Complete list of research papers published in journals / refereed proceedings 1. 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) 2. 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) 3. 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) 4. 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) 5. 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) 6. 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) 7. 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) 8. 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) 9. Mathematical modeling of HIV dynamics: In vivo Mathematics Student, Vol. 78, 2010, 7-27, Peeyush Chandra 10. Mathematics Education in India: Some observations and Concerns, Mathematics Student, Vol. 78, 2010, 1-4, Peeyush Chandra. 11. 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,). 12. Non-Darcy mixed convection in a fluid saturated square porous enclosure under suction effect: Part II, J Porous Media, Vol. 13(9), 799-805, 2010, (with S.V.S.S.N.V.G.K. Murthy, B.V.K.Rathish, V. Sangwan, M. Nigam) 13. Non-Darcy mixed convection in a fluid saturated porous enclosure under suction effect: Part I, J Porous Media, Vol.13(6), 537-554, 2010, (with B.V.K.Rathish, S.V.S.S.N.V.G.K. Murthy, V. Sangwan, M. Nigam), 14. Modelling the Dynamics of HIV and CD+ 4T Cells during primary infection Nonlinear Analysis. Real World Applications,ISSN: 1468-1218, Vol 11 (2), pp 612-618 2010, (with P. K. Srivastava) 15. '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)
16. '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) 17. '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) 18. '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) 19. '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) 20. '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) 21. '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) 22. '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) 23. 'Mathematical modeling of the survival of a biological species in polluted water bodies' - Differential Equation and Dynamical Systems, Vol. 15(3-4), 2007, pp 209-230. (with P. K. Srivastava) 24. '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) 25. 'Modelling the spread of bacterial infectious disease with environmental effect in a logistically growing human population ' - Nonlinear analysis. Real world applications, Vol. 7(3), 2006, pp 341-363. (with Mini Ghosh, Prawal Sinha, J.B. Shukla) 26. 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). 27. Modelling the spread of malaria: Environmental effects (Proc. ICMB-2004), in Mathematical Biology- Recent Trends Anamaya Publishers, New Delhi, 285-290, 2006. (with J. B. Shukla, S. Singh) 28. 'Modelling the spread of bacterial disease: effect of service providers from an environmentally degraded region ' - Applied Mathematics and Computation, Vol. 160 (3), 2005, pp:615-647. (with Mini Ghosh, Prawal Sinha, J.B. Shukla) 29. 'Modelling And Analysis Of The Spread Of Malaria: Environmental And Ecological Effects' - Journal of Biological Systems, Vol: 13 (1), 2005, pp 1-12. (with Shikha Singh and J B Shukla) 30. Theoretical Aspects of Scrap Dissolution in Oxygen Steelmaking Converters (with G. Sethi, A. K. Shukla, P. C. Das & B. Deo) AIS Tech 2004 Proceedings - Volume II, PP - 915-926. 31. 'Krylov Subspace solver in parallel numerical computation of solutions to PDEs modeling heat transfer applications' - Numerical Heat Transfer: Part A, Applications, Vol. 45 (5), 2004, pp 479-503. (with B.V.Rathish Kuamr, Bipin Kuamr, Shalini, Mani Mehra, V. Raghavendra, R.K. Singh, Ajit Mahendra)
