Frontiers in Mathematical Modelling Research

$230.00$274.00

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Series
: Mathematics Research Developments
BISAC: MAT003000; MAT003000
DOI: https://doi.org/10.52305/VLST3329

Mathematical modeling is the process of trying to precisely define a non-mathematical situation, real-life phenomena of changing world and the relationships between the situations in the language of mathematics, and finding out mathematical formulations or patterns within these situations and phenomena.  Mathematical modeling in terms of nonlinear dynamic equations is described as a conversion activity of real problems in a mathematical form. The interactions between the mathematical and biological sciences have been increasing rapidly in recent years. Both traditional topics, such as population and disease modeling, and new ones, such as those in genomics arising from the accumulation of DNA sequence data, have made mathematical modeling in biomathematics an exciting field. The best predictions of numerous individuals and scientific communities have suggested that this growing area will continue to be one of the most dominating and fascinating driving factors to capture the global change phenomena and design a sustainable management for a better world.

Frontiers in Mathematical Modelling Research provides the most recent and up-to-date developments in the mathematical analysis of real world problems arising in engineering, biology, economics, geography, planning, sociology, psychology, medicine and epidemiology of infectious diseases. Mathematical modeling and analysis are important, not only to understand disease progression, but also to provide predictions about the evolution of the disease and insights about the dynamics of the transmission rate and the effectiveness of control measures. One of the main focuses of the book is the transmission dynamics of emerging and re-emerging infectious diseases and the implementation of intervention strategies. It also discusses optimal control strategies like pharmaceutical and non-pharmaceutical interventions and their potential effectiveness on the control of infections with the help of compartmental mathematical models in epidemiology. This book also covers a wide variety of topics like dynamic models in robotics, chemical process, biodynamic hypothesis and its application for the mathematical modeling of biological growth and the analysis of diagnosis rate effects and prediction of zoonotic viruses, data-driven dynamic simulation and scenario analysis of the spread of diseases.

This book will play a pivotal role as helpful resource for mathematical biologists and ecologists, epidemiologists, epidemic modelers, virologists, researchers, mathematical modelers, robotic scientists and control engineers and others engaged in the analysis of the transmission, prevention, and control of infectious diseases and their impact on human health. It is expected that this self-contained edited book can also serve undergraduate and graduate students, young scholars and early career researchers as the basis for meaningful directives of current trends of research in mathematical biology.

Some Key Features:
• Offers analytical and numerical techniques for dynamic models of nonlinear differential equations covering diverse area of applications.
• Discusses mathematical modeling and their applications in treating infectious diseases or analyzing their spreading rates
• Covers the application of differential equations for analyzing robotic problems in systems and control engineering
• Examines fault diagnosis of rotating machines by mathematical model of a rotor bearing-mass system
• Focuses on the bioreactor mathematical model to simulate the non-linear behavior of the reactor in chemical process.

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Table of Contents

Preface

Chapter 1. Introduction to Mathematical Modelling in Applications
M. Haider Ali Biswas¹ and M. Humayun Kabir²
¹Mathematics Discipline, Science Engineering and Technology School, Khulna University, Khulna, Bangladesh
²Department of Mathematics, Jahangirnagar University, Dhaka, Bangladesh

Chapter 2. Fault Diagnosis of Rotating Machines Based on the Mathematical Model of a Rotor Bearing-Mass System
Juan L. Mata-Machuca¹, Ricardo Aguilar-Lopez², Julio Tapia-Reyes³ and Jorge Fonseca-Campos4
¹Department of Advanced Technologies, UPIITA, Instituto Politecnico Nacional, Mexico City, Mexico
²Department of Biotechnology and Bioengineering, CINVESTAV-IPN, Mexico City, Mexico
³Mechatronic Engineering, UPIITA, Instituto Politecnico Nacional, Mexico City, Mexico
4Department of Basic Sciences, UPIITA, Instituto Politecnico Nacional, Mexico City, Mexico

