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Methods of Mathematical Modelling Summary

Methods of Mathematical Modelling: Infectious Diseases by Harendra Singh (Assistant Professor, Department of Mathematics, Post-Graduate College, Uttar Pradesh, India)

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.

About Harendra Singh (Assistant Professor, Department of Mathematics, Post-Graduate College, Uttar Pradesh, India)

Dr. Harendra Singh is an Assistant Professor in the Department of Mathematics, Post-Graduate College, Uttar Pradesh, India. He received his Ph.D. in Mathematics from Indian Institute of Technology (BHU), Varanasi, India. He has qualified GATE, JRF and NBHM in Mathematics. He is also awarded by post-doctoral fellowship (PDF) in Mathematics from National Institute of Science Education and Research (NISER) Bhubaneswar Odisha, India. He teaches real and complex analysis, functional analysis, Abstract Algebra and measure theory in post-graduate level courses in mathematics. His research areas of interest include Mathematical Modelling, Fractional Differential Equations, Integral Equations, Calculus of Variations, Analytical and Numerical Methods. His works have been published in Applied Mathematics and Computations, Applied Mathematical Modelling, Chaos Solutions & Fractals, Numerical Methods for Partial Differential Equations, Physica A, Astrophysics and Space Science, Electronic Journal of Differential Equations, Few Body-system and several other peer-reviewed international journals. He is Editor of Methods of Mathematical Modelling: Fractional Differential Equations and Topics in Integral and Integro-Differential Equations: Theory and Applications, both from Springer. Hari Mohan Srivastava works in the Department of Mathematics at University of Victoria, Victoria, British Columbia, BC, Canada Dumitru Baleanu is a professor at the Institute of Space Sciences, Magurele-Bucharest, Romania and a visiting staff member at the Department of Mathematics, Cankaya, University, Ankara, Turkey. He received his Ph.D. from the Institute of Atomic Physics in 1996. His fields of interest include Fractional Dynamics and its applications, Fractional Differential Equations and their applications, Discrete Mathematics, Image Processing, Bioinformatics, Mathematical Biology, Mathematical Physics, Soliton Theory, Lie Symmetry, Dynamic Systems on time scales, Computational Complexity, the Wavelet Method and its applications, Quantization of systems with constraints, the Hamilton-Jacobi Formalism, as well as geometries admitting generic and non-generic symmetries.

Table of Contents

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 Archana Singh Bhadauria and Hom Nath Dhungana 2. Numerical methods applied to a class of SEIR epidemic models described by the Caputo derivative 23 Ndolane Sene 3. Mathematical model and interpretation of crowding effects on SARS-CoV-2 using Atangana-Baleanu fractional operator Rupakshi Mishra Pandey, Ankita Chandola and Ritu Agarwal 4. Analysis for modified fractional epidemiological model for computer viruses Harendra Singh, C.S. Singh, Jogendra Kumar and Mayank Srivastava 5. Analysis of e-cigarette smoking model by a novel technique Ali Akgkul and Esra Karatas Akgkul 6. Stability analysis of an unhealthy diet model with the effect of antiangiogenesis treatment Anusmita Das, Kaushik Dehingia, and Vishnu Narayan Mishra 7. Analysis of the spread of infectious diseases with the effects of consciousness programs by media using three fractional operators P. Veeresha 8. Modeling and analysis of computer virus fractional order model Muhammad Farman, Ali Akgkul, Aqeel Ahmad, Muhammad Umer Saleem, and M.O. Ahmad 9. Stochastic analysis and disease transmission Anwarud Din and Yongjin Li 10. Analysis of the Adomian decomposition method to estimate the COVID-19 pandemic Garima Agarwal, Man Mohan, Athira M. Menon, Amit Sharma, Tikam Chand Dakal, and Sunil Dutt Purohit 11. Study of a COVID-19 mathematical model Tariq Hussain, Eiman, Hayat Ullah, Khalid Mahmood, Muhammad Arfan, Rozi Gul, and Kamal Shah

Additional information

NGR9780323998888
9780323998888
0323998887
Methods of Mathematical Modelling: Infectious Diseases by Harendra Singh (Assistant Professor, Department of Mathematics, Post-Graduate College, Uttar Pradesh, India)
New
Paperback
Elsevier Science & Technology
2022-06-14
236
N/A
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