Advances in Mathematical and Computational Modeling of Engineering Systems

The text covers a wide range of topics such as mathematical modeling of crop pest control management, water resources management, impact of anthropogenic activities on atmospheric carbon dioxide concentrations, impact of climate changes on melting of glaciers and polar bear populations, dynamics of slow-fast predator-prey system and spread and control of HIV epidemic. It emphasizes the use of mathematical modeling to investigate the fluid flow problems including the breaking of viscoelastic jet, instability arising in nanofiber, flow in an annulus channel, and thermal instability in nano-fluids in a comprehensive manner. This book will be a readily accessible source of information for the students, researchers and policymakers interested in the application of mathematical and computational modeling techniques to investigate various biological and engineering phenomena.

The book-

• Focuses on the current modeling and computational trends to investigate various ecological, epidemiological, and engineering systems.

• Presents the mathematical modeling of a wide range of ecological and environmental issues including crop pest control management, water resources management, the effect of anthropogenic activities on atmospheric carbon dioxide concentrations, and impact of climate changes on melting of glaciers and polar bear population.
• Covers a wide range of topics including the breaking of viscoelastic jet, instability arising in nanofiber, flow in an annulus channel, and thermal instability in nano-fluids.
• Examines evolutionary models i.e., models of time-varying processes.
• Highlights the recent developments in the analytical methods to investigate the nonlinear dynamical systems.

• Showcases diversified applications of computational techniques to solve practical biological and engineering problems.

The book focuses on the recent research developments in the mathematical modeling and scientific computing of biological and engineering systems. It will serve as an ideal reference text for senior undergraduate, graduate students, and researchers in diverse fields including ecological engineering, environmental engineering, computer engineering, mechanical engineering, mathematics, and fluid dynamics.

本書涵蓋了廣泛的主題，如農作物害蟲控制管理的數學建模、水資源管理、人類活動對大氣二氧化碳濃度的影響、氣候變化對冰川融化和北極熊族群的影響、慢-快捕食者-獵物系統的動態以及HIV流行病的傳播和控制。它強調使用數學建模全面地研究流體流動問題，包括粘彈性噴流的破裂、納米纖維中的不穩定性、管道中的流動以及納米流體中的熱不穩定性。本書將成為學生、研究人員和政策制定者的可靠信息來源，他們對應用數學和計算建模技術研究各種生物和工程現象感興趣。

本書重點介紹了當前的建模和計算趨勢，以研究各種生態學、流行病學和工程系統。

本書呈現了廣泛的數學建模，包括農作物害蟲控制管理、水資源管理、人類活動對大氣二氧化碳濃度的影響以及氣候變化對冰川融化和北極熊族群的影響。

本書涵蓋了多個主題，包括粘彈性噴流的破裂、納米纖維中的不穩定性、管道中的流動以及納米流體中的熱不穩定性。

本書探討了演化模型，即時間變化過程的模型。

本書突出了研究非線性動力系統的分析方法的最新發展。

本書展示了計算技術在解決實際生物和工程問題中的多樣化應用。

本書關注數學建模和科學計算在生物和工程系統中的最新研究發展。它將成為高年級本科生、研究生和生態工程、環境工程、計算機工程、機械工程、數學和流體動力學等不同領域的研究人員的理想參考書。

Dr. Mukesh Kumar Awasthi has done his Ph.D. on the topic "Viscous Correction for the Potential Flow Analysis of Capillary and Kelvin-Helmholtz instability". He is working as an Assistant Professor in the Department of Mathematics at Babasaheb Bhimrao Ambedkar University, Lucknow. Dr. Awasthi is specialized in the mathematical modeling of flow problems. He has taught courses of Fluid Mechanics, Discrete Mathematics, Partial differential equations, Abstract Algebra, Mathematical Methods, and Measure theory to postgraduate students. He has acquired excellent knowledge in the mathematical modeling of flow problems and he can solve these problems analytically as well as numerically. He has a good grasp of the subjects like viscous potential flow, electro-hydrodynamics, magneto-hydrodynamics, heat, and mass transfer. He has excellent communication skills and leadership qualities. He is self-motivated and responds to suggestions in a more convincing manner.
Dr. Awasthi has qualified National Eligibility Test (NET) conducted on all India level in the year 2008 by the Council of Scientific and Industrial Research (CSIR) and got Junior Research Fellowship (JRF) and Senior Research Fellowship (SRF) for doing research. He has published 115 plus research publications (journal articles/books/book chapters/conference articles) in Elsevier, Taylor & Francis, Springer, Emerald, World Scientific, and many other national and international journals and conferences. Also, he has published 7 books. He has attended many symposia, workshops, and conferences in mathematics as well as fluid mechanics. He has got the "Research Awards" consecutively four times from 2013-2016 by the University of Petroleum and Energy Studies, Dehradun, India. He has also received the start-up research fund for his project "Nonlinear study of the interface in multilayer fluid system" from UGC, New Delhi.

