Mathematical Analysis II: Optimisation, Differential Equations and Graph Theory: ICRAPAM 2018, New Delhi, India, October 23–25 (Springer Proceedings in Mathematics & Statistics (307))

Dedicated to Professor Niranjan Singh
Preface
Contents
About the Editors
Exact Solution for Mixed Integral Equations by Method of Bernoulli Polynomials
	1 Introduction
	2 Bernoulli Polynomial Method
	3 Matrix Representation of Bernoulli Polynomial
	4 Method of Solution for Mixed Volterra–Fredholm Integral Equation of Second Kind
	5 Algorithm of Bernoulli Polynomial Method
	6 Numerical Examples
	7 Conclusion and Result
	References
Turing Patterns in a Cross Diffusive System
	1 Introduction
	2 Model Formulation
	3 Stability Analysis
		3.1 Temporal Model
		3.2 Model with Self Diffusion
		3.3 Model with Self Diffusion and Cross Diffusion
	4 Numerical Simulations
	5 Conclusion
	References
On Multi-objective Optimization Problems and Vector Variational-Like Inequalities
	1 Introduction
	2 Preliminaries
	3 Main Results
	4 Conclusions
	References
Controllability of Semilinear Control Systems with Fixed Delay in State
	1 Introduction
	2 Preliminaries
	3 Main Results
	4 Application
	References
Computational Performance of Server Using the Mx/M/1 Queue Model
	1 Introduction
	2 Notations and Mathematical Description
		2.1 Notations
		2.2 Mathematical Model
	3 Numerical Approach
	4 Conclusion
	References
Quantum Codes from the Cyclic Codes Over mathbbFp[v,w]/langlev2-1,w2-1,vw-wvrangle
	1 Introduction
	2 Preliminary
	3 Linear Codes Over R
	4 Cyclic Codes Over R
	5 Quantum Codes Over mathbbFp
	6 Conclusion
	References
Effect of Sterile Insect Technique on Dynamics of Stage-Structured Model Under Immigration
	1 Introduction
	2 Mathematical Model Formulation
	3 Dynamical Behaviour
		3.1 Boundedness of Model
		3.2 Equilibrium Points
	4 Conclusion
	References
Strict Practical Stability of Impulsive Differential System in Terms of Two Measures
	1 Introduction
	2 Preliminaries
	3 Main Section
	4 Conclusion
	References
Free Vibration Analysis of Rigidly Fixed Axisymmetric Viscothermoelastic Cylinder
	1 Introduction
		1.1 Formulation of Problem
	2 Boundary Conditions
		2.1 Solution of Mathematical Problem
	3 Series Solution
	4 Dispersion Relations
		4.1 Deduction of Results
	5 Numerical Results and Discussion
	6 Conclusion
	References
Study on a Free Boundary Problem Arising in Porous Media
	1 Introduction
	2 Flow Problem
	3 Solution of the Problem
	4 Concluding Remarks
	References
Effect of Habitat on Dynamic of Native and Exotic Prey–Predator Population
	1 Introduction
	2 Biological Background
	3 Mathematical Model
	4 Boundedness
	5 Basic Feasible Equilibrium Points
	6 Local Stability Analysis
	7 Global Stability
	8 Numerical Example
	9 Conclusion
	References
On Cliques and Clique Chromatic Numbers in Line, Lict and Lictact Graphs
	1 Introduction
	2 Main Results
	References
Friendship-Like Graphs and It\'s Classiffication
	1 Introduction
	2 Main Results
		2.1 Friendship-Like Graphs
	3 Conclusion
	References
Chaotic Maps: Applications to Cryptography and Network Generation for the Graph Laplacian Quantum States
	1 Introduction
	2 Analysis of Chaotic Maps
	3 Modelling of One-Dimensional Chaotic Map into Networks
	4 Quantum States
	5 Conclusion
	References
Consumer Behaviour Analysis for Purchasing a Passenger Car in Indian Context
	1 Introduction
	2 Problem Statement and Data Collection
	3 Methodology
		3.1 Crosstab Analysis
		3.2 AHP
		3.3 TOPSIS
	4 Illustration
		4.1 Crosstab Analysis
		4.2 AHP
		4.3 TOPSIS
	5 Conclusion
	References
A New Hybrid Model Based on Triple Exponential Smoothing and Fuzzy Time Series for Forecasting Seasonal Time Series
	1 Introduction
	2 Triple Exponential Smoothing
	3 Basic Notions of Fuzzy Time Series
	4 The Proposed Hybrid Model
	5 Numerical Results
	6 Conclusion
	References
New Fuzzy Divergence Measure and Its Applications in Multi-criteria Decision-Making Using New Tool
	1 Introduction
	2 Preliminaries
		2.1 Information Measures
		2.2 Divergence Measures
		2.3 Fuzzy Set Theory
		2.4 Fuzzy Divergence Measures
	3 Proposed Generalized Fuzzy Divergence Measure
	4 Series of Fuzzy Divergence Measure
		4.1 Some New Other Fuzzy Divergence Measures
	5 Application of New Fuzzy Divergence Measure in Multi-criteria Decision-Making
		5.1 Numerical Illustration
		5.2 Comparison with the TOPSIS Method
		5.3 Numerical Illustration
	6 Conclusion
	References
An SIRS Age-Structured Model  for Vector-Borne Diseases with Infective Immigrants
	1 Introduction
	2 The SIRS Model Formulation
	3 Feasibility of Solution
	4 Existence of Equilibrium Points
		4.1 Disease-Free Equilibrium Point
		4.2 Endemic Equilibrium Point
	5 Basic Reproduction Number R0
	6 Local Stability Analysis of the Equilibrium Points
	7 Numerical Simulation
	8 Conclusion
	References
Numerical Study of Conformable Space and Time Fractional Fokker–Planck Equation via CFDT Method
	1 Introduction
	2 Preliminaries
		2.1 Description of CFDTM
	3 Analytical Study of Conformable Fractional Fokker–Planck Equation
	4 Conclusion
	References
Multispectral Bayer Color Image Encryption
	1 Introduction
	2 Review of Literature Survey
		2.1 Multispectral Color Image and Bayer Image
		2.2 Elliptic Curve Cryptography for Images
		2.3 Generalized Arnold Transformation for Images
	3 Proposed Model for Image Encryption and Decryption
		3.1 Image Encryption Procedure
		3.2 Image Decryption Procedure
	4 Security Analysis and Experimental Results
		4.1 Statistical Analysis
		4.2 Numerical Analysis
	5 Conclusions
	References
Investigation of Prospective Elementary Teachers’ Opinions About Problem Concept
	1 Introduction
		1.1 What Is a Problem?
		1.2 Problem-Solving and Process of Problem-Solving
		1.3 Nonroutine Problems
		1.4 Importance of the Study
	2 Method
		2.1 Sample
		2.2 Instruments
		2.3 Reliability and Validity
	3 Results
		3.1 What Is a Problem?
		3.2 Types of Problem
		3.3 Conditions of Being Problem
		3.4 Problem-Solving Steps of Polya
		3.5 Right/Wrong Items
		3.6 Multiple-Choice Items
	4 Discussion and Conclusion
	References