This book provides a comprehensive understanding practical for studying the mechanisms of disease spread and evaluating strategies for controlling an epidemic using Mathematical Modeling and Soft Computing approaches. This edition covers several subjects consisting of Epidemiology, Mathematical Models, Soft Computing, Mathematical Biology in general, Applications of Mathematics, Biology, Chemistry, and Medicine. The presence of this book opens up great opportunities for researchers and industrial practitioners as well as students who are interested in related topics to understand the theoretical and practical concepts of Mathematical Modeling and Soft Computing.
This book consists of 20 chapters that collect a number of study topics from various authors. Javaid Ali et al. in chapter 1 discuss the topic of Evolutionary Modeling of Dengue Fever with Incubation Period of Virus. In general, the authors explain how to predict and analyze the dynamics of the spread of the dengue fever virus numerically, so that it is easy to understand. Chapter 2 written by Minakshi Biswas Hathiwala et al. discusses the topic of Fuzzy-Genetic Approach to Epidemiology. In this chapter, the authors examine the mathematical description of the fuzzy recombination function of chromosomes for molecular evaluation in handling epidemiological cases. Saktipada Nanda and Biswadip Basu Mallik in chapter 3 discuss the topic of the Role of Mathematical Models in Physiology and Pathology. In particular, this chapter describes the role of mathematical models in the study of brain injury problems and mathematical modeling of blood flow in human arteries/veins. Chapter 4 by Rashmi Bhardwaj and Aashima Bangia discusses the topic of machine-learned regression assessment of the HIV epidemiological development in the Asian region. The authors examine in more depth the techniques applied for data analysis with mathematical models such as the coefficient of determination and the Kolmogorov-Smirnov test. Chapter 5 by G. Mahadevan et al. explain the topic of mathematical modeling to find the potential number of ways to distribute certain things to certain places in the medical field. This chapter consists of two topics that include real-life application of mathematical modeling in the medical field and Double Twin Domination Number of Derived Graphs and Special Type of Graphs.
The topic of discussion in chapter 6 by Ndolane Sene is the fractional SIRI model with delay in the context of the generalized Liouville-Caputo fractional derivative. In general, this chapter thoroughly discusses a number of mathematical formulas used to solve fractional SIRI model problems. Chapter 7 by Prabir Panja and Ranjan Kumar Jana discusses topics related to optimal control of a transmission model of a Nipah virus. In this chapter, the authors examine further the model of the Nipah virus transmission in human populations. The theoretical and numerical results from this chapter provide insight into explaining strategies to reduce transmission of the Nipah virus from humans. Chapter 8 by G. Mahadevan et al. focuses on discussing the application of eternal domination in epidemiology. In general, the authors elaborate this chapter very briefly, concisely, and clearly, covering real-life applications, eternal domination number of standard graphs, and eternal domination number of some product related graphs. Chapter 9 by Manish Goyal et al. and chapter 10 by Suresh Rasappan and Kala Raja Mohan, each of which discusses topics related to numerical analysis of coupled time-fractional differential equations arising in epidemiological models and balancing of nitrogen mass cycle for healthy living using mathematical models. Chapter 9 is studied further to study the concept of basic plan of HPTM for coupled FDE in epidemic models, while chapter 10 focuses on studying the mathematical model of nitrogen mass cycle and mathematical properties of the deterministic model and nondeterministic stability.
Chapter 11 was written by Suresh Rasappan and Kala Raja Mohan with the topic neutralizing of nitrogen when the changes of nitrogen content is rapid. In our opinion, the interesting sub-topic discussed in this chapter is Boundedness of the Nitrogen Mass Cycle with Exponential Growth with Global Stability Analysis of Nitrogen Mass Cycle with Exponential Growth by Pseudo-Back-Propagation. Deepa Elangovan et al. in chapter 12 discuss topics related to Application of Blockchain Technology in Hospital Information Systems (HIS). This chapter helps researchers and practitioners to be better understand the blockchain technology and HIS in the healthcare sector. Chapter 13 by Rashmi Bhardwaj et al. discusses the topic of complexity analysis of pathogenesis of coronavirus epidemiological spread in the China region. The topic discussed in chapter 14 is a mathematical fractional model to study the hepatitis B virus infection. Ritu Agarwal et al. wrote this chapter by studying in more detail the fractional model, solution of the HBV infection model and convergence analysis. Aditya Mani Mishra et al. in chapter 15 discuss the topic of nonlinear dynamics of SARS-CoV2 virus: India and its government policy. The authors further examine the preventive measures taken by the Government of India to combat coronavirus using a numerical approach.
Manoj Dubey et al. wrote chapter 16 on the topic of ethical and professional issues in epidemiology. This chapter focuses on explaining ethical and professional issues in epidemiology based on theory for the development of applicable values. Chapter 17 by Shiv Kumar Tiwari et al. focuses on the soft computing field with the topic of cloud virtual image security for medical data processing. The authors explain virtual image security applicatively by providing cloud virtual image security for medical data processing. Furthermore, Deepak Singh Rajput et al. in chapter 18 also focus on the soft computing field with the topic of medical data security using blockchain and machine learning in cloud computing. Manisha Jain et al. in chapter 19 explain the concept of a mathematical model to avoid delayed wound healing by infinite element method. Chapter 20 was written by Saurabh Sharma et al. with the topic of data classification framework for medical data through machine learning techniques in cloud computing. This chapter focuses on discussing the application of mathematical models and computational techniques in analyzing data classification frameworks for medical data.
This book is equipped with case studies, colored illustrations and conclusions, which make this book perfect and help readers understand each concept better. We are sure that this book will become a reference source that will continue needed in developing the quality of related research in the future. Without hesitation, we highly recommend this book for undergraduate and postgraduate students, researchers, academicians and industry practitioners as a source of information for studying and understanding the concepts of mathematical modeling and soft computing. Finally, we would like to give our deepest appreciation to every author, editor, and publisher who contributed to the writing and publication of this book series. The existence of mathematical modeling and soft computing in the development of science and technology will continue needed to improve the quality of research in various scientific disciplines.
Faculty of Biology, Universitas Gadjah Mada, Indonesia
Tamalia
Faculty of Biology, Universitas Gadjah Mada, Indonesia
Hesti Indriani
Faculty of Biology, Universitas Gadjah Mada, Indonesia
Suprianto
Faculty of Biology, Universitas Gadjah Mada, Indonesia
[email protected]
Acknowledgments
We would like to thank the Educational Fund Management Institution of Indonesia (Lembaga Pengelola Dana Pendidikan/LPDP) for supporting the publication of this review.