32. 'Modelling the Spread of Carrier Dependent Infectious Diseases with Environmental Effect' Applied Mathematics and Computation Vol. 152, 2004, pp 385-402 (with Mini Ghosh, Prawal Sinha, J. B. Shukla) 33. 'Effect of Elastic Wall Motion on Oscillatory Flow of Micropolar Fluid in an annulus' Archive of Applied Mechanics Vol. 73, 2003, pp 481-494 (with P. Muthu, BV Rathish Kumar) 34. Unsteady State Laminar Flow of Viscoelastic Gel and Air in a Channel: Application to Mucus Transport in a Cough Machine Simulating Trachea, Mathematical and Computer Modelling Vol. 38, 2003, pp. 63-75 (with D.K.Satpathy and B.V.Rathish Kuamr) 35. 'Modelling and analysis of the spread of carrier dependant infectious diseases with environmental effects', J. Biological Systems Vol. 11, No. 3, 2003, pp 325-335 (with Shikha Singh, J. B. Shukla) 36. 'On the influence of wall properties' in the peristaltic motion of Micropolar fluids ANZIAM Vol. 45 (2) pp: 245 260, Oct. 2003 (with P. Muthu and B.V. Rathish Kumar) 37. '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) 38. 'A model for inshore-offshore fishery, JOURNAL OF BIOLOGICAL SYSTEMS', vol. 11(1), pp 27-41,2003, (with B. Dubey & P. Sinha). 39. '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). 40. '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). 41. 'Peristaltic Motion in Circular cylindrical Tubes: Effect of Wall Properties'. IJPAM, vol.32(9), 2001 (with P. Muthu and B.V. Rathish Kumar). 42. 'Thermal effects in externally pressurized porous conical bearings with variable viscosity', ACTA MECHANICA, Vol. 149, pp. 215-227, 2001, (with P. sinha & S. Bhartiya ). 43. 'An epidemiological model for carrier-dependent infectious diseases with environmental effect', INTERNATIONAL JOURNAL OF APPLIED SCIENCES AND COMPUTATIONS, Vol. 7 (3), 2000, pp 188-204, (with M. Ghosh, J. B. Shukla & P. Sinha). 44. 'Analysis of non-constant gap externally pressurized conical bearing with temperature and pressure dependent viscosity', JOURNAL OF MECHANICAL ENGINEERING SCIENCE, Vol. 214, pp. 699-710, 2000 (with P.Sinha & S. Bhartiya). 45. 'Theoretical Studies in Ferrofluid Lubrication : A review' (with D.K.Verma, and Prawal Sinha) in Indian J. Enggn. & Materials Science, 1998, pp 396-399. 46. ** 'Flow of Eringen Fluid(Simple Micro Fluid)through an artery with mild stenosis' (with D.Philip) in Int. J. Engg. Sci. vol.34,1996,pp 87-99. 47. 'Flow through a vertical porous tube with peristalsis & heat transfer' (with V.R.Murthy and G.Radhakrishnamacharya), in Advances in Physiological Fluid Dynamics, ed. M. Singh and V.P.Saxena,(Narosa Publication), 1995, pp 147-150. 48. 'Motion of Organism under peristalsis: Application to ovum transport' (with G.R.K. Acharya and R. Sharma) in Advances in Physiological Fluid Dynamics, ed. Megha Singh and V.P.Saxena, (Narosa Publication),1995, pp 141-146.
49. 'Self-propulsion of spermatozoa in microcontinuum: effect of transverse wave motion of channel walls' (with D. Philip) in Archive of Applied Mechanics, vol. 66,1995, pp 90-99. 50. 'THD analysis of non-constant gap, externally pressurized conical bearings' (with S.Saxena and P.Sinha) in Tribology Transactions (STLE), vol.38 (2), 1995, pp 438-444. 51. 'Peristaltic transport of a simple microfluid' (with D. Philip) in Proc. Nat. Acad. Sci. India, vol.65(a),part I,1995, pp 63-74. 52. 'Effect of lubricant inertia in externally pressurized bearings with temperature dependent viscosity' (with S. Saxena and P. Sinha) in Acta Mechanica, vol.106,1994, pp 157-171. 