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JOURNALS // University proceedings. Volga region. Physical and mathematical sciences // Archive

University proceedings. Volga region. Physical and mathematical sciences, 2008 Issue 4, Pages 32–46 (Mi ivpnz756)

This article is cited in 3 papers

Mathematics

Stability of the simplest mathematical model of immunology

I. V. Boykov, J. F. Zakharova, A. A. Dmitrieva

Penza State University, Penza

Abstract: The stability of the mathematical model of immunology proposed by G. I. Marchuk and describing the body's response to external influences is investigated. A generalization of the simplest model of immunology is given, which consists in the fact that its parameters depend on time. The criteria of stability and asymptotic stability of the model are obtained.

UDC: 519.6



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