Computational Modelling and Analysis of Transmission dynamics of Zika Virus Based on Treatment

Authors(2) :-Ram Singh, Naveen Sharma

Zika virus is caused to be spread among human population by the Aedes aegypti pathogen. As per our information, no treatment is available to control this disease. In this paper, a basic SEIR mathematical model for transmission dynamics of Zika virus is presented and analyzed to understand the in-depth study of this deadly disease. A threshold parameter is also called reproduction number obtained, by using next generation technique, to analyze the stability of the disease free equilibrium (DFE) and endemic point. It has been seen that if R_0<1, DFE is locally asymptotically stable and unstable if R_0>1. Lyapunov functional is constructed to assess the global stability of the present model.

Authors and Affiliations

Ram Singh
Dept of Applied Sciences, School of Engineering & Technology, BGSB University Rajouri, Jammu & Kashmir, India
Naveen Sharma
Dept of Applied Sciences, School of Engineering & Technology, BGSB University Rajouri, Jammu & Kashmir, India

Zika Virus, Reproduction Number, Next Generation Techniques and Stability Analysis

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Publication Details

Published in : Volume 4 | Issue 1 | March-April 2018
Date of Publication : 2018-04-25
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 111-116
Manuscript Number : CSEIT411818
Publisher : Technoscience Academy

ISSN : 2456-3307

Cite This Article :

Ram Singh, Naveen Sharma, "Computational Modelling and Analysis of Transmission dynamics of Zika Virus Based on Treatment", International Journal of Scientific Research in Computer Science, Engineering and Information Technology (IJSRCSEIT), ISSN : 2456-3307, Volume 4, Issue 1, pp.111-116, March-April-2018.
Journal URL : http://ijsrcseit.com/CSEIT411818

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