Mathematical Analysis and Applications in Modeling

1. Front Matter

   Pages i-xiv

   PDF

2. Optimal Strategies of the Psoriasis Treatment by Suppressing the Interaction Between T-Lymphocytes and Dendritic Cells

   • Ellina V. Grigorieva, Evgenii N. Khailov

   Pages 1-11

3. The Use of Reaction Network Theory for Finding Network Motifs in Oscillatory Mechanisms and Kinetic Parameter Estimation

   • Igor Schreiber, Vuk Radojković, František Muzika, Radovan Jurašek, Lenka Schreiberová

   Pages 13-23

4. An Existence Result for Some Fractional Evolution Equation with Nonlocal Conditions and Compact Resolvent Operator

   • G. M. N’Guérékata

   Pages 25-32

5. Impact of Tobacco Smoking on the Prevalence of Tuberculosis Infection: A Mathematical Study

   • Mini Ghosh

   Pages 33-51

6. Modelling the Effects of Stigma on Leprosy

   • Stephen G. Mosher, Christian Costris-Vas, Robert Smith

   Pages 53-68

7. One Simple Model—Various Complex Systems

   • Urszula Foryś

   Pages 69-83

8. Reliability Analysis of Multi-state Two-Dimensional System by Universal Generating Function

   • K. Meenakshi, S. B. Singh

   Pages 85-100

9. Quantum Symmetry of Classical Spaces

   • Debashish Goswami

   Pages 101-108

10. Quasi-isometry and Rigidity

    • Parameswaran Sankaran

    Pages 109-116

11. Existence of Compositional Square-Roots of Functions

    • V. Kannan

    Pages 117-123

12. On Generalized Statistical Convergence and Strongly Summable Functions of Weight g

    • Ekrem Savaş, Rabia Savaş

    Pages 125-132

13. On \(\mathcal {I}\)-Statistically Order Pre Cauchy Sequences in Riesz Spaces

    • Pratulananda Das, Ekrem Savas

    Pages 133-144

14. On Ball Dentable Property in Banach Spaces

    • Sudeshna Basu

    Pages 145-149

15. Some Observations Concerning Polynomial Convexity

    • Sushil Gorai

    Pages 151-161

16. Solution of Large-Scale Multi-objective Optimization Models for Saltwater Intrusion Control in Coastal Aquifers Utilizing ANFIS Based Linked Meta-Models for Computational Feasibility and Efficiency

    • Dilip Kumar Roy, Bithin Datta

    Pages 163-171

17. Cost Driven Optimization of Microgrid Under Environmental Uncertainties Using Different Improved PSO Models

    • Meenakshi De, G. Das, K. K. Mandal

    Pages 173-185

18. Global Exponential Stability of Non-autonomous Cellular Neural Network Model with Time Varying Delays

    • M. Chowdhury, P. Das

    Pages 187-196

19. Topological Configuration in the Heisenberg Spin Sequence and DNA

    • Subhamoy Singha Roy

    Pages 197-207

20. Modelling Studies Focusing on Microphytobenthos and Its Role in Benthic-Pelagic Coupling

    • Swagata Sinha, Arnab Banerjee, Nabyendu Rakshit, Santanu Ray

    Pages 209-224

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. 

• ICMAAM
• Real Analysis
• Functional Analysis
• Topology
• Mathematical Biology
• Mathematical Ecology
• Mathematical Modelling
• Nonlinear Dynamical Systems

• Department of Mathematics, Jadavpur University, Kolkata, India

  Priti Kumar Roy, Pratulananda Das

• College of Science, Beijing Technology and Business University, Beijing, China

  Xianbing Cao

• College of Mathematics and Information Science, Henan Normal University, Xinxiang, China

  Xue-Zhi Li

• Harish-Chandra Research Institute, Allahabad, India

  Satya Deo

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.

Policies and ethics