Methods of Mathematical Modelling

Methods of Mathematical Modeling for 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. Methods of Mathematical Modeling for Infectious Diseases provides readers with methods, techniques, and algorithms to model and predict outcomes of real-life biological problems more accurately, focusing 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. It is a very challenging task to develop proper mathematical models and then find solutions to them. On many occasions, analysis of failed models is required so that more accurate models can be designed. 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. Includes mathematical modelling 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 foundational understanding of modelling 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 modelling techniques