A mathematical model of predator-prey interaction between seal-herring and steelhead trout

S. Triharyuni, Dipo Aldila

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

8 Citations (Scopus)

Abstract

A mathematical model of predator-prey interaction between Seal, Herring and Steelhead Trout will be introduced in this article. The population of Steelhead Trout is divided into two subpopulations according to their living ecosystem, i.e in freshwater and sea ecosystem. Therefore, the model will be developed as a four-dimensional system of differential equation. The migration of Steelhead Trout is assumed to take place all over the year as a constant parameter as well as the harvesting rate in Herring and Steelhead Trout population. Mathematical analysis of the equilibrium points and local stability criteria was done. Some numerical simulation to give an interpretation about the analytical results has been conducted. The result shown that harvesting steelhead trout in fresh water has a significant impact to the ecosystem. Having the periodic harvesting strategy on the steelhead trout allows the population to recover and to ensure the sustainable harvest.

Original languageEnglish
Title of host publicationInternational Symposium on Current Progress in Mathematics and Sciences 2016, ISCPMS 2016
Subtitle of host publicationProceedings of the 2nd International Symposium on Current Progress in Mathematics and Sciences 2016
EditorsKiki Ariyanti Sugeng, Djoko Triyono, Terry Mart
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735415362
DOIs
Publication statusPublished - 10 Jul 2017
Event2nd International Symposium on Current Progress in Mathematics and Sciences 2016, ISCPMS 2016 - Depok, Jawa Barat, Indonesia
Duration: 1 Nov 20162 Nov 2016

Publication series

NameAIP Conference Proceedings
Volume1862
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference2nd International Symposium on Current Progress in Mathematics and Sciences 2016, ISCPMS 2016
CountryIndonesia
CityDepok, Jawa Barat
Period1/11/162/11/16

Fingerprint Dive into the research topics of 'A mathematical model of predator-prey interaction between seal-herring and steelhead trout'. Together they form a unique fingerprint.

Cite this