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       Proceedings of the 9  Symposium on Applied Science, Business & Industrial Research – 2017
       ISSN 2279-1558, ISBN 978-955-7442-09-9

            A Time Series Model to Forecast Dengue Fever Incidences in Kurunegala
                                                 District

                                        Kaushalya WAW, Francisco GS
                        Department of Mathematical Sciences, Wayamba University of Sri Lanka
                                          kaushalyawaw@gmail.com
                                               ABSTRACT

              Effect of dangerous Dengue fever has come to all provinces of Sri Lanka. Western
       province  is  the  most  affected  province  by  Dengue  fever  among  all  the  provinces.  North
       Western  province  has  also  faced  this  problem.  Between  the  two  districts,  Kurunegala
       district has the highest effect. The objective of this study was to fit a time series model to
       forecast  the  Dengue  fever  incidences  in  Kurunegala  district.  Methods:  Monthly  Dengue
       patient counts from January 2010 to August 2016 were used for this study. SARIMA (0,1,0)
       (0,1,1)6 was fitted as the most suitable model with least Akaike Information Criterion(AIC)
       of  859.26  and  Mean  Absolute  Percentage  Error  (MAPE)  of  39.25%  using  time  series
       analysis.

       KEYWORDS: Dengue, Forecast, Kurunegala, North western, Puttalam

                                                         Dengue patient count from January 2010 to
                  1 INTRODUCTION
                                                         August  2016  were  collected  and  used  for
           North  Western  Province  is  one  of  the    this  study.  R  statistical  software  was  used
       nine provinces in Sri Lanka. It consists two      for the statistical analysis.
       districts named as Kurunegala and Puttalam.               2 LITERATURE REVIEW
       Between  the  two  districts,  Kurunegala
       district  has  reported  the  highest  amount  of     Gnanapragasam  (2016)  carried  out  a
       Dengue patients. The data of the most recent      time series model to forecast Dengue cases
       six  years  show  that  the  number  of  Dengue   in  Colombo  Municipal  council.  SARIMA
       patients are more than 1000 in each year in       (1, 0, 0) (1, 1, 2)6 was identified as the best
       Kurunegala  district.  Each  year  there  were    model  with  highest  R  squared  value  and
       2079 average number  of cases comes from          lowest  Akaike  Information  Criterion  (AIC)
       Kurunegala district. Good forecast directs to     value. Using the final model, the final model
       implement correct actions to reduce the risk      they  presented  was  forecasted  the  Dengue
       and aware of the future situation.                cases from July 2016 to December 2016.
       1.1 Objective of the study                            Gnanapragasam & Cooray (2015) found
                                                         statistical  models  to  forecast  the  Dengue
           This  study  was  carried  out  to  identify
       the  pattern  of  spread  of  Dengue  fever  in   cases  of  Western  Province.  Two  ARMA
       North   Western     Province   mainly    in       models were found for Colombo district and
       Kurunegala  District,  to  create  a  model  to   Western province. ARMA (2, 5) model was
       forecast  the  Dengue  fever  incidences  in      fitted for the Western Province. ARMA (4,
       Kurunegala  district  and  forecast  the          3) was fitted for the Colombo district.
       potential Dengue Patient count for the next           Kavinga,  Jayakody  and  Jayasundara
       six months.                                       (2013)  presented  a  time  series  model  to
                                                         forecast  the  Dengue  patient  count  in  the
       1.2 Data Collection
                                                         Colombo District. SARIMA (1,1,2) (1,0,1)3
           The  data  were  collected  from  the         was found as the best model.  Dengue cases
       Department  of  Health  Services,  North          from  March  2012  to  September  2012  were
       Western  Province  in  Sri  Lanka.  Monthly       forecasted. Thus they forecasted the Dengue





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