THE STABILITY OF ANTIBACTERIAL IMMUNE RESPONSE MATHEMATICAL MODELS

Boykov Ilya Vladimirovich, Doctor of physical and mathematical sciences, professor, head of sub-department of higher and applied mathematics, Penza State University, math@pnzgu.ru
Zakharova Yuliya Fridrikhovna, Candidate of physical and mathematical sciences, associate professor, sub-department of higher and applied mathematics, Penza State University, math@pnzgu.ru
Dmitrieva Alla Arkadyevna, Assistant, sub-department of higher and applied mathematics, Penza State University, math@pnzgu.ru
Budnikova Olga Andreevna, Student, Penza State University, math@pnzgu.ru

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The article describes a mathematical model of antibacterial immune response, introduced as nonlinear differential equation with variable coefficients and delays. The authors investigate the stability of the models under various initial conditions, reproducing different states of an organism.

mathematical models of immunology, stability, systems of nonlinear differential equations with delays.