Methods of Mathematical Modeling: Infectious Diseases presents computational methods related to biological systems and their numerical treatment via mathematical tools and techniques. Edited by renowned experts in the field, Dr. Hari Mohan Srivastava, Dr. Dumitru Baleanu, and Dr. Harendra Singh, the book examines advanced numerical methods to provide global solutions for biological models. These results are important for medical professionals, biomedical engineers, mathematicians, scientists and researchers working on biological models with real-life applications. The authors deal with methods as well as applications, including stability analysis of biological models, bifurcation scenarios, chaotic dynamics, and non-linear differential equations arising in biology.
The book focuses primarily on infectious disease modeling and computational modeling of other real-world medical issues, including COVID-19, smoking, cancer and diabetes. The book provides the solution of these models so as to provide actual remedies.
1. 1: Introduction - p. 113 2. 2: Preliminaries - p. 116 3. 3: Solution for FKDV equation - p. 117 4. 4: Results and discussion - p. 131 5. 5: Conclusion - p. 132 6. 8 Modeling and analysis of computer virus fractional order model - p. 137 7. 1: Introduction - p. 137 8. 2: Basic concept of fractional order - p. 139 9. 3: Mathematical model formulations - p. 140 10. 4: Atangana-Baleanu Caputo sense - p. 148 11. 5: Result and discussion - p. 153 12. 6: Conclusion - p. 156 13. 9 Stochastic analysis and disease transmission - p. 159 14. 10 Analysis of the Adomian decomposition method to estimate the COVID-19 pandemic - p. 173 15. 11 Study of a COVID-19 mathematical model - p. 189 16. 1: Introduction - p. 189 17. 2: Fundamental results - p. 192 18. 3: Feasibility of solution and stability analysis - p. 193 19. 4: Qualitative analysis - p. 196 20. 5: Series solution for model (2) - p. 199 21. 6: Numerical solution for Eq. (3) - p. 204 22. 7: Computational of the numerical solution of the COVID-19 model for model (2) - p. 206 23. 8: Graphical results and discussion for model (3) - p. 207 24. 9: Concluding remarks - p. 211 25. Index - p. 217
Methods of Mathematical Modeling: Infectious Diseases presents computational methods related to biological systems and their numerical treatment via mathematical tools and techniques. Edited by renowned experts in the field, Dr. Hari Mohan Srivastava, Dr. Dumitru Baleanu, and Dr. Harendra Singh, the book examines advanced numerical methods to provide global solutions for biological models. These results are important for medical professionals, biomedical engineers, mathematicians, scientists and researchers working on biological models with real-life applications. The authors deal with methods as well as applications, including stability analysis of biological models, bifurcation scenarios, chaotic dynamics, and non-linear differential equations arising in biology.
The book focuses primarily on infectious disease modeling and computational modeling of other real-world medical issues, including COVID-19, smoking, cancer and diabetes. The book provides the solution of these models so as to provide actual remedies.
1. 1: Introduction - p. 113 2. 2: Preliminaries - p. 116 3. 3: Solution for FKDV equation - p. 117 4. 4: Results and discussion - p. 131 5. 5: Conclusion - p. 132 6. 8 Modeling and analysis of computer virus fractional order model - p. 137 7. 1: Introduction - p. 137 8. 2: Basic concept of fractional order - p. 139 9. 3: Mathematical model formulations - p. 140 10. 4: Atangana-Baleanu Caputo sense - p. 148 11. 5: Result and discussion - p. 153 12. 6: Conclusion - p. 156 13. 9 Stochastic analysis and disease transmission - p. 159 14. 10 Analysis of the Adomian decomposition method to estimate the COVID-19 pandemic - p. 173 15. 11 Study of a COVID-19 mathematical model - p. 189 16. 1: Introduction - p. 189 17. 2: Fundamental results - p. 192 18. 3: Feasibility of solution and stability analysis - p. 193 19. 4: Qualitative analysis - p. 196 20. 5: Series solution for model (2) - p. 199 21. 6: Numerical solution for Eq. (3) - p. 204 22. 7: Computational of the numerical solution of the COVID-19 model for model (2) - p. 206 23. 8: Graphical results and discussion for model (3) - p. 207 24. 9: Concluding remarks - p. 211 25. Index - p. 217
