Mathematical Modelling of Immune Response to Infectious Diseases with Ecological Factor [Articol]

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2024

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Abstract

The abstract generalizes G.I. Marchuk’s mathematical model of the human immune system’s response to infectious disease. The negative impact of environmental pollution, described by the Hutchinson equation, on the course of the disease is considered. Stationary solutions are found, their stability is investigated, and a medical interpretation of the obtained results is provided.

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immune response, infectious disease, mathematical model, delay, stationary solution

Citation

BIHUN, Yaroslav and Oleh UKRAINETS. Mathematical Modelling of Immune Response to Infectious Diseases with Ecological Factor. In: International Conference dedicated to the 60th anniversary of the foundation of Vladimir Andrunachievici Institute of Mathematics and Computer Science, MSU, October 10-13 2024. Chisinau: [S. n.], 2024, pp. 151-154. ISBN 978-9975-68-515-3.

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