id author title date pages extension mime words sentence flesch summary cache txt american_scientific_journal-3424 Hossain, Md. Tareque; Miah, Md. Musa; Hossain, Md. Babul Numerical Study of Kermack-Mckendrik SIR Model to Predict the Outbreak of Ebola Virus Diseases Using Euler and Fourth Order Runge-Kutta Methods 2017 21 .pdf application/pdf 5121 230 70 American Scientific Research Journal for Engineering, Technology, and Sciences (ASRJETS) (2017) Volume 37, No 1, pp 1-21 11 π‘˜π‘˜2𝑑𝑑 = 𝛽𝛽 �𝑆𝑆𝑛𝑛 + π‘˜π‘˜1π‘‘π‘‘βˆ†π‘‘π‘‘ 2 οΏ½ �𝐼𝐼𝑛𝑛 + π‘˜π‘˜1π‘‘π‘‘βˆ†π‘‘π‘‘ 2 οΏ½ βˆ’ �𝐼𝐼𝑛𝑛 + π‘˜π‘˜1π‘‘π‘‘βˆ†π‘‘π‘‘ 2 οΏ½ π‘˜π‘˜2𝑑𝑑 = 𝛾𝛾 �𝐼𝐼𝑛𝑛 + π‘˜π‘˜1π‘‘π‘‘βˆ†π‘‘π‘‘ 2 οΏ½ π‘˜π‘˜3𝑑𝑑 = βˆ’π›½π›½ �𝑆𝑆𝑛𝑛 + π‘˜π‘˜2π‘‘π‘‘βˆ†π‘‘π‘‘ 2 οΏ½ (𝐼𝐼𝑛𝑛 + π‘˜π‘˜2π‘‘π‘‘βˆ†π‘‘π‘‘ 2 ) 2. Methodology 2.1 Formulation of SIR model The SIR model is used to illustrate the transfer of the epidemic through the interaction of the following three different variables: 𝑆𝑆 = Number of people that are susceptible to Ebola 𝐼𝐼 = Number of people infected with Ebola 𝑅𝑅 = Number of people recovered American Scientific Research Journal for Engineering, Technology, and Sciences (ASRJETS) (2017) Volume 37, No 1, pp 1-21 3 from Ebola with total immunity It makes sense to assume that a fixed population of 𝑁𝑁 people, whereby there are no births and deaths by natural cause i.e. 𝑁𝑁 = 𝑆𝑆 + 𝐼𝐼 + 𝑅𝑅 [5] This is because the population is fixed and therefore, there are only three compartments in which the population may fit into. cache/american_scientific_journal-3424.pdf txt/american_scientific_journal-3424.txt