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Zbl 1112.92054
Rafei, M.; Ganji, D.D.; Daniali, H.
Solution of the epidemic model by homotopy perturbation method. (English)
[J] Appl. Math. Comput. 187, No. 2, 1056-1062 (2007). ISSN 0096-3003

Summary: The problem of the spread of a non-fatal disease in a population which is assumed to have constant size over the period of the epidemic is considered. {\it J.-H. He}'s [see Appl. Math. Comput. 156, No.~3, 591--596 (2004; Zbl 1061.65040); ibid. 135, No.~1, 73--79 (2003; Zbl 1030.34013)] homotopy perturbation method is employed to compute an approximation to the solution of the system of nonlinear ordinary differential equations governing the problem. The results are compared with the results obtained by the Adomian decomposition method. Some plots are presented to show the reliability and simplicity of the method.

MSC 2000:: *92D30 Epidemiology
65H20 Global methods, including homotopy approaches
34E10 Asymptotic perturbations (ODE)
34A45 Theoretical approximation of solutions of ODE

Keywords: homotopy perturbation method; system of nonlinear differential equations

Citations: Zbl 1061.65040; Zbl 1030.34013

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Zentralblatt MATH Berlin [Germany]