Advances in Mathematical and Computational Modeling of Engineering Systems
暫譯: 工程系統數學與計算建模的進展

這本書涵蓋了廣泛的主題，例如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、慢速-快速捕食者-獵物系統的動態以及HIV疫情的擴散與控制。它強調使用數學建模來研究流體流動問題，包括粘彈性噴流的破裂、奈米纖維中產生的不穩定性、環形通道中的流動以及奈米流體中的熱不穩定性，並以全面的方式進行探討。本書將成為對於有興趣應用數學和計算建模技術來研究各種生物和工程現象的學生、研究人員和政策制定者的易於獲取的資訊來源。

本書-

- 專注於當前的建模和計算趨勢，以研究各種生態、流行病學和工程系統。

- 提出廣泛的生態和環境問題的數學建模，包括作物害蟲控制管理、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。

- 涵蓋多種主題，包括粘彈性噴流的破裂、奈米纖維中產生的不穩定性、環形通道中的流動以及奈米流體中的熱不穩定性。

- 檢視演化模型，即時間變化過程的模型。

- 突顯分析方法在研究非線性動態系統中的最新發展。

- 展示計算技術在解決實際生物和工程問題中的多樣化應用。

本書專注於生物和工程系統的數學建模和科學計算的最新研究發展。它將成為生態工程、環境工程、計算機工程、機械工程、數學和流體動力學等多個領域的高年級本科生、研究生和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.

穆克什·庫馬爾·阿瓦斯提博士的博士論文主題為「毛細管及凱爾文-亥姆霍茲不穩定性的潤滑修正的潛在流分析」。他目前在印度勒克瑙的巴巴薩赫布·比姆拉奧·安貝德卡大學數學系擔任助理教授。阿瓦斯提博士專注於流動問題的數學建模。他教授過流體力學、離散數學、偏微分方程、抽象代數、數學方法和測度論等課程，對研究生進行教學。他在流動問題的數學建模方面擁有卓越的知識，能夠以解析和數值方式解決這些問題。他對於粘性潛在流、電流動力學、磁流動力學、熱傳遞和質量傳遞等主題有良好的掌握。他具備優秀的溝通技巧和領導能力，並且自我激勵，能夠以更具說服力的方式回應建議。

阿瓦斯提博士於2008年通過印度科學與工業研究委員會（CSIR）舉辦的全國資格考試（NET），獲得了初級研究獎學金（JRF）和高級研究獎學金（SRF）以進行研究。他在Elsevier、Taylor & Francis、Springer、Emerald、World Scientific等多個國內外期刊和會議上發表了超過115篇研究論文（期刊文章/書籍/書章/會議文章），並出版了7本書籍。他參加了許多數學和流體力學的研討會、工作坊和會議。2013年至2016年，他連續四次獲得印度德拉敦石油與能源研究大學的「研究獎」。他還獲得了來自新德里的UGC的啟動研究資金，用於他的項目「多層流體系統界面的非線性研究」。

梅特里·維爾瑪博士在印度瓦拉納西的班納拉斯印度大學獲得數學博士學位，論文主題為「溫室氣體的數學建模與分析及其控制」。她目前在印度勒克瑙的巴巴薩赫布·比姆拉奧·安貝德卡大學數學系擔任助理教授。維爾瑪博士專注於生態、環境和工程系統的數學建模。她積極從事溫室氣體的排放與控制的數學建模與分析、捕食者-獵物系統的動態建模、計算機病毒在網絡中的動態等領域的研究。她在國際知名期刊上發表了14篇研究論文。她教授過動態系統、數學建模、常微分方程、實分析、線性代數、泛函分析以及概率與概率分佈等課程，對研究生進行教學。維爾瑪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。

維爾瑪博士於2009年和2010年通過印度科學與工業研究委員會（CSIR）舉辦的全國資格考試（NET），並在博士課程中獲得了初級研究獎學金（JRF）和高級研究獎學金（SRF）。她於2015年獲得了來自印度孟買原子能部門的國家高等數學委員會的博士後獎學金。她參加了許多工作坊和會議，並兩次獲得最佳論文報告獎。她還擔任多個國際期刊的審稿人。她獲得了來自印度新德里的大學資助委員會的啟動研究資金，用於她的項目「全球變暖的原因與影響：數學研究」。

曼基·拉姆教授在印度潘特納加爾的G.B. Pant農業與技術大學獲得數學專業的博士學位，並輔修計算機科學。他擔任教職約十二年，教授過多門純數學和應用數學的核心課程，涵蓋本科、研究生和博士生層級。目前，他是印度德拉敦的Graphic Era（被認可的大學）的研究教授。在加入Graphic Era之前，他曾短暫擔任Syndicate Bank的副經理（見習官）。他是《國際數學、工程與管理科學期刊》的主編、《可靠性與統計研究期刊》的主編，以及Elsevier、CRC Press-A Taylor and Frances Group、Walter De Gruyter出版社、River出版社的六本書系列的主編，並擔任多個期刊的客座編輯和編輯委員會成員。他在IEEE、Taylor & Francis、Springer、Elsevier、Emerald、World Scientific等多個國內外期刊和會議上發表了超過225篇研究論文（期刊文章/書籍/書章/會議文章），並與Elsevier、Springer Nature、CRC Press-A Taylor and Frances Group、Walter De Gruyter出版社、River出版社等國際出版商出版了超過50本書籍（著作/編輯）。他的研究領域包括可靠性理論和應用數學。拉姆博士是IEEE的高級會員、印度運籌學會的高級終身會員、印度可靠性工程、質量與運營管理學會的會員，以及印度工業與應用數學學會的會員。他曾參與多個國際和國內會議、研討會和工作坊的組織委員會。他於2009年獲得了烏塔拉坎德州科學與技術委員會頒發的「青年科學家獎」。他於2011年獲得「最佳教學獎」，2015年獲得「研究卓越獎」，並於2018年因在Graphic Era被認可的大學的學術和研究方面的重大貢獻而獲得「傑出研究者獎」。