Mathematical model of immune reaction
UDC
517.968.7EDN
KASCPJAbstract
The work describes the mathematical model of an infectious disease, which is presented as a system of integral-differential equations with corresponding initial conditions. Existence of a solution of the model, its uniqueness and non-negativity are studied, as well as the stability of stationary solutions.
Keywords:
mathematical model, infectious disease, integral-differential equation, stationary solution, exponential stabilityReferences
- Марчук Г.И. Математические модели в иммунологии. Вычислительные методы и эксперименты. М.: Наука, 1991. 304 с.
- Ярилин А.А. Основы иммунологии. М.: Медицина, 1999. 606 c.
- Ройт А., Бростофф Дж., Мейл Д. Иммунология. М.: Мир, 2000. 593 c.
- Носсел Г. Антитела и иммунитет. М.: Медицина, 1973. 176 c.
- Хворост О.Ю., Цалюк З.Б. Об устойчивости и неустойчивости квазилинейных систем интегро-дифференциальных уравнений // Известия ВУЗов. Математика. 2007. Т. 546. No 11. С. 79-82.
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Dates
Submitted
February 10, 2008
Accepted
March 3, 2008
Published
March 27, 2009
How to Cite
[1]
Levchenko (Khvorost), O.Y., Tsalyuk, Z.B., Mathematical model of immune reaction. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2009, № 1, pp. 5–9.
License
Copyright (c) 2009 Левченко (Хворост) О.Ю., Цалюк З.Б.
This work is licensed under a Creative Commons Attribution 4.0 International License.
