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All Journal International Journal of Computing Science and Applied Mathematics-IJCSAM
Hariyanto Hariyanto
Institut Teknologi Sepuluh Nopember
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 : LPPM Institut Teknologi Sepuluh Nopember

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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.
Safety Verification of SEITR Epidemic Model on Recombination HIV and Hepatitis B Virus using Taylor Model Asmudik Asmudik; Dieky Adzkiya; Mardlijah Mardlijah; Hariyanto Hariyanto
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 7 No. 1 (2021)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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Human Immunodeficiency Virus (HIV) is an AIDS (Acquired Immuno Deficiency Syndrome) virus that attacks the immune system for which there is no cure. When the immune system has decreased, it is prone to diseases such as Hepatitis B disease. To reduce the error value of the number of subpopulations, we use an interval approximation. One of the simulation calculations that the number of variables initially intervals is Taylor model. Taylor's model can be used to verify that the number of people infected with HIV and Hepatitis B will not exceed the specified number of unsafe sets. To calculate the set of states that are reached by the system over a certain period of time, given the initial conditions and parameters. The initial condition is divided into three scenarios, an affordable set of states, safety verification can be done. As a result of the safety verification of the three scenarios provided there is no set of states that are not safe, so the results of all three scenarios are safe.
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 : LPPM Institut Teknologi Sepuluh Nopember

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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 Asmudik Asmudik Dieky Adzkiya Gusti Yuni Shinta Lestari Mardlijah - Silviana Maya P Yunus, Mahmud