Spatial Dynamics and Pattern Formation in Biological Populations

Dr. Ranjit Kumar Upadhyay is a Professor in the Department of Mathematics & Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, India. He is an acknowledged researcher and has contributed in various areas of Applied Mathematics, Mathematical modeling and Nonlinear Dynamics. His research areas are interdisciplinary in nature like dynamical systems theory; chaotic dynamics of real-world situations; population dynamics for marine and terrestrial ecosystems; spatial dynamics in epidemic (influenza, Ebola and Zika viruses), e-epidemic and neural models; and reaction-diffusion modeling. He has published 150 research papers in different International Journals of repute and a number of these publications are with international collaborators. He has supervised 9 students for their Ph.D. Currently, 6 students are working under his guidance for their Ph.D. degree. He has handled a number of sponsored R&D projects. He is the co-author of the Book titled "Introduction to Mathematical Modeling and Chaotic Dynamics" published by Taylor & Francis group (CRC Press, USA). He is on the Editorial Board for many reputed Journals. He is an Associate Editor of the Elsevier Journal "Food Webs" and Springer Journal "Advances in Difference Equations" and "Differential Equations and Dynamical Systems". He is a Guest Editor of a Special Issue entitled "Nonlinear Models in Biosignaling, Biosensor and Neural Systems – Modeling, Simulations, and Applications" being brought out by the Springer Journals "Differential Equations and Dynamical Systems". He was a visiting research fellow under the Indo-Hungarian Educational exchange program in Eötvös University, Budapest, Hungary. He was a visiting scientist and delivered invited lectures in many renowned institutions like University of Cambridge; University of Leicester, UK; University of Le Havre Normandie, France. He is a member of the International Society of Computational Ecology, Hong Kong. Dr. Satteluri R. K. Iyengar was a Professor and former Head of the Department of Mathematics, Indian Institute of Technology (IIT), New Delhi, India. He worked as a Professor for more than 22 years. His areas of research work are Numerical Analysis and Mathematical Modeling. He is the co-author of the Books titled (a) "Introduction to Mathematical Modeling and Chaotic Dynamics" published by Taylor & Francis group (CRC Press, USA), and (b) "Advanced Engineering Mathematics", published by Narosa Publishing House. He is a co-author of a number of books on Numerical Analysis like "Numerical Methods for Scientific and Engineering Computation" etc. He has many research publications in International Journals of repute. He was a post-doctoral fellow at Oxford University Computing Laboratory, Oxford, United Kingdom, and the University of Saskatchewan, Canada. He was awarded the Distinguished Service Award by the Indian Institute of Technology, New Delhi, India during its Golden Jubilee Year in 2011. He was also awarded the Distinguished Indian Award in 2007 by the Pentagram Research Center (P) Limited, Hyderabad, India for his contributions.

Introduction to Diffusive Processes. Reaction-Diffusion Modeling. Modeling Virus Dynamics in Time and Space. Modeling the Epidemic Spread and Outbreak of Ebola Virus. Modeling the Transmission Dynamics of Zika Virus. Brain Dynamics: Neural Systems in Space and Time.