Analytic Solution to a Virus Infection Model

Liang Xu; Sha Xu

doi:10.4028/www.scientific.net/AMM.367.503

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 367Analytic Solution to a Virus Infection Model

Analytic Solution to a Virus Infection Model

Abstract:

A functional analytic method was developed by E.K.Ifantis in 1987 to prove that certain non-linear ordinary differential equations (ODEs) have a unique power series solution which converges absolutely in a specified disc of the complex plane. In this paper, we first applied this method to certain systems of two non-linear ordinary differential equations. We proved that the power series solutions can be determined by some recurrence relations which depend on the parameters of the equations and the initial conditions. Then, we found a method to extend the range of the converge bound. At last, we applied the functional analytic method to the resistant virus infection model to obtain a power series solution and compared our solution with the numerical solution obtained by the Runge-Kutta method using the software Matlab (Version 7.0.1).

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Periodical:

Applied Mechanics and Materials (Volume 367)

Pages:

503-507

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.367.503

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Online since:

August 2013

Authors:

Liang Xu, Sha Xu

Keywords:

Functional Analysis Method, Nonlinear Differential Equations, Operator Algorithm

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References

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