Sensitivity study on a deterministic model of Zika disease transmission

Authors

  • Gabriel Dimitriu University of Medicine and Pharmacy Grigore T. Popa

Abstract

This work performs a local and global sensitivity analysis (seeВ  also [1], [3]) of a deterministic model introduced in [2] of Zika disease transmission that takes into account both mosquito-borne and sexual transmission modes. Human population is divided into six classes: susceptible, exposed, symptomatically infected, convalescent, asymptomatically infected, and recovered, and the mosquito population is divided into three classes: susceptible, exposed, and infectious. The computational issues generate the sensitivity heat map from which one is able to effectively identify those observable variables that are sensitive to some parameter, and the parameter sensitivity spectrum that characterizes the sensitivity of these observable variables and the system as a whole with respect to each parameter.

References

Identifiability and Sensitivity Analyses for a Chronic Myelogenous Leukemia Model with T Cell Interaction, Book Series: International Conference on System Theory Control and Computing, Sinaia, Romania, October 19--21 (2017) 704--710.

D. Gao, Y. Lou, D. He, T.C. Porco, Y. Kuang, G. Chowell, S. Ruan,

Prevention and Control of Zika as a Mosquito-Borne and Sexually Transmitted Disease: A Mathematical Modeling Analysis, Scientific Reports 6:28070, DOI:10.1038/srep28070 (2016) 1--10.

D.A. Rand, Mapping global sensitivity of cellular network dynamics: sensitivity heat maps and a global summation law, J.R. Soc. Interface 5, DOI;10.1098/rsif.2008.0084.focus (2008) S59--S69.

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Published

2018-05-22

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Section

Conference Contributions