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Vector borne infectious disease mapping with stochastic difference equations : an analysis of dengue disease in Malaysia

Samat, NA; Percy, DF

Authors

NA Samat

DF Percy



Abstract

Few publications consider the estimation of relative risk for vector borne infectious diseases. Most of these articles involve exploratory analysis that includes the study of covariates and their effects on disease distribution and the study of geographic information
systems to integrate patient-related information. The aim of this paper is to introduce an alternative method of relative risk estimation based on discrete time-space stochastic SIR-SI models (susceptible-infective-recovered for human populations; susceptible-infective for vector populations) for the transmission of vector borne infectious diseases, particularly dengue disease.
Firstly, we describe deterministic compartmental SIR-SI models that are suitable for dengue disease transmission. We then adapt these to develop corresponding discrete timespace stochastic SIR-SI models. Finally, we develop an alternative method of estimating the relative risk for dengue disease mapping based on these models and apply them to analyse dengue data from Malaysia. This new approach offers a better model for estimating the relative risk for dengue disease mapping compared to the other common approaches, because it takes into account the transmission process of the disease while allowing for covariates and
spatial correlation between risks in adjacent regions.

Citation

Samat, N., & Percy, D. (2012). Vector borne infectious disease mapping with stochastic difference equations : an analysis of dengue disease in Malaysia. Journal of Applied Statistics, 39(9), 2029-2046. https://doi.org/10.1080/02664763.2012.700450

Journal Article Type Article
Acceptance Date Jun 2, 2012
Online Publication Date Jun 27, 2012
Publication Date Jun 27, 2012
Deposit Date May 10, 2012
Journal Journal of Applied Statistics
Print ISSN 0266-4763
Publisher Routledge
Peer Reviewed Peer Reviewed
Volume 39
Issue 9
Pages 2029-2046
DOI https://doi.org/10.1080/02664763.2012.700450
Publisher URL http://dx.doi.org/10.1080/02664763.2012.700450
Related Public URLs http://www.tandfonline.com/loi/cjas20
Additional Information Funders : Ministry of Health, Malaysia



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