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Mathematical Analysis and Applications in Modeling: ICMAAM 2018, Kolkata, India, January 9–12 de Priti Kumar Roy

Mathematical Analysis and Applications in Modeling: ICMAAM 2018, Kolkata, India, January 9–12: Springer Proceedings in Mathematics & Statistics, cartea 302

Editat de Priti Kumar Roy, Xianbing Cao, Xue-Zhi Li, Pratulananda Das, Satya Deo
en Limba Engleză Hardback – 11 mar 2020

Considerăm acest volum, Mathematical Analysis and Applications in Modeling, o resursă esențială pentru înțelegerea interdisciplinarității matematice moderne, unde rigoarea analizei pure se întâlnește cu necesitățile practice din biologie, medicină și inginerie. Lucrarea reunește cercetări de ultimă oră prezentate la conferința ICMAAM 2018 din Kolkata, oferind un spectru larg de aplicații, de la topologie și sisteme dinamice până la optimizarea proceselor industriale. Notăm cu interes modul în care volumul extinde cadrul propus de Mathematical Modelling, Optimization, Analytic and Numerical Solutions prin integrarea unor date noi din perioada 2018-2020, punând un accent mai pronunțat pe complexitatea sistemelor biologice și pe modelele de control terapeutic.

În contextul operei editorului Priti Kumar Roy, această apariție reprezintă o consolidare a direcțiilor de cercetare explorate în lucrări anterioare precum Mathematical Models for Therapeutic Approaches to Control Psoriasis. Dacă volumele sale precedente se concentrau pe patologii specifice, ediția de față, publicată în seria Springer Proceedings in Mathematics & Statistics, oferă o perspectivă sistemică mai vastă, incluzând modele pentru tuberculoză și lepră. Structura cărții reflectă o progresie logică de la fundamentul teoretic al analizei funcționale și cuantice către aplicații numerice complexe. Primele capitole tratează strategii de tratament prin suprimarea interacțiunilor celulare, fiind urmate de secțiuni dedicate teoriei rețelelor de reacție și analizei fiabilității sistemelor multi-stare. Această organizare permite cititorului să navigheze de la abstracția matematică a operatorilor de rezolvență compactă la pragmatismul modelării impactului fumatului asupra prevalenței infecțiilor, demonstrând utilitatea matematicii în soluționarea problemelor globale de sănătate.

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Specificații

ISBN-13: 9789811504211
ISBN-10: 9811504210
Pagini: 523
Ilustrații: XIV, 523 p. 96 illus., 80 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.86 kg
Ediția:1st ed. 2020
Editura: Springer Nature Singapore
Colecția Springer
Seria Springer Proceedings in Mathematics & Statistics

Locul publicării:Singapore, Singapore

De ce să citești această carte

Această lucrare este indispensabilă cercetătorilor și studenților la masterat sau doctorat care doresc să aplice analiza matematică în biologia teoretică și epidemiologie. Cititorul câștigă acces la metodologii avansate de modelare a bolilor infecțioase și cronice, învățând să transforme datele clinice în modele predictive. Este o resursă valoroasă pentru cei care caută să înțeleagă cum sistemele dinamice pot optimiza protocoalele de tratament medical.

Despre autor

Priti Kumar Roy este un cercetător recunoscut în domeniul matematicii aplicate, cu un interes deosebit pentru biomatematică și controlul bolilor infecțioase. Activitatea sa editorială și de cercetare se concentrează pe utilizarea modelelor deterministe și stocastice pentru a înțelege dinamica transmiterii bolilor, precum HIV și psoriazisul. Alături de co-editorii Xianbing Cao și Xue-Zhi Li, Roy a coordonat numeroase forumuri academice internaționale, contribuind semnificativ la dezvoltarea literaturii de specialitate prin integrarea datelor clinice reale în cadre matematice riguroase, facilitând astfel dialogul dintre matematicieni și experții din industria medicală.

Descriere scurtă

This book collects select papers presented at the “International Conference on Mathematical Analysis and Application in Modeling,” held at Jadavpur University, Kolkata, India, on 9–12 January 2018. It discusses new results in cutting-edge areas of several branches of mathematics and applications, including analysis, topology, dynamical systems (nonlinear, topological), mathematical modeling, optimization and mathematical biology. The conference has emerged as a powerful forum, bringing together leading academics, industry experts and researchers, and offering them a venue to discuss, interact and collaborate in order to stimulate the advancement of mathematics and its industrial applications. 

