Analysis of Infectious Disease Problems (Covid-19) and Their Global Impact
暫譯: 傳染病問題分析（Covid-19）及其全球影響

這本編輯的專著是選定研究文章的集合，討論了近期利用數學模型分析傳染病的相關議題。本書分為兩部分，提供了對 Covid-19 的一般性及各國分析。書中介紹了病毒模型的分析和數值技術，以及數學模型在其傳播速率和治療分析中的應用。本書還包括分數微分方程的應用，以及常微分方程、偏微分方程和積分微分方程的優化方法。概率分佈及其生物數學應用也得到了研究。本書對於研究人員、學者、生物數學家和醫學專家來說，是一個寶貴的資源。

PRAVEEN AGARWAL is Associate Professor at the Department of Mathematics, Anand International College of Engineering, Jaipur, India. He completed his Ph.D. in Mathematics from the Malviya National Institute of Technology, Jaipur, India. His areas of research include special functions, fractional calculus, numerical analysis, differential and difference equations, inequalities, and fixed point theorems. He has authored 7 research monographs and edited volumes and over 150 research articles with approximately 100 mathematicians from around the world in prestigious national and international journals. He has delivered invited talks in universities and institutions around the world as well as guided various research students over the years. He is the recipient of the Most Outstanding Researcher (2018) award for his outstanding contribution to mathematics by the then Union Minister of Human Resource Development of India, Prakash Javadekar.

JUAN J. NIETO is Professor of Mathematical Analysis at the University of Santiago de Compostela, Spain, since 1991 and a fellow of the Royal Galician Academy of Sciences. He received his Ph.D. in Mathematics from the University of Santiago de Compostela, Spain, in 1983. His most influential contributions to date are in the area of differential equations, and his research interests are in fractional calculus, fuzzy equations and epidemiological models. He is one of the most cited mathematicians in the world according to the Web of Knowledge and appears in the Thompson Reuters Highly Cited Researchers list. His works have been published in various journals and conference proceedings of repute.

MICHAEL RUZHANSKY is Senior Full Professor at the Department of Mathematics, Ghent University, Belgium, and Professor at the School of Mathematical Sciences, Queen Mary University of London, UK. He received his Ph.D. in Mathematics from Utrecht University, The Netherlands, in 1998, with the thesis titled "Singular Fibrations with Affine Fibers, with Applications to the Regularity Properties of Fourier Integral Operators." He completed his M.Sc. in Mathematics and Education at St. Petersburg State University, Russia, in 1995, with the thesis titled "Linear Optimal Filtering Theory with the Generalized Quadratic Quality Functional." He is a recipient of several awards, including Ferran Sunyer I Balaguer Prize (2018), Odysseus I Project (2018), Ferran Sunyer I Balaguer Prize (2014) and Daiwa Adrian Prize (2010).

DELFIM F. M. TORRES is Full Professor of Mathematics at the Department of Mathematics, the University of Aveiro (UA), Portugal. He received his Ph.D. in mathematics from the University of Aveiro, in 2002. He is also the Director of the FCT Doctoral Programme Consortium in Mathematics and Applications (MAP-PDMA) of the University of Minho, Portugal, and the University of Beira Interior, Portugal. His main research areas are calculus of variations and optimal control, optimization with emphasis on the regularity of solutions and necessary optimality conditions, fractional derivatives and integrals, dynamic equations on time scales or measure chains, and mathematical biology. He has published over 400 scientific and pedagogical publications, including research papers in reputed international journals, refereed conference proceedings, chapters in books, and books (as an author and editor). Having guided 18 Ph.D. Torres has a strong experience in graduate and postgraduate student supervision and teaching mathematics, both in Portugal and abroad. Moreover, he has led teams and has been a member of several national and international R&D projects, including EU projects and networks. He was a key scientist of the European Marie Curie Project SADCO (Sensitivity Analysis for Deterministic Controller Design), Network for Initial Training, under the 7th Framework Programme FP7-PEOPLE-2010-ITN.

PRAVEEN AGARWAL 是印度齋浦爾安南國際工程學院數學系的副教授。他在印度齋浦爾的馬爾維亞國立技術學院獲得數學博士學位。他的研究領域包括特殊函數、分數微積分、數值分析、微分方程和差分方程、不等式以及不動點定理。他已撰寫7本研究專著和編輯卷，並與來自世界各地約100位數學家共同發表超過150篇研究文章於知名的國內外期刊。他曾在全球各大學和機構發表受邀演講，並指導多位研究生。他因對數學的傑出貢獻而獲得2018年印度人力資源發展部前部長Prakash Javadekar頒發的最傑出研究者獎。

JUAN J. NIETO 自1991年以來擔任西班牙聖地亞哥德孔波斯特拉大學的數學分析教授，並且是加利西亞皇家科學院的院士。他於1983年在西班牙聖地亞哥德孔波斯特拉大學獲得數學博士學位。他迄今為止最具影響力的貢獻在於微分方程領域，研究興趣包括分數微積分、模糊方程和流行病模型。他是根據Web of Knowledge評選的全球最被引用數學家之一，並出現在Thompson Reuters的高被引研究者名單中。他的作品已發表於多個知名期刊和會議論文集中。

MICHAEL RUZHANSKY 是比利時根特大學數學系的高級全職教授，並且是英國倫敦女王瑪麗大學數學科學學院的教授。他於1998年在荷蘭烏特勒支大學獲得數學博士學位，論文題目為《具有仿射纖維的奇異纖維化及其在傅立葉積分算子正則性特性中的應用》。他於1995年在俄羅斯聖彼得堡國立大學獲得數學與教育碩士學位，論文題目為《具有廣義二次質量函數的線性最佳過濾理論》。他獲得多項獎項，包括2018年Ferran Sunyer I Balaguer獎、2018年Odysseus I計畫、2014年Ferran Sunyer I Balaguer獎和2010年Daiwa Adrian獎。

DELFIM F. M. TORRES 是葡萄牙阿維羅大學數學系的全職教授。他於2002年在阿維羅大學獲得數學博士學位。他同時是葡萄牙米尼奧大學和比拉內爾大學數學與應用博士課程聯盟（MAP-PDMA）的主任。他的主要研究領域包括變分法和最佳控制、強調解的正則性和必要的最優條件的優化、分數導數和積分、時間尺度或測度鏈上的動態方程以及數學生物學。他已發表超過400篇科學和教學出版物，包括在知名國際期刊上的研究論文、經審稿的會議論文、書籍章節以及書籍（作為作者和編輯）。他指導了18位博士生，並在葡萄牙及國外擁有豐富的研究生和研究生教學經驗。此外，他曾領導團隊並參與多個國內外的研發項目，包括歐盟項目和網絡。他是歐洲瑪麗居里計畫SADCO（確定性控制器設計的靈敏度分析）初始培訓網絡的關鍵科學家，該計畫屬於第七框架計畫FP7-PEOPLE-2010-ITN。