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).