Cuprins

E. V. Grigorieva and E. N. Khailov, Optimal Strategies of the Psoriasis Treatment by Suppressing the Interaction Between T-Limphocytes and Dendritic Cells.- I. Schreiber, V. Radojkovic, F. Muzika, R. Jurašek and L. Schreiberová, The use of reaction network theory for finding network motifs in oscillatory mechanisms and kinetic parameter estimation.- G. M. N'Guerekata, An existence result for some fractional Evolution equation with nonlocal conditions and compact resolvent operator.- M. Ghosh, Impact of Tobacco Smoking on the Prevalence of Tuberculosis Infection: a Mathematical Study.- S. G. Mosher, C. Costris-Vas and R. Smith, Modelling the Effects of Stigma on Leprosy.- U. Forys, One simple model { various complex systems.- Km. Meenakshi and S.B. Singh, Reliability Analysis of Multi-State Two-Dimensional System by Universal Generating Function.- D. Goswami, Quantum Symmetry of Classical Spaces.- P. Sankaran, Quasi-isometry and rigidity.- V. Kannan, Existence of Compositional Square-Roots of Functions.- E. Savas, On generalized statistical convergence and strongly summable functions of weight g.- P. Das, On I- Statistically Order Pre Cauchy Sequences in Riesz Spaces.- S. Basu, On Ball dentable property in Banach Spaces.- S. Gorai, Some observations concerning polynomial convexity.- D. K. Roy and B. Datta, Solution of large-scale multi-objective optimization mod-els for saltwater intrusion control in coastal aquifers uti-lizing ANFIS based linked meta-models for computa-tional feasibility and efficiency.- M De, G Das, and K K Mandal, Cost driven optimization of microgrid under environmental uncertainties using different improved PSO models.- M.Chowdhury and P.Das, Global exponential stability of non-autonomous Cellular Neural network model with time varying delays.- S. S. Roy, Topological Configuration in the Heisenberg Spin Sequence and DNA.- S. Sinha, A. Banerjee, N. Rakshit, and S. Ray, Modelling Studies focusing on Microphytobenthos and its role inBenthic-Pelagic Coupling.- S. Das, S. Adhurya, and S. Ray, Overview of Ecological Economics and Ecosystem Services Consequences from Shrimp Culture.- N. Rakshit, A. Banerjee, S. Sinha, and S. Ray, Recent trends of Ecosystem health and biodiversity status of pelagic-benthic coupled system in Indian estuaries with special emphasis on Hooghly estuary, India.- S. Adhurya, S. Das, and S. Ray, Guanotrophication by Waterbirds in Freshwater Lakes: A Review on Ecosystem Perspective.- Z. Yuxuan, Z. Yanhui, Lu Xiaohua, On the Volatility of High Frequency Stock Index Based on SV Model of MCMC.- L. N. Guin, The effects of unequal diffusion coefficients on spatiotemporal pattern formation in prey harvested reaction-diffusion systems.- B.C. Giri, R. Bhattacharjee and T. Maiti, Optimal pricing strategy in a two-echelon supply chain with admissible advanced and delayed payment.- D. Mukherjeea, L. N. Guina, S. Chakravartya, Studies on Atherosclerotic Plaque Formation: A Mathematical Approach.- Y. Zhou, Threshold of a stochastic delayed SIR epidemic model with saturation incidence.- P. Mondal and S. Sinha, Semi-stationary Equilibrium Strategies in Non-cooperative N-person Semi-Markov Games.- D. Dubey, S. K. Neogy and S. Sinha, Max Plus Algebra, Optimization and Game Theory.- F. Al Basir, Dynamics of infectious diseases with periodic awareness campaigns.- B. Samanta, B.C. Giri and K.S. Chaudhuri, A vendor-buyer supply chain model for deteriorating item with quadratic time-varying demand and pro-rata warranty policy.- A. Sengupta, J. Chowdhury, Xue-Zhi Li and P. K. Roy, Pest Control of Jatropha curcas Plant for Different Response Functions.- Y.X. Dangy, Global dynamics of a TB model with classes age structure and environmental transmission.- S. Chakraborty.- Gravitational waves : The Mathematical Background.- J. D. Ferreiraa, V. S. Hari Rao, Current trends in the bifurcation methods of solutions of real world dynamical systems.- S. K. Chakraborty and G. Panda, A modified coordinate search method based on axes rotation.

