Journal of Tropical Life Science : International Journal of Theoretical, Experimental, and Applied Life Sciences
Vol. 7 No. 3 (2017)

Dynamics of a Fractional Order Eco-Epidemiological Model

Kartika Nugraheni (Department of Mathematics, Brawijaya University)
Trisilowati Trisilowati (Department of Mathematics, Brawijaya University)
Agus Suryanto (Department of Mathematics, Brawijaya University)

Article Info

Publish Date
11 Sep 2017

Abstract

In this paper, we propose a fractional order eco-epidemiological model. We considere the existence of time memory in the growth rate of the three populations. We observed the dynamical behaviour by analysing with fractional order and then simulateing using Grünwald-Letnikov approximation to support analytical results. It found that the model has five equilibrium points, namely the origin, the survival of susceptible prey, the predator free equilibria, the infected prey free equilibria, the interior equilibria. Numerical simulations show that the existence of fractional order  is a factor which affects the behaviour of solutions. 

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Journal Info
Journal of Tropical Life Science : International Journal of Theoretical, Experimental, and Applied Life Sciences
Website

Abbrev

jtrolis

Publisher

Universitas Brawijaya

Subject

Agriculture, Biological Sciences & Forestry Environmental Science

Description

The Journal of Tropical Life Science (JTLS) provides publication of full-length papers, short communication and review articles describing of new finding or theory in living system, cells and molecular level in tropical life science and related areas. The journal publishes articles that report novel ...