Mathematical Modelling and Computational Intelligence Techniques: ICMMCIT-2021, Gandhigram, India February 10–12

Preface
Acknowledgements
About This Book
Contents
About the Editors
Mathematical Modelling
Application of Optimal Controls on Dengue Dynamics—A Mathematical Study
	1 Introduction
	2 Mathematical Formulation and Its Description
		2.1 Positivity and Boundedness of the System
	3 Model Analysis
		3.1 Endemic Equilibrium Point Existence
	4 Sensitivity Analysis
	5 Optimal Control Analysis
	6 Discussion and Conclusion
	References
Did the COVID-19 Lockdown in India Succeed? A Mathematical Study
	1 Introduction
	2 COVID-19 Lockdown: Indian Scenario
	3 Methodology
		3.1 Model Formulation
		3.2 The Basic Reproduction Number
		3.3 Data Collection and Model Fitting
	4 Results
	5 Discussion
	6 Conclusion
	7 Appendix 1
	8 Appendix 2
	References
Tumour Growth and Its Treatment Response Delineate with Mathematical Models
	1 Introduction
	2 Tumour Growth Treatment Model
	3 Stability Analysis
		3.1 Qualitative Analysis of Hahnfeldt Et. Al. Model and Modified Hahnfeldt Model Without Treatment
		3.2 Result and Discussion
	4 Numerical Simulation
		4.1 Root Mean Square Error
	5 Conclusion
	References
A Computational Approach to the Three-Body Coulomb Problem: Positron Scattering from Atomic Systems
	1 Introduction
	2 Optical Potential Formalism
	3 Computational Details
		3.1 Computational Details of the Optical Potentials
		3.2 Numerical Solutions of Lippmann–Schwinger Equations
		3.3 Convergence of the Cross Section
		3.4 An Overview of the Coupled-Channel Optical Method (CCOM) Computational Codes
	4 Results
	5 Conclusion
	References
Common Best Proximity Points for Some Contractive Type Mappings
	1 Introduction
	2 Preliminaries
	3 Main Results
	4 Conclusion
	References
Dynamical Analysis of Conformable Fractional-Order Rosenzweig-MacArthur Prey–Predator System
	1 Introduction
	2 Preliminaries and System Description
		2.1 Preliminaries
		2.2 System Description
	3 Dynamical Behavior of the System
		3.1 Existence and Uniqueness of the Solution
		3.2 Non-negativity and Boundedness
	4 Equilibrium Points and Stability Analysis
		4.1 Equilibrium Points
		4.2 Stability Analysis
	5 Numerical Example
	References
Computation of Probabilities of Mixed Poisson–Weibull Distribution
	1 Introduction
	2 Mixed Poisson Distributions
		2.1 Negative Binomial, Poisson–Inverse Gaussian, and Poisson–Lognormal Distributions
		2.2 The Poisson–Weibull Distribution
	3 Computation of Poisson–Weibull Probabilities
		3.1 Alternating Series Formula for Poisson–Weibull Probabilities
		3.2 Monte Carlo Simulation Technique
		3.3 Application of the Computational Approaches
	4 Parameter Estimation
	5 Applications
	6 Concluding Remarks
	References
Cost of Energy for Distributed Energy Resources-Based Power Generation in a Rural Microgrid: Impact of Controlling Parameters
	1 Introduction
	2 Study Area
	3 Load Assessment
	4 Resource Estimation
	5 Formulating the Problem
	6 Results and Discussion
	7 Conclusion
	References
Image Processing
Adaptive Learning Rate-Based Convolutional Neural Network Models for Brain Tumor Images Classification
	1 Introduction
	2 Learning Rate
		2.1 Scheduling Learning Rate
		2.2 Adaptive Learning Rate
	3 Materials and Metrics
	4 Methodology and Experimental Results
		4.1 Data Preprocessing
		4.2 Adaptive CNN Models Development
	5 Conclusion and Future Enhancements
	1. References
Extended Discrete Cosine Transform
	1 Introduction
	2 Discrete Cosine Transform
	3 The Proposed Method
	4 Image Metrics
	5 Performance Evaluation Metrics
	6 Results and Discussion
		6.1 Lena Image
		6.2 Mandrill Image
		6.3 Peppers Image
		6.4 Boat Image
		6.5 Computing Time
	7 Conclusions
	References
Image Reconstruction from Geometric Moments via Cascaded Digital Filters
	1 Introduction
