Epidermiological Approch to Predator-Prey Interaction

Authors

  • Faridah Mustapha
  • Michael Grinfeld

DOI:

https://doi.org/10.11113/matematika.v18.n.497

Abstract

An epidemiological approch is used to model predator-prey interaction. The concept is borrowed from SIS model of disease transmission. In the predator-prey interaction, predation is viewed as a "disease" of the predator transmitted by the prey. In this approch, the predator population is partitioned into hungry and satisfied subpopulation. The stability of the steady states from the equations is analyzed. Keywords: Predator-prey interaction; Model SIS Pendekatan penyakit berjangkit digunakan untuk memodelkan intearksi mangsa-pemangsa. Konsep ini dipinjam daripada Model SIS jangkitan penyakit. Dalam interaksi mangsa-pemangsa, pemangsa dianggap sebagai "penyakit" pemangsa yang dijangkiti daripada mangsa. Pendekatan ini membahagikan populasi pemangsa kepada subpopulasi lapar dan kenyang. Kestabilan titik-titik kesimbangan daripada persamaan dianalisa. Katakunci: Intearksi mangsa-pemangsa; Model SIS

Downloads

Published

01-06-2002

Issue

Volume 18 (June 2002)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Epidermiological Approch to Predator-Prey Interaction . (2002). MATEMATIKA, 18, 1-8. https://doi.org/10.11113/matematika.v18.n.497