Tropical Wetland Journal
Vol 3, No 2 (2017)

A MATHEMATIC MODEL OF TWO MUTUALLY INTERACTING SPECIES WITH MORTALITY RATE FOR THE SECOND SPECIES

Rahayu, Annisa (Unknown)
Yulida, Yuni (Unknown)
Faisal, Faisal (Unknown)



Article Info

Publish Date
06 Jul 2017

Abstract

One of the interactions that occur withinthe ecosystem is the interaction of mutualism. Such mutualism interactions can be modeled into mathematical models. Reddy (2011) study suggests a model of two mutually interactingspecies that assumes that each species can live without its mutualism partner. In fact, not all mutual species survive without their mutualism pairs. If it is assumed that the second species lives without its mutualism partner, the firstspecies, then the natural growth rate of the second species population will decrease (the mortality rate). The purpose of this research is to explain the model of two mutually interacting species with mortality rate for the second species, to determine the equilibrium point and the type of stability, and to simulate them with several parameters. This research was done by way of literature studies. The result of this research is the model of two mutually interacting species with mortality rate for second species modeled using Nonlinear Differential Equation System. In the model, it was obtained 3 (three) points of equilibrium, with each type and type of stability investigated. Next up from the stability, model simulations were done. Based on several simulationsconducted can be seen the value of parameters and initial values affect the population growth of both species. The interaction model of two mutual species will be stable if the first species survive and the second species over time will beextinct.

Copyrights © 2017






Journal Info

Abbrev

twj

Publisher

Subject

Agriculture, Biological Sciences & Forestry Chemical Engineering, Chemistry & Bioengineering Education Medicine & Pharmacology Other

Description

The journal will accept any manuscripts related to tropical wetland issues. The articles in this journal may from dissertations, theses, research reports, scientific papers and articles reviews. This journal is published in every 2 (twice) in a year (July and ...