A nonperturbative analytical solution of immune response with time-delays and possible generalization

Mathematical and Computer Modelling

Volumn 24, Issue 10, 1996, Pages 89-96

  Adomian, G ^a   Cherruault, Y ^b   Abbaoui, K ^b  

^a General Analytics Corporation   (United States)

^b SORBONNE UNIVERSITÉ   (France)

Author keywords

Decomposition method; Differential equations with delays; Immune response

Indexed keywords

EID: 0030292214     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(96)00167-7     Document Type: Article

References (8)

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2. 2. G. Adomian, Solving Frontier Problems of Physics: The Decomposition Method, Kluwer Publication, (1994).
3. 3. K. Abbaoui and Y. Cherruault, Convergence of Adomian's method applied to differential equations, Mathl. Comput. Modelling 28 (5), 103-109 (1994).
4. 4. K. Abbaoui, Y. Cherruault and V. Seng, Practical formulae for the calculus of multivariable Adomian's polynomials, Mathl. Comput. Modelling 22 (1), 89-93 (1995).
5. 5. G. Adomian, Nonlinear Stochastic Operator Equations, Academic Press, (1986).
6. 6. G. Adomian and R. Rach, Nonlinear stochastic differential-delay equations, J. Math. Anal. and Appl. 91, 94-101 (1983).
7. 7. G.I. Marchuk, Mathematical Models in Immunology, (Edited by A.V. Balakrishnan), Springer-Verlag, (1983).
8. 8. G.I. Marchuk and R.V. Petrov, The mathematical model of the antiviral immune response, In Mathematical Modelling in Immunology and Medicine, (Edited by G.I. Marchuk and L.N. Belykh), pp. 161-173, North-Holland, (1983).