Dr. Maitri Verma has received her Ph.D. in Mathematics from Banaras Hindu University, Varanasi, India on the topic "Mathematical modeling and analysis of greenhouse gases and their control". She is working as an Assistant Professor in the Department of Mathematics at Babasaheb Bhimrao Ambedkar University, Lucknow. Dr. Verma is specialized in mathematical modeling of ecological, environmental, and engineering systems. She is actively working in the modeling areas of mathematical modeling and analysis of emission and control of greenhouse gases, modeling of the dynamics of predator-prey systems, dynamics of computer virus in a network, etc. She has 14 research papers to her credit in the journals of international repute. She has taught courses of Dynamical Systems, Mathematical modeling, Ordinary differential equations, Real analysis, Linear Algebra, Functional analysis, and Probability and probability distributions to postgraduate students. Dr. Verma is a life member of the Indian Mathematical Society, Indian Science Congress, and Biomathematical Society of India.
Dr. Verma has qualified National Eligibility Test (NET) conducted by the Council of Scientific and Industrial Research (CSIR), India, in years 2009 and 2010 and availed Junior Research Fellowship (JRF) and Senior Research Fellowship (SRF) during the Ph.D. program. She has been awarded a postdoctoral fellowship from the National Board of Higher Mathematics, Department of Atomic Energy, Mumbai, India in 2015. She has attended many workshops and conferences and won the best paper presentation award two times. She is involved as a reviewer in many international journals. She has received the start-up research grant for her project entitled "Causes and impacts of global warming: A mathematical study" from the University Grants Commission, New Delhi, India.

Prof. Mangey Ram received the Ph.D. degree major in Mathematics and minor in Computer Science from G. B. Pant University of Agriculture and Technology, Pantnagar, India. He has been a Faculty Member for around twelve years and has taught several core courses in pure and applied mathematics at undergraduate, postgraduate, and doctorate levels. He is currently the Research Professor at Graphic Era (Deemed to be University), Dehradun, India. Before joining the Graphic Era, he was a Deputy Manager (Probationary Officer) with Syndicate Bank for a short period. He is Editor-in-Chief of International Journal of Mathematical, Engineering and Management Sciences, Journal of Reliability and Statistical Studies, Editor-in-Chief of six Book Series with Elsevier, CRC Press-A Taylor and Frances Group, Walter De Gruyter Publisher Germany, River Publisher and the Guest Editor & Member of the editorial board of various journals. He has published 225 plus research publications (journal articles/books/book chapters/conference articles) in IEEE, Taylor & Francis, Springer, Elsevier, Emerald, World Scientific, and many other national and international journals and conferences. Also, he has published more than 50 books (authored/edited) with international publishers like Elsevier, Springer Nature, CRC Press-A Taylor and Frances Group, Walter De Gruyter Publisher Germany, River Publisher. His fields of research are reliability theory and applied mathematics. Dr. Ram is a Senior Member of the IEEE, Senior Life Member of Operational Research Society of India, Society for Reliability Engineering, Quality and Operations Management in India, Indian Society of Industrial and Applied Mathematics. He has been a member of the organizing committee of several international and national conferences, seminars, and workshops. He has been conferred with the "Young Scientist Award" by the Uttarakhand State Council for Science and Technology, Dehradun, in 2009. He has been awarded the "Best Faculty Award" in 2011; the "Research Excellence Award" in 2015; and recently the "Outstanding Researcher Award" in 2018 for his significant contribution in academics and research at Graphic Era Deemed to be University, Dehradun, India.

Dr. Mukesh Kumar Awasthi在印度巴巴薩黑布希姆勞安貝德卡爾大學的數學系擔任助理教授，他的博士學位研究主題是「黏性修正對毛細管和凱爾文-亥姆霍茲不穩定性的潛流分析」。Awasthi博士專攻於流體問題的數學建模，他曾教授研究生課程，包括流體力學、離散數學、偏微分方程、抽象代數、數學方法和測度論。他在流體問題的數學建模方面具有優秀的知識，能夠以解析和數值的方式解決這些問題。他對黏性潛流、電流體力學、磁流體力學、熱傳和質量傳遞等主題有很好的理解。他具有出色的溝通能力和領導才能，自我激勵並能以更有說服力的方式回應建議。

Awasthi博士在2008年通過了由印度科學與工業研究委員會（CSIR）舉辦的全國資格考試（NET），並獲得了研究助理（JRF）和高級研究助理（SRF）的資格。他在Elsevier、Taylor & Francis、Springer、Emerald、World Scientific等國內外期刊和會議上發表了115多篇研究論文（期刊文章/書籍/書籍章節/會議文章），並出版了7本書。他曾參加過許多數學和流體力學的研討會、研討會和會議。他在2013年至2016年連續四次獲得了印度德拉敦石油和能源研究所頒發的「研究獎」。他還從印度大學委員會（UGC）獲得了他的項目「多層流體系統界面的非線性研究」的啟動研究資金。

Dr. Maitri Verma在印度巴巴薩黑布希姆勞安貝德卡爾大學的數學系擔任助理教授，她在印度瓦拉納西的巴納拉斯印度大學獲得了數學博士學位，研究主題是「溫室氣體的數學建模和分析及其控制」。Verma博士專攻於生態、環境和工程系統的數學建模，她積極從事溫室氣體排放和控制、捕食者-獵物系統動態、計算機病毒在網絡中的動態等建模領域的研究。她在國際知名期刊上發表了14篇研究論文。她曾教授研究生課程，包括動力系統、數學建模、常微分方程、實分析、線性代數、泛函分析和概率與概率分佈。Verma博士是印度數學學會、印度科學大會和印度生物數學學會的終身會員。

Verma博士在2009年和2010年通過了印度科學與工業研究委員會（CSIR）舉辦的全國資格考試（NET），並在博士學位期間獲得了研究助理（JRF）和高級研究助理（SRF）。她在2015年獲得了印度國家高等數學委員會（Department of Atomic Energy）的博士後獎學金。她參加了許多研討會和會議，並兩次獲得最佳論文報告獎。她是許多國際期刊的審稿人。她從印度大學委員會（UGC）獲得了她的項目「全球變暖的原因和影響：一個數學研究」的啟動研究資金。

Mangey Ram教授在印度G. B. Pant農業和技術大學獲得了數學博士學位，主修數學，副修計算機科學。他