<mets:mets OBJID="oai:myais.fsktm.um.edu.my:1457" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:mods="http://www.loc.gov/mods/v3" LABEL="Eprints Item" xsi:schemaLocation="http://www.loc.gov/METS/ http://www.loc.gov/standards/mets/mets.xsd http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-0.xsd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mets="http://www.loc.gov/METS/"><mets:metsHdr CREATEDATA="2009-01-09T04:42:53Z"><mets:agent TYPE="ORGANIZATION" ROLE="CUSTODIAN"><mets:name>Malaysian Abstracting and Indexing System</mets:name></mets:agent></mets:metsHdr><mets:dmdSec ID="DMD_oai:myais.fsktm.um.edu.my:1457_mods"><mets:mdWrap MDTYPE="mods"><mets:xmlData><mods:titleInfo><mods:title>Mathematical Model of Dengue Disease Transmission with Severe DHF Compartment</mods:title></mods:titleInfo><mods:name type="personal"><mods:namePart type="given"> </mods:namePart><mods:namePart type="family">Nurani, N.</mods:namePart><mods:role><mods:roleTerm type="text">author</mods:roleTerm></mods:role></mods:name><mods:name type="personal"><mods:namePart type="given"> </mods:namePart><mods:namePart type="family">Soewono, E.</mods:namePart><mods:role><mods:roleTerm type="text">author</mods:roleTerm></mods:role></mods:name><mods:name type="personal"><mods:namePart type="given"> </mods:namePart><mods:namePart type="family">Sidarto, K.A.</mods:namePart><mods:role><mods:roleTerm type="text">author</mods:roleTerm></mods:role></mods:name><mods:abstract>An SIR model for dengue disease transmission is discussed here. It is assumed that two viruses namely strain 1 and strain 2 cause the disease and long lasting immunity from infection caused by one virus may not be valid with respect to a secondary infection by the other virus. Our interest here is to derive and analyse the model taking into account the severe DHF compartment in the transmission model. The aim would be to find a control measure to reduce the DHF patients in the population, or to keep the number of patients at an acceptable level. Analysis of this model reveals that there are four equilibria, one of them is the disease-free, the other three equilibria correspond to the presence of single serotype respectively, and the coexistence of two serotypes. Stability analysis of each equilibria and their relations with type reproductive numbers are shown. We also discuss the ratio between total number of severe DHF compartment with respect to the total number of first infection compartment and the total number of secondary infection compartment, respectively. This ratio is needed for practical control measure in order to predict the “real” intensity of the endemic phenomena since only data of severe DHF compartment is available in the field.&#13;
&#13;
&#13;
2000 Mathematics Subject Classification: 92D30</mods:abstract><mods:classification authority="lcc">Q Science, Computer Science</mods:classification><mods:originInfo><mods:dateIssued encoding="iso8061">2007</mods:dateIssued></mods:originInfo><mods:originInfo><mods:publisher>Penerbit Universiti Sains Malaysia</mods:publisher></mods:originInfo><mods:genre>Journal</mods:genre></mets:xmlData></mets:mdWrap></mets:dmdSec><mets:amdSec ID="TMD_oai:myais.fsktm.um.edu.my:1457"><mets:rightsMD ID="rights_oai:myais.fsktm.um.edu.my:1457_mods"><mets:mdWrap MDTYPE="mods"><mets:xmlData><mods:useAndReproduction>
<p><strong>For work being deposited by its own author:</strong> 
In self-archiving this collection of files and associated bibliographic 
metadata, I grant Malaysian Abstracting and Indexing System the right to store 
them and to make them permanently available publicly for free on-line. 
I declare that this material is my own intellectual property and I 
understand that Malaysian Abstracting and Indexing System does not assume any 
responsibility if there is any breach of copyright in distributing these 
files or metadata. (All authors are urged to prominently assert their 
copyright on the title page of their work.)</p>

<p><strong>For work being deposited by someone other than its 
author:</strong> I hereby declare that the collection of files and 
associated bibliographic metadata that I am archiving at 
Malaysian Abstracting and Indexing System) is in the public domain. If this is 
not the case, I accept full responsibility for any breach of copyright 
that distributing these files or metadata may entail.</p>

<p>Clicking on the deposit button indicates your agreement to these 
terms.</p>
    </mods:useAndReproduction></mets:xmlData></mets:mdWrap></mets:rightsMD></mets:amdSec><mets:fileSec></mets:fileSec><mets:structMap><mets:div DMDID="DMD_oai:myais.fsktm.um.edu.my:1457_mods" AMDID="TMD_oai:myais.fsktm.um.edu.my:1457"></mets:div></mets:structMap></mets:mets>