Adomian decomposition approach to a SIR epidemic model with constant vaccination strategy

2007 ◽  
Vol 184 (2) ◽  
pp. 842-848 ◽  
Author(s):  
O.D. Makinde
Keyword(s):  
Epidemic Model ◽  
Vaccination Strategy ◽  
Sir Epidemic Model ◽  
Decomposition Approach ◽  
Sir Epidemic ◽  
Adomian Decomposition

scholarly journals Numerical Analysis of Fractional Order Epidemic Model of Childhood Diseases

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Fazal Haq ◽  
Muhammad Shahzad ◽  
Shakoor Muhammad ◽  
Hafiz Abdul Wahab ◽  
Ghaus ur Rahman
Keyword(s):  
Differential Equations ◽  
Fractional Order ◽  
Fractional Differential Equations ◽  
Epidemic Model ◽  
Adomian Decomposition Method ◽  
Classical Case ◽  
Sir Epidemic Model ◽  
Sir Epidemic ◽  
Adomian Decomposition ◽  
Fractional Differential

The fractional order Susceptible-Infected-Recovered (SIR) epidemic model of childhood disease is considered. Laplace–Adomian Decomposition Method is used to compute an approximate solution of the system of nonlinear fractional differential equations. We obtain the solutions of fractional differential equations in the form of infinite series. The series solution of the proposed model converges rapidly to its exact value. The obtained results are compared with the classical case.

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