त्वरित संपर्क
Peeyush Chandra
Ph.D., I.I.T. Kanpur
Professor (Retired) Department of Mathematics & Statistics
शोध करना दिलचस्पी
Bio-Fluid Mechanics
Fluid Mechanics (Low Reynolds Number Flow) Lubrication Theory
Magnetic Fluids
Ecological Modeling
Mathematical Epidemiolog
शिक्षा
Ph.D., I.I.T. Kanpur, 1976,Thesis Title : Mathematical Models of Synovial Joints- A Lubrication Biomechanical Study. PDF
M.Sc.(Mathematics), I.I.T. Kanpur, 1971
B.Sc., Meerut College, Meerut ( Meerut University), 1969
चयनित प्रकाशन
Books Authored'NPTEL Web course on Mathematics – II' (with A. K. Lal, V. Raghavendra,G. Santhanam) Online
'Mathematical Biology: Recent Trends' (Eds. Peeyush Chandra and B V Rathish Kumar) Anamaya Publishers, 2006.
'Advanced Calculus, Unit 1 - 2 (MTE - 07)' (with Sunder Lal, G. Das, Asha Mathur, S. K. Ray, T. T. Raghunathan) IGNOU, 1991.
Recent Papers Published in Journals & Refereed ProceedingsDynamical Complexity of a Prey - Predator Model with Nonlinear Predator - Discrete and Continuous Dynamical Systems, ser b, Vol 20 (2), 423 - 443, 2015 (with R.P. Gupta, Malay Banerjee).
Period doubling cascades of prey–predator model with nonlinear harvesting and control of over exploitation through taxation - Communications in nonlinear Science and Numerical Simulation, Vol. 19, 2382-2405, 2014 (with R.P. Gupta, Malay Banerjee).
Effect of habitat characteristics of carrier population leading to increased spread on the growth typhoid fever: A Model - Journal of Epidemiology and Global Health, Vol. 4 (2) 107 -114, 2014 (with J. B. Shukla, A. Goyal, Shikha Singh).
Bifurcation analysis of modified Leslie-Gower predator-prey model with Michaelis Menten type prey-harvesting Journal of Mathematical Analysis and Applications, Vol. 398, No. 1, 278-295 (2013), (with R.P. Gupta)
Dynamical model of in-host HIV infection: with drug therapy and multi-viral strains – Journal of Biological systems Vol. 20, No. 3 (2012) 303–325 , (with PK SRivastava, Malay Banerjee)
Bifurcation analysis and control of Leslie-Gower predator-prey model with Michaelis Menten type prey-harvesting - DEDS July 2012, Volume 20 (3), pp 339-366, (with R.P. Gupta, Malay Banerjee)
The dynamics of two-species allelopathic competition with optimal harvesting J. Biological Dynamics, Vol. 6, No. 2, March 2012, 674–694, (with R.P. Gupta, Malay Banerjee)
Modeling the depletion of dissolved oxygen in a lake due to algal bloom: Effect of time delay– Advances in Water Research, Volume 34, Issue 10, 2011, Pages 1232-1238 (with A.K. Misra, and V. Raghavendra)
Mathematical Modeling of opiate drug users - Proceeding of International Conference on Mathematical Modelling and Applications to Industrial Problems (MMIP2011), NIT Calicut, Page: 467-473 (ISBN-9789350590249), (with M.V. Radhika, P.K. Srivastava)
A study of double diffusive free convection from a corrugated vertical surface in a Darcy porous medium under soret dufour effect, J. Heat Transfer ASME 133(9), doi:10.1115/1.4003813 (with S.V.S.S.N.V.G. K. Murthy, B.V.K. Rathish, V. Sangwan, M. Nigam)
A primary infection model for HIV and immune response with two discrete time delays. Differential Eqn. & Dynamical System (DSDE), Vol. 18(4), 2010, pp. 385-399, (with P.K. Srivastava, M. Banerjee).
