Biology, Medicine, & Natural Product Chemistry
Vol 5, No 1 (2016)

Local Stability Analysis of a Mathematical Model of the Interaction of Two Populations of Differential Equations (Host-Parasitoid)

Anggreini, Dewi (Unknown)



Article Info

Publish Date
15 Apr 2016

Abstract

Mathematical model has many benefits in life, especially the development of science and application to other fields. The mathematical model seeks to represent real-life problems formulated mathematically to get the right solution. This research is the application of mathematical models in the field of biology that examines the interaction of the two populations that host populations and parasitoid populations. This study differs from previous studies that examine the interaction of two more species that prey and predators where predators kill prey quickly. In this study the parasitoid population slowly killing the host population by living aboard and take food from the host population it occupies. In this study of differential equations are used to construct a mathematical model was particularly focused on the stability of the local mathematical model of interaction of two differential equations that host and parasitoid populations. Stability discussed in this study are stable equilibrium points are obtained from the characteristic equation systems of differential equations host and parasitoid interactions. Type the stability of the equilibrium point is determined on the eigenvalues of the Jacobian matrix. Analysis of stability is obtained by determining the eigenvalues of the Jacobian matrix around equilibrium points. Having obtained the stable equilibrium points are then given in the form of charts and portraits simulation phase to determine the behavior of the system in the future.

Copyrights © 2016






Journal Info

Abbrev

BIOMEDICH

Publisher

Subject

Biochemistry, Genetics & Molecular Biology Medicine & Pharmacology Public Health

Description

BIOLOGY, MEDICINE, & NATURAL PRODUCT CHEMISTRY, this journal is published to attract and disseminate innovative and expert findings in the fields of plant, animal, and microorganism secondary metabolite, and also the effect of natural product on biological system as a reference source for ...