Book Chapter: Mathematical Modelling Studies with Reference to COVID-19 Pandemic

This chapter is part of the Book titled “Pandemic and Problems: Lessons for Recovery and Resilience” released by The Tamil Nadu Dr. MGR Medical University.

Identifying the Issue

In this work, we discuss the within-host, the between-host and the multi-scale mathematical models for COVID-19 viral infections. We also present the outcomes of our study.

Objective of the Research

We propose to study the natural history of COVID-19 model and also the role and efficacies of various control strategies including the antiviral drugs and immunomodulators.

Who should read this?

Academics, Mathematics, Bio-Mathematics, Mathematical Modelling, Doctors-Physicians, Research

Solution

In this work, we discuss the within-host, the between-host and the multi-scale mathematical models for COVID-19 viral infections. The results from the natural history of the within-host model suggests that the proposed model undergoes trans-critical bifurcation when the value of basic reproduction number is one. Results from optimal control theory suggests that combined drug therapy is the best strategy to be used to contain the spread of infection at within-host level. At the between-host level, combined use of vaccination and treatment is found to be effective in lowering infection at the population level. From multi-scale work it is found that the spread of infection at community level is influenced by the within-host parameters.

Key Features and Benefits

• It is observed that the viral load decreases the most when antiviral drugs and immunomodulators are used together. This could help doctors and physicians to look for combination therapy as one of the alternative to stop the multiplication of virus in the body
• Vaccination along with treatments can reduce COVID-19 infection
• The spread of infection at community level is influenced by the within-host parameters

Impact

• The work presented in this paper could enhance our understanding of complex interplay of immune response and virus particles in the body
• It can help physicians with decision making in the treatment of life-threatening COVID-19 pneumonia

Team

• Sri Bishal Chhetri, Research Scholar, Dept. of Mathematics & Computer Science, SSSIHL
• Dr. D K K Vamsi, Asst. Professor, Dept. of Mathematics & Computer Science, SSSIHL
• Prof. (Dr) Carani B Sanjeevi, Vice -Chancellor, SSSIHL

Chapter Title: Mathematical Modelling Studies with Reference to COVID-19 Pandemic

Book Title: Pandemic and Problems: Lessons for Recovery and Resilience

The book was released by the Chief Minister of Tamil Nadu, Shri M K Stalin at the Annual Convocation of The Tamil Nadu Dr MGR Medical University, Chennai, held on 20 December 2021.