Aug 2019

Publication series

NameAIP Conference Proceedings
Volume2192
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference8th SEAMS-UGM International Conference on Mathematics and Its Applications 2019: Deepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations
Country/TerritoryIndonesia
CityYogyakarta
Period29/07/191/08/19

Keywords

  • Harvesting
  • Local Stability
  • Predator-Prey-Scavenger Model

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