Comparism Between Analytical and Numerical Result of Stability Analysis of a Dynamical System
Keywords:Biological mathematical model, Ordinary differential equations, sickle cells, HIV, T-cell, eigen values, ODE 45
Communication in Physical Sciences 2020, 5(4): 427-430
Received 15 June 2020/Accepted 29 July 2020
The system of ODE’s involving Sickle Cell, HIV and T-Cells are formulated with the aid of biological mathematical model. The eigen values are obtained to test for the trivial steady state solution or points using characteristic equation which is analytical. Finally, numerical simulations were carried out to test the level of reliability of the result.
Antoni, M. H. (2003). Stress management effects on Psychological Endocrinological, and Immune Functioning, Men With HIV Infection. Empirical Support for a Psychoncuroimmunological Model. Stress, 6, 3, pp. 173 – 188.
Burden, R. L. & Faires, J. D. (2011). Numerical analysis, ninth edition, Canada.
Ekaka, E. N., Didia, B. C. & Nwachukwu, E. C. (2014). Parametric sensitivity analysis of a mathematical model of HIV infection of CD4+ T-Cells. Port Harcourt Medical Journal, 8, pp. 61-66.
Elliot, A. J. Russo, J. & Roy-Byrne, P. P. (2002). The effect of changes in depression on health related quality of life (HRQoL) in HIV infection, General Hospital Psychiatry, 24, 1, pp. 43-47.
Grossman, Z., Polis, M. Fernberg, M., Levi, I.,. Jankelevich, S., Varchoan, R., Boon, J., Dewolf; F., Lange, J., Goudsmit, J., Dimitrov, D. & Paul, W. (1999), ongoing HIV dissemination during HAART, National Medicine, 5, p. 1099.
Herz, V., Bonhoffer, S., Anderson, R., Mayand, R. & Nowak, M. (1996), Viral dynamicsin Vivo: Limitations estimations on intracellular delay and virus decay. Proceeding of the USA National Academy of Science, 93, pp. 7247 – 7251.
Lange Snyder, F. R.., Lozovsky, D., Kaistha, V., Kaczaniuk M., A. & Jaffe, T. H, (1988). Geographic distribution of human immune deficiency virus markers in parenteral drug abusers. AMJ Public Health 78, pp. 446.
Song, X. & Chen, S. (2005). A delay – differential equation model of HIV infection of CD4+ T-Cells. Journal of. Korean Mathematical Society, 42, pp. 1071-1086.
Tam, J., (1999). Delaw effect in a model for virus replication, I MAI. Mathematics in Applied Medical Biology, 16. P. 9-.
Waziralih, Ashfaqne. R. A. & Herzig J. W. (2005). Association of blood group A with increased risk of coronary heart disease in the Pakistani Population. Pakistan Journal of Physiology, 1, 1-2, pp. 1-3.
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