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Methods of Mathematical Modelling

Infectious Diseases

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Paperback, blz. | Engels
Elsevier Science | e druk, 2022
ISBN13: 9780323998888
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Elsevier Science e druk, 2022 9780323998888
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Samenvatting

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.

Specificaties

ISBN13:9780323998888
Taal:Engels
Bindwijze:Paperback

Inhoudsopgave

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

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        Methods of Mathematical Modelling