Chapter 3. Experimental and Mathematical Modelling to Investigate the Kinetic Behavior of Plasmid DNA Production by Escherichia coli DH5α
Fernando Grijalva-Hernández, María del Carmen Montes-Horcasitas, Jaime Ortega-López, Edgar N. Tec-Caamal and Ricardo Aguilar-López – Biotechnology and Bioengineering Department, Center for Research and Advanced Studies of the National Polytechnic Institute, Mexico City, Mexico

Chapter 4. Mathematical Modelling in Robotic Digital Production
Marina Batova¹, Vyacheslav Baranov² and Irina Baranova²
¹Department of Informatics and Management, Military University of the Ministry of Defense of the Russian Federation, Moscow, Russia
²Department of Management and Region Development, Russian Presidential Academy of National Economy and Public Administration, Moscow, Russia

Chapter 5. Mathematical Modelling and Simulation of a Robot Manipulator
Juan L. Mata-Machuca¹, Ricardo Aguilar-Lopez², and Jorge Fonseca-Campos³
¹Department of Advanced Technologies, UPIITA, Instituto Politecnico Nacional, Mexico City, Mexico
²Department of Biotechnology and Bioengineering, CINVESTAV-IPN, Mexico City, Mexico
³Department of Basic Sciences, UPIITA, Instituto Politecnico Nacional, Mexico City, Mexico

Chapter 6. Mathematical Modelling Applied to Control the Emerging Deadly Nipah Fever in Bangladesh
M. Haider Ali Biswas¹, Mst. Shanta Khatun¹, M. Nazmul Hasan² and M. Humayun Kabir²
¹Mathematics Discipline, Science Engineering and Technology School, Khulna University, Khulna, Bangladesh
²Department of Mathematics, Jahangirnagar University, Dhaka, Bangladesh

Chapter 7. Mathematical Modelling of the Closed-loop Performance of a Continuous Bioreactor under a Feedback Polynomial-type Controller
Ricardo Aguilar-López, Edgar N. Tec-Caamal¹, Juan C. Figueroa-Estrada¹, Alma R. Domínguez-Bocanegra¹ and María Isabel Neria-González²
¹Biotechnology and Bioengineering Department, CINVESTAV-IPN, Mexico City, Mexico
²Chemical and Biochemical Engineering Division, Tecnológico de Estudios Superiores de Ecatepec, Ecatepec de Morelos, México

Chapter 8. Mathematical Study of Human Movement and Temperature in the Transmission Dynamics of Dengue Disease Between Two Patches
Ganga Ram Phaijoo and Dil Bahadur Gurung – Department of Mathematics, School of Science, Kathmandu University, Nepal

Chapter 9. A Numerical Model of Malaria Fever Transmission with Organized Vector Populace and Irregularity
Kalyan Das¹, and M. N. Srinivas²
¹Department of Basic and Applied Sciences, National Institute of Food Technology Entrepreneurship and Management, HSIIDC Industrial Estate, Kundli, Haryana, India
²Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

Chapter 10. Mathematical Modelling in Food and Agricultural Areas
Maicon Sérgio N. dos Santos¹, MSc., Carolina E. Demaman Oro², MSc., Rogério M. Dallago², Giovani L. Zabot¹, and Marcus V. Tres¹
¹Laboratory of Agroindustrial Processes Engineering (LAPE), Federal University of Santa Maria (UFSM), Center DC, Cachoeira do Sul – RS, Brazil
²Department of Food Engineering, URI Erechim, Fátima, Erechim – RS, Brazil

Chapter 11. Mathematical Modelling of Complex Systems using Stochastic Partial Differential Equations: Review and Development of Mathematical Concepts
Parul Tiwari¹, Don Kulasiri¹, and Sandhya Samarasinghe²
¹Centre for Advanced Computational Solutions, Lincoln University, New Zealand
²Department of Environmental Management, Lincoln University, New Zealand

Index

Additional information

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