'Mathematical Modeling of HIV dynamics: in vivo' - Mathematics Student, 2010. PDF
'How artificial rain can be produced? A mathematical model' - To appear in: Nonlinear Analysis: Real World Applications (DOI: 10.1016/j.nonrwa.2009.09.013). (with J.B. Shukla, A.K. Misra, Ram Naresh)PDF
'Modelling the Dynamics of HIV and CD+ 4T Cells during primary infection' - Nonlinear Analysis. Real World Applications, Vol. 11 (2), 2010, pp 612-618. (with P. K. Srivastava)PDF
'Mathematical Modeling and Analysis of the Spread of Carrier dependent Infectious Diseases: Effects of Cumulative density of Environmental factors' - International J. of Biomathematics, Vol 2 (2), 2009, pp 213 – 228. (with S. Singh and J B Shukla)PDF
'Modeling the Drug Therapy for HIV infection' - Journal of Biological Systems, Vol.17(2), 2009, pp 213 - 223. (with P. K. Srivastava and Malay Banerjee)PDF
'A Study of Micro-polar Fluid in an annular tube with application to blood flow' - J. of Mechanics in Medicine and Biology, Vol. 8 (4), 2008. (with P Muthu and B V Rathish Kumar)PDF
'Hopf Bifurcation and periodic solutions in a Dynamical Model for HIV and Immune response' - Differential Equation and Dynamical Systems, Vol.16(1-2), 2008, pp 77-100. (with P. K. Srivastava)PDF
'Mathematical modeling and analysis of the depletion of dissolved oxygen in eutrophied water bodies affected by organic pollutants' - Nonlinear Analysis Real world Applications, Vol.9(5), 2008, pp 1851-1865. (with J.B. Shukla and A.K. Misra)PDF
'Modeling and analysis of the algal bloom in a lake caused by discharge of nutrients' - Applied Mathematics and Computation, Vol.196(2), 2008, pp 782-790. (with J.B. Shukla and A.K. Misra)PDF
'Peristaltic motion of micropolar fluid in circular cylindrical tubes: Effect of wall properties ' - Applied Mathematical Modelling, Vol.32(10), 2008, pp 2019-2033. (with P Muthu and B V Rathish Kumar)PDFComplete List of Publications
Publications (Research Area Wise)Mathematical Ecology
Mathematical-Epidemiology
Bio Fluid Mechanics
Lubrication Theory
Fluid Mechanics
Publications (Mathematical Ecology)Dynamical Complexity of a Prey - Predator Model with Nonlinear Predator - Discrete and Continuous Dynamical Systems, ser b, Vol 20 (2), 423 - 443, 2015 (with R.P. Gupta, Malay Banerjee).
Period doubling cascades of prey–predator model with nonlinear harvesting and control of over exploitation through taxation - Communications in nonlinear Science and Numerical Simulation, Vol. 19, 2382-2405, 2014 (with R.P. Gupta, Malay Banerjee).
Effect of habitat characteristics of carrier population leading to increased spread on the growth typhoid fever: A Model - Journal of Epidemiology and Global Health, Vol. 4 (2) 107 -114, 2014 (with J. B. Shukla, A. Goyal, Shikha Singh).
Bifurcation analysis of modified Leslie-Gower predator-prey model with Michaelis Menten type prey-harvesting Journal of Mathematical Analysis and Applications, Vol. 398, No. 1, 278-295, 2013, (with R.P. Gupta)
Bifurcation analysis and control of Leslie-Gower predator-prey model with Michaelis Menten type prey-harvesting - DEDS July 2012, Volume 20 (3), pp 339-366, (with R.P. Gupta, Malay Banerjee)
The dynamics of two-species allelopathic competition with optimal harvesting J. Biological Dynamics, Vol. 6, No. 2, March 2012, 674–694, (with R.P. Gupta, Malay Banerjee)
Modeling the depletion of dissolved oxygen in a lake due to algal bloom: Effect of time delay– Advances in Water Research, Volume 34, Issue 10, 2011, Pages 1232-1238 (with A.K. Misra, and V. Raghavendra)
How artificial rain can be produced ? A mathematical model – Nonlinear Analysis: Real World Applications, Vol. 11, 2010, pp. 2659-2668, (with J.B. Shukla, A.K. Misra, R. Naresh,).
