Prey-predator interaction model between herring and seals with phocine distemper virus (PDV) infection in seals

A. Putri, Dipo Aldila

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

4 Citations (Scopus)

Abstract

Prey-predator Interaction Model between herring and harbor seal is introduced in this study. Phocine Distemper Virus (PDV) that attacks the seals and catching the herring were included in the model. The model was built as a system of ordinary differential equations consisting of three-dimensional consist of herring, healthy seals and infected seals populations. The models derived from five equilibrium points among is trivial, equilibrium point without the presence of seals, namely the equilibrium point without the presence of the disease, that is the equilibrium point with the presence of the disease, and that is the equilibrium point coexistence. From the analytical results of the study obtained positive terms and conditions of the stability of each equilibrium. Numerical simulation supports multiple analytic studies also demonstrated in this paper.

Original languageEnglish
Title of host publicationProceedings of the 3rd International Symposium on Current Progress in Mathematics and Sciences 2017, ISCPMS 2017
EditorsRatna Yuniati, Terry Mart, Ivandini T. Anggraningrum, Djoko Triyono, Kiki A. Sugeng
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735417410
DOIs
Publication statusPublished - 22 Oct 2018
Event3rd International Symposium on Current Progress in Mathematics and Sciences 2017, ISCPMS 2017 - Bali, Indonesia
Duration: 26 Jul 201727 Jul 2017

Publication series

NameAIP Conference Proceedings
Volume2023
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference3rd International Symposium on Current Progress in Mathematics and Sciences 2017, ISCPMS 2017
CountryIndonesia
CityBali
Period26/07/1727/07/17

Keywords

  • Phocine Distemper Virus (PDV)
  • Prey-predator Interaction Model

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