Version 1
: Received: 18 July 2022 / Approved: 19 July 2022 / Online: 19 July 2022 (07:55:29 CEST)
How to cite:
Munteanu, F. A 4-Dimensional Mathematical Model for Interaction between the Human Immune System and a Virus. Preprints2022, 2022070282. https://doi.org/10.20944/preprints202207.0282.v1
Munteanu, F. A 4-Dimensional Mathematical Model for Interaction between the Human Immune System and a Virus. Preprints 2022, 2022070282. https://doi.org/10.20944/preprints202207.0282.v1
Munteanu, F. A 4-Dimensional Mathematical Model for Interaction between the Human Immune System and a Virus. Preprints2022, 2022070282. https://doi.org/10.20944/preprints202207.0282.v1
APA Style
Munteanu, F. (2022). A 4-Dimensional Mathematical Model for Interaction between the Human Immune System and a Virus. Preprints. https://doi.org/10.20944/preprints202207.0282.v1
Chicago/Turabian Style
Munteanu, F. 2022 "A 4-Dimensional Mathematical Model for Interaction between the Human Immune System and a Virus" Preprints. https://doi.org/10.20944/preprints202207.0282.v1
Abstract
In the present study we introduce a deterministic mathematical model in order to study the interaction between the human immune system and a virus, like COVID 19. The mathematical analysis is based on the tools of dynamical systems theory, by modeling the interactions between the immune system and the virus, using a predator-prey method and following the ideas of G. Moza, from \cite{TGV}. It will be obtained some conclusions with medical relevance and the main three of them are the followings: 1) A deficiency of a single type of immunity in the early stages of virus proliferation, may lead to a large virus multiplication and the human body can loses the fight against this virus; 2) If the level of all components of the immunity system are at the normal threshold from the first moment of the infection and the immune system kill the virus at higher rate than the rate of virus reproduction, then the human body has the ability to stop the multiplication of the virus and liquidate it, that means the virus will be destroyed; 3) If the level of at least one type of immunity can be increased beyond the normal threshold, by medical interventions (like vaccination) in the early stages of virus infection, then the immune system has a better chance to win the fight with the virus.
Keywords
population dynamics; predator-prey; covid-19; dynamical systems; stability; ODE
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
