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

Author:

Munteanu Florian1ORCID

Affiliation:

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

Abstract

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.

Publisher

MDPI AG

Subject

General Physics and Astronomy

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