'Mathematical modeling and analysis of the depletion of dissolved oxygen in eutrophied water bodies affected by organic pollutants' - Nonlinear Analysis Real world Applications, Vol. 9(5), 2008, pp 1851-1865. (with J.B. Shukla and A.K. Misra)
'Modeling and analysis of the algal bloom in a lake caused by discharge of nutrients' - Applied Mathematics and Computation, Vol. 196(2), 2008, pp 782-790. (with J.B. Shukla and A.K. Misra)
'Mathematical modeling and analysis of the depletion of dissolved oxygen in water bodies ' - Nonlinear analysis. Real world applications, Vol. 7(5), 2006, pp 980-996. (with A.K. Misra and J.B. Shukla)
Modelling the depletion of dissolved oxygen in a water body due to organic pollutants and their effect on survival of species, in Mathematical Biology- Recent Trends (Proc. ICMB-2004), Anamaya Publishers, New Delhi 266-272,2006. (with J. B. Shukla, A. K. Misra).
'A model for fishery resource with reserve area' , Journal of Nonlinear Analysis: Series B - Real World Applications, vol. 4, 2003, pp 625- 637 (with B. Dubey & P. Sinha)
'A model for inshore-offshore fishery, Journal of Biological systems , vol. 11(1), pp 27-41,2003, (with B. Dubey & P. Sinha).
'A mathematical model to study the effect of toxic chemicals on a prey-predator type fishery' , Journal of Biological systems, Vol. 10, No. 2, pp. 97-105, 2002, (with M. Ghosh & P. Sinha).
'A resource dependent fishery model with optimal harvesting policy' , Journal of Biological systems, Vol. 10, No.1, pp.1-13, 2002, (with B. Dubey & P. Sinha).
सम्मेलन प्रस्तुतियाँ
Conferences & Seminars OrganizedInternational:'International Conference on Mathematical Biology' 2004, IIT Kanpur- Convnor
UNESCO Workshop on Mathematical Modelling of Fluid Flows, Diffusion and Environmental Pollution, 2001- Co- coordinator
`International Symposium on Mathematical Modelling, Ecological, Environmental and Biological Systems, 1985.I.I.T. Kanpur, - Member, Organizing Committee.
National:Advanced Workshop on Mathematical Epidemiology and Differential Equations (Sponsored by DST) at IIT Patna, Co-cordinator, July 7- 13, 2013.
Stability & Bifurcation Analysis and Pattern Formation in Ecology & Epidemiology (Sponsored by DST) at IIT Kanpur, Co-cordinator, 25th February-2nd March, 2011
National Meet of Research Scholars in Mathematical Sciences, IIT Kanpur, 2007 & 2008 (Co-convenor)
A Symposium on 'Mathematical Biology' at IMS , Pune 2007.
Annual IMS Conference, Treasurer, 1996, IIT Kanpur
ISTE Summer School on Mathematical Modelling, Co-cordinator, 1994, IIT Kanpur
UGC Summer School on Mathematical Modelling, Co-cordinator 1984, IIT Kanpur
पेशेवर अनुभव
Professor March,'93 - June,2015 IIT, Kanpur
Associate Professor March,'91 - March,'93 IIT, Kanpur
Asst. Prof. Sept.'82 - March'91 IIT, Kanpur
Asst. Prof Jan.'80 - Sept.'82 Mehta Res. Inst. Allahabad*
Post Doctoral Fellow Jan.'76 - Jan.'80 Mehta Res. Inst. Allahabad*
Research Assistant Jan.'74 - Dec.'75 IIT, Kanpur
J.R.F.(C.S.I.R.) Jan.'72 - Dec.'73 IIT, Kanpur
मान्यता
Fellow of National Academy of Sciences, India.
Past President, Indian Mathematical Society ( April 2009 - March 2010).
Past president, Indian Society of Theoretical and Applied Mechanics (ISTAM) 2012.
Sanjay Mittal Chair Professor (Dec. 2011 - Dec. 2014).
Prof. P.L. Bhatnagar Memorial Award Lecture in the 67th Annaul Conf. of IMS, Aligarh, 2002.
