1st Edition

Mathematical and Computational Modelling of Covid-19 Transmission

Edited By Mandeep Mittal, Nita H. Shah Copyright 2024
    336 Pages 139 Color & 2 B/W Illustrations
    by River Publishers

    336 Pages 139 Color & 2 B/W Illustrations
    by River Publishers

    Infectious diseases are leading threats and are of highest risk to the human population globally. Over the last two years, we saw the transmission of Covid-19. Millions of people died or were forced to live with a disability. Mathematical models are effective tools that enable analysis of relevant information, simulate the related process and evaluate beneficial results. They can help to make rational decisions to lead toward a healthy society. Formulation of mathematical models for a pollution-free environment is also very important for society. To determine the system which can be modelled, we need to formulate the basic context of the model underlying some necessary assumptions. This describes our beliefs in terms of the mathematical language of how the world functions.

    This book addresses issues during the Covid phase and post-Covid phase. It analyzes transmission, impact of coinfections, and vaccination as a control or to decrease the intensity of infection. It also talks about the violence and unemployment problems occurring during the post-Covid period. This book will help societal stakeholders to resume normality slowly and steadily.

    1. Mathematical Modelling of COVID-19 Dynamics with Reinfection using Fractional Order

    2. Stability Analysis of Caputo–Fabrizio Fractional-order Epidemic Model of  a Novel Coronavirus (COVID-19)

    3. Impact Of Vaccination on COVID-19 to Control its Spread: A Case Study of India

    4. A Computational Approach for Regulation of Biomedical Waste Expulsion in a Novel Corona Virus Pandemic

    5. Solution of Fractional-Order Pneumonia-COVID-19 Co-infection

    6. Optimal Control to Curtail the Spread Of COVID-19 through Social Gatherings: A Mathematical Model

    7. Effectiveness of Booster Dose of COVID-19 Vaccine

    8. Impact of Post-COVID-19 Pandemic on Quality Education among School and College Students

    9. A Mathematical Model the Dynamics of the Violence Epidemic Spreading due to Misinformation

    10. Diseased Predator-Prey Model Incorporating Herd Behaviour in Prey: A Study Under an Alternative Food Source Scenario

    11. A COVID-19-related Atangana–Baleanu Fractional Model for Unemployed Youths

    12. A Fractional-Order SVIR Model with Two Infection Classes for COVID-19 in India

    13. Forecasting of a Covid-19 Model Using LSTM

    14. Simulation Of COVID-19 Cases In India Using AR And ANN Models


    Dr. Mandeep Mittal started his career in the education industry in 2000 with the Amity Group. Currently, he is working as Head and Associate Professor in the Department of Mathematics, Amity Institute of Applied Sciences, Amity University Uttar Pradesh, Noida. He earned his post doctorate from Hanyang University, South Korea, 2016, Ph.D. (2012) from the University of Delhi, India, and postgraduation in Applied Mathematics from IIT-Roorkee, India (2000). He has published more than 70 research papers in International Journals and International conferences. He authored one book with Narosa Publication on C language and edited five research books with IGI Global and Springer. He is a series editor of Inventory Optimization, Springer Singapore Pvt. Ltd. He was awarded Best Faculty Award by the Amity School of Engineering and Technology, New Delhi for the year 2016–2017. He guided four Ph.D. scholars, and six students working with him in the area inventory control and management. He also served as Dean of Students Activities at Amity School of Engineering and Technology, Delhi, for nine years, and worked as Head, Department of Mathematics in the same institute for one year. He is a member of editorial boards of Revista Investigacion Operacional, Journal of Control and Systems Engineering and Journal of Advances in Management Sciences and Information Systems. He has actively participated as a core member of organizing committees of international conferences in India and outside India.

    Professor Nita H. Shah received her Ph.D. in Statistics from Gujarat University in 1994. She is Head of Department of the Department of Mathematics in Gujarat University, India. She is Postdoctoral Visiting Research Fellow of the University of New Brunswick, Canada. Professor Nita’s research interests include inventory modeling in supply chain, robotic modeling, mathematical modeling of infectious diseases, image processing, dynamical systems and its applications. She has completed 3 UGC sponsored projects and has published 13 monographs, 5 textbooks and 475+ peer-reviewed research papers. Five edited books have been prepared for IGI Global and Springer with co-editor Dr. Mandeep Mittal. Her papers are published in high impact Elsevier, Inderscience, Springer, and Taylor and Francis journals. Google Scholar, shows citations of over 3795 and the maximum number of citations for a single paper is over 207. The H-index is 27 up to August 16, 2022 and i-10 index is 97. She has guided 28 Ph.D. students and 15 M.Phil. students. She has travelled in USA, Singapore, Canada, South Africa, Malaysia and Indonesia to give talks.