A Local Analysis of a Mathematical Pattern for Interactions between the Human Immune System and a Pathogenic Agent.

Entropy (Basel)

Department of Applied Mathematics, University of Craiova, Al. I. Cuza, 13, 200585 Craiova, Romania.

Published: September 2023

In the present study, we introduce a four-dimensional deterministic mathematical pattern in order to study the interactions between the human immune system and a virus. The model is based on a system with four first-order ordinary differential equations, and the main aim of the paper is to perform a mathematical analysis of the local behavior of the associated dynamical system using the tools of the qualitative theory of dynamical systems. Moreover, two types of patterns with controls were introduced; consequently, some very interesting theoretical conclusions with medical relevance were obtained.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC10606378PMC
http://dx.doi.org/10.3390/e25101392DOI Listing

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