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.

• Includes mathematical modeling for a variety of infectious diseases and disease processes, including SIR/SIRA,  COVID-19, cancer, smoking and diabetes
• Offers a complete and foundational understanding of modeling algorithms and techniques such as stability analysis, bifurcation scenarios, chaotic dynamics, and non-linear differential equations
• Provides readers with datasets for applied learning of the various algorithms and modeling techniques

1. Epidemic theory: Studying the effective and basic reproduction numbers, epidemic thresholds and techniques for the analysis of infectious diseases with particular emphasis on tuberculosis 2. Numerical methods applied to a class of SEIR epidemic models described by the Caputo derivative 23 3. Mathematical model and interpretation of crowding effects on SARS-CoV-2 using Atangana-Baleanu fractional operator 4. Analysis for modified fractional epidemiological model for computer viruses 5. Analysis of e-cigarette smoking model by a novel technique 6. Stability analysis of an unhealthy diet model with the effect of antiangiogenesis treatment 7. Analysis of the spread of infectious diseases with the effects of consciousness programs by media using three fractional operators 8. Modeling and analysis of computer virus fractional order model 9. Stochastic analysis and disease transmission 10. Analysis of the Adomian decomposition method to estimate the COVID-19 pandemic 11. Study of a COVID-19 mathematical model