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

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...

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Bibliographic Details
Main Author: Florian Munteanu
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/25/10/1392
Description
Summary: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.
ISSN:1099-4300