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On a generalization of the basic model of immunology

TitleOn a generalization of the basic model of immunology
AuthorsI. V. Boikov1, J. Zakharova1, A. Dmitrieva1
1Penza State University
AnnotationIn this paper, we propose generalizations of the basic model of immunology, which take into account the intraspecies antigens struggle for the habitat. The Lyapunov stability of models is investigated. Computational schemes are constructed and numerical modeling of various biological situations is carried out.
Keywordsordinary differential equations with delays, mathematical model of immunology, stability
CitationBoikov I. V., Zakharova J., Dmitrieva A. ''On a generalization of the basic model of immunology'' [Electronic resource]. Proceedings of the XIII International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 12-16, 2017). Saransk: SVMO Publ, 2017. - pp. 428-441. Available at: http://conf.svmo.ru/files/deamm2017/papers/paper60.pdf. - Date of access: 15.10.2019.