Mathematical Modeling and Soft Computing in Epidemiology

Jyoti Mishra, Ritu Agarwal, Abdon Atangana, Jyoti Mishra, Ritu Agarwal, Abdon Atangana

• Publisher: CRC Press
• Year: 2020
• Print ISBN: 9780367903053
• eBook ISBN: 9781000226980
• Edition: 1
• Topic: Mathematics
• Subtopic: Cloud Computing
• Index: Mathematics

This book describes the uses of different mathematical modeling and soft computing techniques used in epidemiology for experiential research in projects such as how infectious diseases progress to show the likely outcome of an epidemic, and to contribute to public health interventions.

This book covers mathematical modeling and soft computing techniques used to study the spread of diseases, predict the future course of an outbreak, and evaluate epidemic control strategies. This book explores the applications covering numerical and analytical solutions, presents basic and advanced concepts for beginners and industry professionals, and incorporates the latest methodologies and challenges using mathematical modeling and soft computing techniques in epidemiology.

Primary users of this book include researchers, academicians, postgraduate students, and specialists.

1 Evolutionary Modeling of Dengue Fever with Incubation Period of Virus

Javaid Ali

University of Management and Technology

Muhammad Bilal Riaz

University of Management and Technology

University of the Free State

Abdon Atangana

University of the Free State

Muhammad Saeed

University of Management and Technology

CONTENTS

1.1 Introduction

1.2 Basic Notions

1.2.1 Padé Approximation

1.2.2 Non-Stagnated Nelder–Mead Simplex Algorithm (NS-NMSA)

1.2.3 Differential Evolution (DE)

1.3 Model of Dengue Disease with Incubation Period of Virus

1.3.1 Steady States of the Model

1.3.2 Sensitivity of Basic Reproductive Number

1.4 The Proposed DCMP Framework

1.5 Results and Discussions

1.6 Conclusion

References

1.1 Introduction

Aedes mosquitoes predominantly cause the transmission of Dengue virus. These mosquitoes generally dwell in the areas with and elevation below 1,000 m (3,300 ft.) and having latitudes within 35° South and 35° North. Early morning and evening hours are two typical timings at which Aedes mosquitoes are more likely to bite. However, they can possibly bite at other day timings, and hence, a spread of infection may occur. The reports of World Health Organization (WHO) (2012) disclose that around 390 million sufferers from dengue disease do exist around the globe and 96 million necessitate medical treatment. About 500,000 victims of the severest category of dengue hemorrhagic fever require hospitalization every year. About 40% of the population of the world live in dengue-prevalent regions.

In line with the WHO assessments, approximately 22,000 deaths take place each year, involving a notable number of children. Dengue disease is an ancient dise...

Table of contents

• Cover
• Half Title
• Series Page
• Title Page
• Copyright Page
• Table of Contents
• Preface
• Editors
• Contributors
• Chapter 1 Evolutionary Modeling of Dengue Fever with Incubation Period of Virus
• Chapter 2 Fuzzy-Genetic Approach to Epidemiology
• Chapter 3 Role of Mathematical Models in Physiology and Pathology
• Chapter 4 Machine-Learned Regression Assessment of the HIV Epidemiological Development in Asian Region
• Chapter 5 Mathematical Modeling to Find the Potential Number of Ways to Distribute Certain Things to Certain Places in Medical Field
• Chapter 6 Fractional SIRI Model with Delay in Context of the Generalized Liouville–Caputo Fractional Derivative
• Chapter 7 Optimal Control of a Nipah Virus Transmission Model
• Chapter 8 Application of Eternal Domination in Epidemiology
• Chapter 9 Numerical Analysis of Coupled Time-Fractional Differential Equations Arising in Epidemiological Models
• Chapter 10 Balancing of Nitrogen Mass Cycle for Healthy Living Using Mathematical Model
• Chapter 11 Neutralizing of Nitrogen when the Changes of Nitrogen Content Is Rapid
• Chapter 12 Application of Blockchain Technology in Hospital Information System
• Chapter 13 Complexity Analysis of Pathogenesis of Coronavirus Epidemiological Spread in the China Region
• Chapter 14 A Mathematical Fractional Model to Study the Hepatitis B Virus Infection
• Chapter 15 Nonlinear Dynamics of SARS-CoV2 Virus: India and Its Government Policy
• Chapter 16 Ethical and Professional Issues in Epidemiology
• Chapter 17 Cloud Virtual Image Security for Medical Data Processing
• Chapter 18 Medical Data Security Using Blockchain and Machine Learning in Cloud Computing
• Chapter 19 Mathematical Model to Avoid Delay Wound Healing by Infinite Element Method
• Chapter 20 Data Classification Framework for Medical Data through Machine Learning Techniques in Cloud Computing
• Index