A Mathematical Model of a Zika Virus Transmission with Impact of Awareness by Media

Year 2019, Volume: 1 Issue: 2, 60 - 68, 29.12.2019

Puji Andayanı

Abstract

This paper has studied the transmission of Zika Virus with the impact of media. We analyzed the impact of the awareness programs on social media for the Zika Virus transmission model with saturated incidence rate. The Beddington-De Angelis functional responses used to explain the interaction between a suspected human and an infected human. The dynamical analysis identified by computing the disease-free equilibrium(DFE) and endemic equilibrium(END). The Basic Reproduction Number was identified by Next Generation Matrix(NGM) method. Then the stability of DFE and END were analyzed locally by computing the determinant of Jacobian. The DFE was identified as locally stable when the basic reproduction number was less than unity and was identified as unstable otherwise. Otherwise, the END was identified as existents when the basic reproduction number was greater than unity. The Routh-Hurwitz Criterion showed that the END was locally stable under a specific condition. In the last, the stability of the equilibrium point was also identified numerically depending on certain parameter values.

Keywords

Zika Virus, dynamical analysis, social media, next generation matriks, routh hurwitz

Supporting Institution

Direktorat Riset dan Pengabdian Masyarakat (DRPM), Direktorat Jenderal Penguatan Riset dan Pengembangan, the Ministry of Research, Technology, and Higher Education, Indonesia

Thanks

The authors give deep gratitude to Direktorat Riset dan Pengabdian Masyarakat (DRPM), Direktorat Jenderal Penguatan Riset dan Pengembangan, the Ministry of Research, Technology, and Higher Education, Indonesia for the funding support. The author also expresses big thanks to Research and Human Responsibility Institute of Universitas International Semen Indonesia and the crew of the Informatics department, for the greatest support.

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