Symmetry analysis of the mathematical model for the dynamic transmission of Dengue, Chikungunya and Zika

Authors

  • Maluti Kgarose*
  • Jacob Manale University of South Africa

Abstract

An SEIR-SEI model is presented in [1] that produces a set of ordinary differential equations. The model describesВ the dynamic transmission of Dengue, Chikungunya and Zika viruses that are mosquito-borne diseases [2]. TheyВ are transmitted by the female mosquito, Aedes aegypti. We use Lie symmetrical analysis, more specificallyВ virtual symmetries in obtaining solutions to these ordinary differential equations. ...

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Author Biography

Jacob Manale, University of South Africa

Mathematical Sciences department, Senior Lecturer

References

Isea, R., 2014. Analysis of an SEIR-SEI four-strain epidemic Dengue model with primary and secondary

infections. arXiv preprint arXiv:1406.4155

Isea, R. and Lonngren, K.E., 2016. A preliminary mathematical model for the dynamic transmission of

Dengue, Chikungunya and Zika. arXiv preprint arXiv:1606.08233

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Published

2017-03-06

Issue

Section

Conference Contributions