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All Journal The Journal of Experimental Life Sciences (JELS) Limits: Journal of Mathematics and Its Applications Sainmatika: Jurnal Ilmiah Matematika dan Ilmu Pengetahuan Alam Jurnal Matematika Integratif
Lisa Risfana Sari
Universitas Internasional Semen Indonesia
Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Electrical & Electronics Engineering Engineering Immunology & microbiology Mathematics Mechanical Engineering Medicine & Pharmacology Neuroscience Physics Transportation

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Journal : The Journal of Experimental Life Sciences (JELS)

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Comparing Vector-host and SEIR models for Zika Virus Transmission Puji Andayani; Rizal Dian Azmi; Lisa Risfana Sari
The Journal of Experimental Life Science Vol. 8 No. 3 (2018)
Publisher : Postgraduate School, Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (987.978 KB) | DOI: 10.21776/ub.jels.2018.008.03.05

Abstract

Some mathematical models to describe Zika virus transmissions have been analyzed. In this study, we construct two models of Zika virus transmission. The first one is the vector-host model. It considers the human population as host and mosquito's population as the vector. The second model is where there is only infected human population who act as transmitter without the existence of infected mosquitoes in the population. The impact of modeling assumption of Zika virus is studied by analyzed the reproduction number using Next Generation Matrix (NGM) method. Formerly, we compare the dynamics of the two models by interpreting the reproduction number of each model. Biologically, the two models cause a similar effect. If the reproduction number is less than one, then the disease is extinct. Otherwise, an endemic condition exists. The numerical simulation also used to explain the comparison of two models. The recovery and the transmission period are solved to compare these two cases. Keywords: comparison, mathematical model, reproduction number, SEIR, Zika Virus.
Co-Authors Andayani, Puji Rizal Dian Azmi