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Hariyanto Hariyanto
Department of Mathematics, Institut Teknologi Sepuluh Nopember
Computer Science & IT Education Mathematics

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Stability Analysis On Models Of Spreading H1N1 And H5N1 Virus In Two Locations Silviana Maya P; Hariyanto Hariyanto; Mahmud Yunus
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol 2, No 2 (2016)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (318.18 KB) | DOI: 10.12962/j24775401.v2i2.1582

Abstract

The dynamics of population mobility are occurring in a population. This phenomena can expand the area of the spread of a virus. Allowing the occurrence of a pandemic of a coalition between the H5N1-p virus and H5N1. In this paper, we analyze the stability of the model of the spread of H1N1 and H5N1-p. Based on the basic reproduction number R0, which is then simulated using the Matlab software, we conclude that when R0 < 1 the system is stable, whereas when R0 > 1 the system is unstable.
Persistence Analysis on Pre-coalition Models of H1N1-p with H5N1 virus in L 2 Space Hariyanto Hariyanto; Mahmud Yunus; Gusti Yuni Shinta Lestari
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol 2, No 2 (2016)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (471.706 KB) | DOI: 10.12962/j24775401.v2i2.1583

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.
Co-Authors Gusti Yuni Shinta Lestari Mahmud Yunus Silviana Maya P Yunus, Mahmud