Using Adomian decomposition method for solving a vector-host model

Authors

  • Ibrahim Elmojtaba Sultan Qaboos University

DOI:

https://doi.org/10.14419/ijamr.v5i2.6026

Published:

2016-04-27

Keywords:

Adomian decomposition method, vector-host model, ODE solvers, numerical simulation, stability analysis.

Abstract

In this paper, we use Adomian decomposition method (ADM) for solving a vector-host model by using an alternate algorithm suggested by Biazar et. al [4]. Some of the first terms were generated and plotted against time and compared our results with the regular Runge-Kutta numerical methods by using Matlab ode45 function.

References

[1] G. Adomian. Nonlinear Stochastic Systems and Applications to Physics, Kluwer Academic Publishers, Dordrecht, 1989.

[2] G. Adomian. Solving Frontier Problems of Physics: The Decomposition Method, Kluwer Academic Publishers, Dordrecht, 1994.

[3] E. Babolian and J. Biazar. Solution of a system of nonlinear Volterra integral equations of the second kind. Far East J. Math. Sci., 2(6) (2000) 935-945.

[4] J. Biazar, E. Babolian, A. Nouri, and R. Islam. An alternate algorithm for computing Adomian decomposition method in special cases. Appl. Math. Comp., 38(2-3) (2003) 523-529.

[5] C. Bowman, A.B. Gumel, P. van den Driessched, J. Wue, and H. Zhue. A mathematical model for assessing control strategies against West Nile virus. Bulletin of Mathematical Biology, 67 (2005) 1107-1133.

[6] G. Macdonald. The Epidemiology and Control of Malaria, Oxford University Press, London, 1957.

[7] Z. Mukandavire, A.B. Gumel, W. Garira, and J.M. Tchuenche. Mathematical Analysis of a model for HIV-Malaria co-infection. Mathematical Biosciences and Engineering, 6(2)(2009) 333-359.

[8] R. Ross. The Prevention of Malaria, John Murray, Oxford, London, 1911.

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