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Solution of the epidemic model by homotopy perturbation method. (English) Zbl 1112.92054
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. 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:
92D30Epidemiology
65H20Global numerical methods for nonlinear algebraic equations, including homotopy approaches
34E10Perturbations, asymptotics (ODE)
34A45Theoretical approximation of solutions of ODE