Methods of Mathematical Modelling: Infectious Diseases

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, Ebola virus, smoking, AIDS/HIV infection, 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, HIV/AIDS, COVID-19, Ebola virus, 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 INDICE: 1. Stability analysis of biological models2. Detection of bifurcation scenario in biological models3.Chaotic dynamics of biological models4. Numerical treatment for biological models5. Numerical solution for Cancer models6. Numerical treatment for HIV/AIDS infection models7. Numerical solution for smoking models8. Numerical treatment for SIR/SIRA model9. Numerical treatment for Covid-19 model10. Numerical treatment for Ebola virus model11. Numerical treatment for various models for fever12. Numerical methods for non-linear differential equations arising in biology13. Numerical methods of functional equations arising in biology

• ISBN: 978-0-323-99888-8
• Editorial: Academic Press
• Encuadernacion: Rústica
• Páginas: 232
• Fecha Publicación: 01/06/2022
• Nº Volúmenes: 1
• Idioma: Inglés