# MSEICR Fractional Order Mathematical Model of The Spread Hepatitis B

## Authors

• Suriani Suriani Universitas Hasanuddin
• Syamsuddin Toaha Universitas hasanuddin
• Kasbawati Kasbawati Universitas hasanuddin

## Keywords:

Hepatitis B, Fractional orde MSEICR model, Stability analysis

## Abstract

This research aims to develop the MSEICR model by reviewing fractional orders on the spread of Hepatitis B by administering vaccinations and treatment, and analyzing fractional effects by numerical simulations of the MSEICR mathematical model using the method Grunwald Letnikov. Researchers use qualitative methods to achieve the object of research. The steps are to determine the MSEICR model by reviewing the fractional order, looking for endemic equilibrium points for each non-endemic and endemic equilibrium point, determining the equality of characteristics and eigenvalues ​​of the Jacobian matrix. Next, look for values  ​​(Basic Reproductive Numbers), analyze stability around non-endemic and endemic equilibrium points and complete numerical simulations. From the simulation provided, it is known that by giving a fractional alpha value of and  , the greater the value of the fractional order parameters used, the movement of the solution graphs is getting closer to the equilibrium point. If given and still endemic, whereas if and  the value  is increased to non-endemic, then the number of hepatitis B sufferers will disappear.

Matematika

Matematika

Matematika

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2020-12-23

## How to Cite

Suriani, S., Toaha, S., & Kasbawati, K. (2020). MSEICR Fractional Order Mathematical Model of The Spread Hepatitis B. Jurnal Matematika, Statistika Dan Komputasi, 17(2), 314-324. https://doi.org/10.20956/jmsk.v17i2.10994

## Section

Research Articles