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Book Cover
E-book
Author Mishra, Jyoti

Title Mathematical Modeling and Soft Computing in Epidemiology
Published Milton : Taylor & Francis Group, 2021

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Description 1 online resource (441 p.)
Series Information Technology, Management and Operations Research Practices Ser
Information Technology, Management and Operations Research Practices Ser
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 -- 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 -- Chapter 2 Fuzzy-Genetic Approach to Epidemiology -- 2.1 Introduction -- 2.2 Genetic Epidemiology and Topology -- 2.3 Unequal Crossover -- 2.4 Mathematical Background -- 2.4.1 Fuzzy Sets -- 2.4.2 Fuzzy Pretopology -- 2.5 Fuzzy Topological Properties of Recombination Space -- 2.5.1 Mathematical Definition of Recombination Sets -- 2.5.2 Unrestricted Unequal Crossover -- 2.5.3 Fuzzy Pretopology in a Recombination Space -- 2.5.4 Separation Properties -- 2.5.5 Lindelofness and Compactness -- 2.5.6 Connectedness -- 2.6 Conclusion -- References
Chapter 3 Role of Mathematical Models in Physiology and Pathology -- 3.1 Introduction -- 3.2 Role of Mathematical Models in the Study of Brain Injury Problems -- 3.3 Mathematical Modeling for Blood Flow in Human Artery/Vein -- 3.4 Conclusion -- References -- Chapter 4 Machine-Learned Regression Assessment of the HIV Epidemiological Development in Asian Region -- 4.1 Introduction -- 4.2 Mathematical Development of the HIV Epidemiology -- 4.2.1 Techniques Implemented for Analysis -- 4.2.1.1 Study of Phase Dynamics -- 4.2.1.2 Distribution Fitting
4.2.1.3 Goodness of Fit, Histogram, and Density Function -- 4.2.1.4 Coefficient of Determination (R[sup(2)]) -- 4.2.1.5 Kolmogorov-Smirnov Test -- 4.2.2 Analysis of Machine-Learned Regression Models -- 4.2.2.1 L-1 Norm Regression-Learned Model -- 4.2.2.2 Logistic Regression-Learned Model -- 4.2.2.3 Poisson Regression-Learned Model -- 4.2.3 Inferences of Multifaceted Epidemiological System -- 4.3 Conclusion -- Acknowledgment -- References -- Chapter 5 Mathematical Modeling to Find the Potential Number of Ways to Distribute Certain Things to Certain Places in Medical Field -- 5.1 Introduction
5.2 Real-Life Application of Mathematical Modeling of the Real-Life Situation Using Our Double Twin Domination Number of a Graph in Medical Field -- 5.3 Double Twin Domination Number of Derived Graphs and Special Type of Graphs -- 5.4 Conclusion -- References -- Chapter 6 Fractional SIRI Model with Delay in Context of the Generalized Liouville-Caputo Fractional Derivative -- 6.1 Introduction -- 6.2 Fractional Calculus Tools and Stability Notions -- 6.3 Presentation of SIRI Epidemic Model and Characteristics Numbers -- 6.4 Existence and Uniqueness of the SIRI Model with Delay
Notes Description based upon print version of record
6.5 Stability of the SIRI Equation with Delay
Form Electronic book
Author Agarwal, Ritu
Atangana, Abdon
ISBN 9781000226942
1000226948