	2 Proposed Method
		2.1 Inverse Coefficient Matrix
		2.2 Subtractor Circuit
	3 Experimental Results and Discussion
		3.1 Image Reconstruction from Geometric Moments
		3.2 Reconstruction Error and CPU Elapsed Time
	4 Conclusion
	References
Background Preserved and Feature-Oriented Contrast Improvement Using Weighted Cumulative Distribution Function for Digital Mammograms
	1 Introduction
		1.1 HE Partition-Based Methods
		1.2 Adaptive Histogram Equalization (AHE) and Its Variants
		1.3 Unsharp Masking (UM)-Based Methods
	2 The Proposed Background Preserved and Feature-Oriented Contrast Improvement (BPFO-CI) Method
		2.1 Implementation Mechanism of BPFO-CI
		2.2 Algorithm for Background Preserved and Feature-Oriented Contrast Improvement Using Weighted Cumulative Distribution Function
	3 The Experimental of BPFO-CI
		3.1 Results and Discussion
	4 Conclusion
	References
Control Theory and Its Applications
Finite-Time Passification  of Fractional-Order Recurrent Neural Networks with Proportional Delay and Impulses: An LMI Approach
	1 Introduction
	2 Model Description
	3 Basic Results and Definitions
	4 Theoretical Results
		4.1 Analysis for FONNs Without Impulses
		4.2 Analysis for FONNs with Impulses
	5 Numerical Simulations
	6 Conclusion and Future Directions
	References
Synchronization of Delayed Fractional-Order Memristive BAM Neural Networks
	1 Introduction
	2 System Formulation and Preliminaries
	3 Main Results
	4 Illustrative Example
	5 Conclusion
	References
Graphs and Networks
r-Dynamic Chromatic Number of Extended Neighborhood Corona of Complete Graph with Some Graphs
	1 Introduction
	2 Preliminaries
	3 Results
	4 Conclusion
	References
Corona Domination Number of Graphs
	1 Introduction
	2 Characterization of Corona Domination Number of a Graph
	3 Corona Domination Number for Some Standard Graphs
	4 Conclusion
	References
An AHP-Based Unmanned Aerial Vehicle Selection for Data Collection in Wireless Sensor Networks
	1 Introduction
	2 Motivation
	3 Related Works
	4 Proposed Technique
		4.1 AHP-Based Mobile Sink Selection Technique
	5 Implementation Details
		5.1 Virtual Grid-Based Geographic Routing-AHP Technique
		5.2 Multiple Ring-Based Nested Routing-AHP Technique
	6 Performance Analysis
		6.1 Performance Analysis on Energy Consumption
		6.2 Performance Analysis on Average Delay
		6.3 Performance Analysis on Packet Delivery Ratio
	7 Statistical Analysis of the Proposed Techniques
		7.1 Two-Tailed Test
	8 Conclusion
	References
On the Characteristic Polynomial  of the Subdivision-Vertex Join of Graphs
	1 Introduction
	2 Adjacency Characteristic Polynomial
	3 Laplacian Characteristic Polynomial
	4 Signless Laplacian Characteristic Polynomial
	5 Conclusion
	References
Genus and Book Thickness of the Inclusion Ideal Graph of a Ring
	1 Introduction
	2 Preliminaries
	3 Genus of In(R)
	4 Crosscap of In(R)
	5 Book Thickness of In(R)
	6 Conclusion
	References
Inventory Control
An EOQ Inventory Model with Shortage Backorders and Incorporating a Learning Function in Fuzzy Parameters
	1 Introduction
	2 Review of Basic Concepts
		2.1 Fuzzy Numbers
		2.2 Arithmetic Operations on Fuzzy Numbers
		2.3 Defuzzification of Fuzzy Numbers
		2.4 Wright's Learning Function
	3 Formulation of Fuzzy Model and Its Solution Procedure
	4 Impact of Wright's Learning Function on Fuzzy Input Parameters
		4.1 Case-1: 0
		4.2 Case-2: 0
	5 Numerical Examples
	6 Sensitivity Analysis
	7 Conclusion
	References
A Comparison Between Fuzzy and Intuitionistic Fuzzy Optimization Technique for Profit and Production of Crops in Ariyalur District
	1 Introduction
	2 Study Area and Crops
	3 Fuzzy Optimization Technique
		3.1 Computational Algorithm
		3.2 Notations
	4 Intuitionistic Fuzzy Optimization Technique
		4.1 Algorithm
	5 Problem Illustration
	6 Conclusion
	References