Notă biografică

Priti Kumar Roy is Professor in the Department of Mathematics, Jadavpur University, Kolkata, India. Earlier, he served several government colleges in different parts of West Bengal, India. He is an eminent member of several national and international societies like Biomathematical Society of India, International Association of Engineers, European Society of Clinical Microbiology and Infectious Diseases and European Society for Mathematical and Theoretical Biology. Professor Roy has received the Best Paper Award at the World Congress on Engineering 2010 in London. He was awarded with the “Siksha Ratan” Award in 2012. He has published a significant number of research papers on control therapeutic approaches and host–pathogen interactions on infectious as well as non-infectious diseases to enlighten new insights on the subjects. With over 120 peer-reviewed research papers, more than 50 invited talk (abroad), 30 invited talk (India) in different International and national institute, Professor Roy is a dedicated researcher in mathematical modelling and an expertise in numerical and analytical solutions to complex problems on real-life system dynamics. He has published two books on “Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission” (Springer in 2015) and “Mathematical Models for Therapeutic Approaches to Control Psoriasis” (Springer in 2019). He also edited two books on “Insight and Control of Infectious Disease in Global Scenario (by Intech Publishers)” and “A collection of Writings Objective Articulation from Socio-Academic Spectrum”. His research interests are also devoted in epidemiological issues on the chronic infectious disease such as HIV, Cutaneous Leishmaniasis and Filariasis, Bio-diesel Production, Enzyme Kinetics, Methanol Toxicity etc. 

Professor Roy also works on the neglected tropical disease like Psoriasis and has formulated robust mathematical models on the dynamics of such disease. 

Xianbing Cao is Professor and Director, Beijing Technology and Business University, China. Earlier he served as Dean, School of Science, BTBU. He received his Ph.D. degree in Stochastic Control Theory from the Chinese Academy of Sciences, in 2002. He is an eminent researcher in the field of Bio-Statistics. Internationally as a reputed Statistician as well as Mathematician, several research papers he has published in internationally reputed journals. He is the author or co-author of two books in the areas of stochastic and adaptive control systems and probability theory. His research interests include stochastic control systems, system identification and financial time series analysis.

Xue-Zhi Li is Professor and Vice President, Henan Normal University, China. Before joining this administrative post, he served as a Vice President Anyang Institute of Technology and also served as a Dean at the College of Mathematics and Information Science, Henan Normal University, Xinxiang, China. 
He is an internationally reputed Mathematical Biologist. He has authored two books and more than 176 papers in national and international journals of repute. 

Pratulananda Das is Professor in the Department of Mathematics, Jadavpur University, Kolkata, India. He earned his Ph.D. from Kalyani University, in 2000. He was awarded with the “INSA Teachers Award” from the Indian National Science Academy, New Delhi, India, in 2017. He is a life member of several national and international societies like The National Academy of Sciences India, American Mathematical Society, Indian Science Congress Association, Ramanujan Mathematical Society and Calcutta Mathematical Society. His research interests include set-theoretic and general topology, sequences and summability theory, and analysis. 

Satya Deo is Senior Scientist at The National Academy of Sciences, India, and Honorary Professor at Harish-Chandra Research Institute, Allahabad, India. He was awarded with the Distinguished Service Award by the Mathematical Association of India for outstanding contributions to the cause of teaching and research in 2006 and the Indian Science Congress Gold Medal by the then Prime Minister of India, in 2010. He has guided 17 Ph.D. students and published over 70 papers in reputed international journals and proceedings. His area of specialization includes algebraic and differential topology, topological and differentiable group actions, homology–cohomology theories, cohomological dimension theory, Burnside rings, hopfian and cohopfian rings, spline modules and topological combinatorics.

Caracteristici

Discusses recent advances in pure and applied mathematics and their applications in mathematical modeling Includes papers in the areas of analysis, topology, dynamical systems (nonlinear, topological), mathematical modeling, optimization, and mathematical biology Analyzes recent developments in dynamical systems, with a special emphasis on mathematical biology