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Details
Table of Contents
Intro
Preface
Acknowledgements
Contents
About the Editors
General Analysis
Continued and Serious Lockdown Could Have Minimized Many Newly Transmitted Cases of Covid-19 in the U.S.: Wavelets, Deterministic Models, and Data
1 Introduction
2 Methods, Models and Data
3 Data
4 Results
5 Concluding Remarks
References
Dynamical Analysis of a Caputo Fractional Order SIR Epidemic Model with a General Treatment Function
1 Introduction
2 Mathematical Model and Preliminaries
3 Preliminaries
4 The Well-Posedness of the Model and Equilibria
4.1 Existence of Endemic Equilibrium
5 Local Stability Analysis
6 Global Stability Analysis
6.1 Infection-Free Equilibrium
6.2 Endemic Equilibrium
7 Numerical Simulations
8 Concluding Remarks
References
Protective Face Shield Effectiveness: Mathematical Modelling
1 Introduction
2 Practical Application of Face Shields
3 Mathematical Modelling
3.1 Euler Form of Equations
3.2 Lagrangian Form of Equations
3.3 Model Description
3.4 Numerical Methods
3.5 Computer Simulation
4 Full-Scale Experiment
5 Conclusion
References
On the Evolution Equation for Modelling the Covid-19 Pandemic
1 Introduction
2 The Evolution Equation
2.1 The Classical Kolmogorov-Feller Equation
2.2 The Generalised Kolmogorov-Feller Equation
2.3 Orthonormal Memory Functions
2.4 Time Series Models
2.5 Logarithmic Scale Analysis
3 Random Walk Fields
4 Self-Affine Random Walk Fields
4.1 Solution for Eq. (7)
4.2 Solution for Eq. (8)
4.3 Random Walk Analysis
4.4 Example Results
5 The Bio-Dynamics Hypothesis
5.1 Self-affine Structures of a Virus
5.2 A Parametric Self-affine Model
5.3 Discussion
6 Summary, Conclusions and Future Research
6.1 Summary
6.2 Conclusions
6.3 Future Research
References
Modelling the Dynamics of Fake News Spreading Transmission During Covid-19 Through Social Media
1 Introduction
2 Methodology/Proposal
2.1 SIR Model for Fake News Transmission
2.2 Fake News Transmission Rate Through Different Social Media Platforms
2.3 Fake News Transmission Rate Among Users of Different Age Groups
2.4 Fake News Transmission Rate Among Users of Facebook from Different Countries
3 Results, Interpretation and Discussion
4 Conclusion
Preface
Acknowledgements
Contents
About the Editors
General Analysis
Continued and Serious Lockdown Could Have Minimized Many Newly Transmitted Cases of Covid-19 in the U.S.: Wavelets, Deterministic Models, and Data
1 Introduction
2 Methods, Models and Data
3 Data
4 Results
5 Concluding Remarks
References
Dynamical Analysis of a Caputo Fractional Order SIR Epidemic Model with a General Treatment Function
1 Introduction
2 Mathematical Model and Preliminaries
3 Preliminaries
4 The Well-Posedness of the Model and Equilibria
4.1 Existence of Endemic Equilibrium
5 Local Stability Analysis
6 Global Stability Analysis
6.1 Infection-Free Equilibrium
6.2 Endemic Equilibrium
7 Numerical Simulations
8 Concluding Remarks
References
Protective Face Shield Effectiveness: Mathematical Modelling
1 Introduction
2 Practical Application of Face Shields
3 Mathematical Modelling
3.1 Euler Form of Equations
3.2 Lagrangian Form of Equations
3.3 Model Description
3.4 Numerical Methods
3.5 Computer Simulation
4 Full-Scale Experiment
5 Conclusion
References
On the Evolution Equation for Modelling the Covid-19 Pandemic
1 Introduction
2 The Evolution Equation
2.1 The Classical Kolmogorov-Feller Equation
2.2 The Generalised Kolmogorov-Feller Equation
2.3 Orthonormal Memory Functions
2.4 Time Series Models
2.5 Logarithmic Scale Analysis
3 Random Walk Fields
4 Self-Affine Random Walk Fields
4.1 Solution for Eq. (7)
4.2 Solution for Eq. (8)
4.3 Random Walk Analysis
4.4 Example Results
5 The Bio-Dynamics Hypothesis
5.1 Self-affine Structures of a Virus
5.2 A Parametric Self-affine Model
5.3 Discussion
6 Summary, Conclusions and Future Research
6.1 Summary
6.2 Conclusions
6.3 Future Research
References
Modelling the Dynamics of Fake News Spreading Transmission During Covid-19 Through Social Media
1 Introduction
2 Methodology/Proposal
2.1 SIR Model for Fake News Transmission
2.2 Fake News Transmission Rate Through Different Social Media Platforms
2.3 Fake News Transmission Rate Among Users of Different Age Groups
2.4 Fake News Transmission Rate Among Users of Facebook from Different Countries
3 Results, Interpretation and Discussion
4 Conclusion