International Journal of Computing Science and Applied Mathematics
Vol 2, No 2 (2016)

Persistence Analysis on Pre-coalition Models of H1N1-p with H5N1 virus in L 2 Space

Hariyanto Hariyanto (Department of Mathematics, Institut Teknologi Sepuluh Nopember)
Mahmud Yunus (Department of Mathematics, Institut Teknologi Sepuluh Nopember)
Gusti Yuni Shinta Lestari (Department of Mathematics, Institut Teknologi Sepuluh Nopember)



Article Info

Publish Date
10 Jun 2016

Abstract

Influenza virus, H1N1-p and H5N1, are dangerous viruses. Medium of virus transmissions is the interaction or contact between individuals. The virus transmission to other individuals is easy. This happens due to a new strain that occurs as a result of pre-coalition between the two viruses. That phenomena is formulated in the form of a pre-coalition model of the virus. From the original pre-coalition model, a reduction process is done such that the models can be analyzed easily. Furthermore, the reduced pre-coalition model will be analyzed (i.e. existence and uniqueness of solutions), so that the system of equations is said to be well-posed. Persistence analysis result shows that in an unstable condition, H1N1-p influenza virus is “strongly uniformly persistence” over the system under the assumption that the H5N1 influenza virus is in a steady state. A similar result is also true for the H5N1 influenza virus. The H5N1 virus is more pathogenic than the H1N1-P-p. This is indicated by the value of epsilon0 in H5N1 virus is smaller than in H1N1-p virus, where epsilon0 shows the distance of interactions between individuals.

Copyrights © 2016






Journal Info

Abbrev

ijcsam

Publisher

Subject

Computer Science & IT Education Mathematics

Description

(IJCSAM) International Journal of Computing Science and Applied Mathematics is an open access journal publishing advanced results in the fields of computations, science and applied mathematics, as mentioned explicitly in the scope of the journal. The journal is geared towards dissemination of ...