XVth Prof. P. D. Verma Memorial Lecture, Rajasthan University, Jaipur
General Secretary (2009 -2011), Indian Society for Mathematical Modelling and Computer Simulation. (ISMMACS)
Vice President, Bio-mathematical Society of India.
Distinguished Service Award of Vijnana Parishad of India, 2012.
Listed in Marquis who's who in the world 2010 edition.
Editor (Maths.) to the National Academy Science Letters, 1981 - 1982.
Member Advisory Committee of ‘Interdisciplinary Journal of Mathematical Sciences’
Member, Editorial Board,
- Proc.(A), National Academy Science, India 2005- (Springer Journal),
- Differential equations and Dynamical Systems (Springer Journal),
- Review Bulletin Calcutta Mathematical Society,
- Journal of Indian Mathematical Society.
Member, PAC (MS), DST, New Delhi. (2004- 2007, 2007- 2011),
Member, Mathematical Sciences Research Committee, CSIR (2015 - 2018).
परियोजना
Research Projects
Principal Investigator to the DST, New Delhi project `Studies in Biomechanics' at M.R.I, Allahabad.Co-investigator to CSIR, New Delhi project `Peristalsis in Physiological Systems
पीएचडी पर्यवेक्षण
'Mathematical Modelling of Physiological Systems: Effects of Peristalsis and Multiple Stenoses'
Dr. Rajiv Sharma (1985), I.I.T. Kanpur(Co-guide : Dr. J.B. Shukla)
'Contributions to the Theory of Ferrofluid Lubrication'
Dr. Dinesh Kumar (1991),I.I.T.Kanpur(Co-guide : Dr. P.Sinha)
'Low Reynolds Number Flow in Ducts of Varying Cross Section with Permeable Walls'
Dr. J.S.V.R. Krishna Prasad (1990) I.I.T. Kanpur
'Microcontinuum Approach to some Biofluid Dynamical Problems'
Dr. D. Philip (1992) I.I.T., Kanpur (*)*Refered in “Microcontinuum Field Theories” ( Vol. II) - A. C. Eringen, Springer, 2001
'Thermal Inertia and Elastohydrostatic effects in Externally Pressurized Conical Bearings'
Dr. Snigdha Saxena (1993), I.I.T. Kanpur(Co-guide : Dr. P.Sinha)
'Mathematical Modelling of Mucus Transport in the Lung under Pathological and Normal Conditions'
Dr. Dipak K. Satpathy (1998), I.I.T. Kanpur(Co-guide : Dr. J.B. Shukla)
'Mathematical Modelling of infectious Diseases: Environmental and Demographical Effects'
Dr. Mini Ghosh (2002), I.I.T. Kanpur(Co-guide : Dr. P.Sinha)
'Some Studies on Peristaltic Transport and Flow in Catheterized Artery: Effects of Micropolar Fluid'
Dr. P. Muthu (2002), I.I.T. Kanpur(Co-guide : Dr. B. V. Rathish Kumar)
'Mathematical Modelling of the depletion of Dissolved Oxygen caused by water pollution and Eutrophication: Effects on survival of Aquatic Populations'
Dr. Arvind Kumar Misra (2005), I.I.T. Kanpur(Co-guide : Dr. J. B. Shukla)
'Modelling and Analysis of the spread of Infectious diseases: Effects oof Environmental and Ecological Factors'
Dr. Shikha Sengar (2006), I.I.T. Kanpur(Co-guide : Dr. J. B. Shukla)
'Mathematical Modeling of HIV Dynamics: in vivo'
Dr. Prashant Kumar Srivastava (2010), I.I.T. Kanpur(Co-guide : Dr. Malay Banerjee)
'Analytical Studies and Computational Simulations on Mixed Convection Process in Fluid Saturated Porous Configurations'
Dr. SVSSNGK Murthy (2010), I.I.T. Kanpur(Co-guide : Dr. BV Rathish Kumar)
'Dynamical Complexity of Some Nonlinear Ecological Systems with Harvesting'
Dr. Ravi P. Gupta (2014), I.I.T. Kanpur(Co-guide : Dr. Malay Banerjee)