Intro
Contents
About the Editors
1 Introduction to Compartmental Models in Epidemiology
Introduction
Simple Epidemic Models
What Is Equilibrium Point and Its Existence?
How to Compute Threshold or Basic Reproduction Number?
How to Characterize Nature of Stability?
What Is Bifurcation and What It Reflects?
How to Optimize the Issue?
Inside This Book
References
2 Modelling the Impact of Nationwide BCG Vaccine Recommendations on COVID-19 Transmission, Severity and Mortality
Introduction
Mathematical Model
Basic Reproduction Number

Local Stability Analysis
Sensitivity Analysis
Numerical Simulation
Conclusion
References
3 Modeling the Spread of COVID-19 Among Doctors from the Asymptomatic Individuals
Introduction
Mathematical Model
Analysis of the Compartmental Model
Positivity Analysis
Equilibrium Points
Basic Reproduction Ratio
Stability Analysis at DFE (Edfe)
Stability Analysis at EE (Eee)
Results and Discussion
Conclusions
References
4 Transmission Dynamics of Covid-19 from Environment with Red Zone, Orange Zone, Green Zone Using Mathematical Modelling
Introduction

Notations
Mathematical Model
Spectral Radius Ro
Stability Analysis
Local Stability
Optimal Control Problem
Numerical Simulation
Conclusion
References
5 A Comparative Study of COVID-19 Pandemic in Rajasthan, India
Introduction
Mathematical Modelling of COVID-19
Numerical Analysis
Conclusion
Annexure 1
Annexure 2
Annexure 3
Annexure 4
References
6 A Mathematical Model for COVID-19 in Italy with Possible Control Strategies
Introduction
The Mathematical Model
Basic Properties
Non-negativity of the Solution

Boundedness of the Solution
Disease Free Equilibrium and Basic Reproduction Number
Existence of Endemic Equilibrium
Backward Bifurcation
Stability Analysis
Local Stability of Disease Free Equilibrium
Global Stability of Disease Free Equilibrium
Local Stability of Endemic Equilibrium
Numerical Simulation and Model Fitting
Game Changers
Impact of Early Lock Down
Impact of Rapid Isolation on Infected Individuals
Conclusion
References
7 Effective Lockdown and Plasma Therapy for COVID-19
Introduction
Formulation of Mathematical Model

Equilibrium Solutions
Basic Reproduction Number
Stability Analysis
Optimal Control
Numerical Simulation
Conclusion
References
8 Controlling the Transmission of COVID-19 Infection in Indian Districts: A Compartmental Modelling Approach
Introduction
Model Development
Positivity and Boundedness of the Solution
Basic Reproduction Number and Equilibrium Point
Optimal Control Theory
Numerical Simulation
Conclusion
References
9 Fractional SEIR Model for Modelling the Spread of COVID-19 in Namibia
Introduction
Conceptual Model