53. 'Pulsatile flow in tubes of varying cross-section with suction/injection' (with J.S.V.R. Krishan Prasad) in J. of Australian Mathematical Soc.,Ser B,vol 35,1994, pp 366-381. 54. 'Effects of heterogeneous and homogeneous reactions on the dispertion of simple microfluid' (with D. Philip) in IJPAM, vol.24 (9), 1993, pp 551-561. 55. 'Flow of a Newtonian fluid through a tube of varying cross-section and reabsorbing walls' (with G. Radhakrishnamacharya) in Far East Journal of Mathematical Sciences, Vol.1, 1993, pp 23-34. 56. 'Ferrofluid Lubricaiton of Externally Pressurized Circular Plates and Conical Bearings' (with P. Sinha & D. Kumar) in Int. J. Engg. Sci., Vol 31(4), 1993, pp. 593-604. 57. 'Thermal and Inertia Effects in Externally Pressurized Conical Bearing' (with P. Sinha & S. Saxena) in Tribology Transactions (STLE), Vol.36(2),1993, pp 304-310. 58. 'Ferrofluid Lubrication of Cylindrical Rollers with Cavitation' (with P. Sinha & D. Kumar) in Acta Mechanica, Vol.98,1993, pp 27-38. 59. 'Low Reynolds Number Flow in Tubes of Varying Cross-section, with Absorbing Walls' (with J.S.V.R. Krishna Prasad) in J. Math. & Physical Sciences, Vol. 26 (1) 1992, pp 19-36. 60. 'Flow of a Visco-elastic Fluid in Tubes of Varying Cross-Section with Suction/Injection' (with J.S.V.R. Krishna Prasad) in Euro. J. Mech. B/Fluids, Vol.11(3), 1992, pp.277-289. 61. 'Ferrofluid squeeze film for spherical and conical bearing' (with P. Sinha & D.Kumar) in Int. J. Engg. Sci., Vol.301,(5), 1992, pp.645-656. 62. 'Ferrofluid Lubrication in Journal Bearing Considering Cavitation' (with P. Sinha & D. Kumar) in Tribology Transactions, Vol.35(1), 1992, pp.163-169. 63. 'Flow through tubes of non-uniform cross-section with permeable walls' (with J.S.V.R. Krishna Prasad) in 'Physiological Fluid Dynamics-III' ed. N.V.C.Swamy & Megha Singh, Narosa Publications,1992, pp.165-170. 64. 'Squeeze Film with Non-Newtonian Magnetic Fluid' (with Prawal Sinha & D. Kumar) IX Nat. Conf. on Industrial Tribology, NCIT-1991, Bangalore. 65. 'On Consistency Variation for Lightly Loaded Rollers in Combined Rolling and Normal Motion' (with Prawal Sinha and S. A. Raj), IX NCIT-1991, Bangalore. 66. 'Flow in Channels of Varying Cross-Section with Permeable Boundaries' (with J.S.V.R. Krishna Prasad) in the Proc. of Nat. Acad. Sci. (India), Vol. 60, 1990, pp 317-326. 67. 'Fluid Flow and Mass Transfer in Simultaneous Mixing Separation and Teeming (SIMSET) Reactor' (with Brahma Deo, Sarbjit Singh and Paul Grieveseon) in Steel Research, 601, 1989, pp. 12-18.
68. 'Effect of Multiple Constrictions on Peristaltic Transport of a Fluid Through a Tube of Non-Uniform Cross-Sections' (with G.R.K.Acharya, J.B. Shukla and Rajiv Sharma) ibid., 1988, pp. 154-162. 69. 'Low Reynolds Number Flow in a Channel with Varying Cross-section and Permeable Boundaries' (with J.S.V.R. Krishna Prasad) in Biomechanics, Ed. by K.B. Sahay and R.K. Saxena, Wiley Eastern, New Delhi, 1988, 39-45. 70. 'Non-Newtonian Magnetic Fluid Lubrication' (with D. Kumar) in Continuum Mechanics and it Appliction (Ed G.A.C. Graham and S.K. Malik), Hemisphere Publishing CO., N.Y.1989, pp 741-750. 71. 'Effects of Peristaltic and Longitudinal Wave Motion of the Channel wall on Movement of Micro-organisms' (with J.B. Shukla, G.R.K. Acharya and R.Sharma) J. Biomechanics, 11(11),1988, pp. 947-954. 72. 'Flow of Magnetic Fluid in a Channel' (with D. Kumar) in J. Magnetism and Magnetic Materials,731,1988,pp.361-366. 73. 'Ovum Transport in Fallopian Tube' (with J.B.Shukla, G. R. K. Acharya and R.Sharma) in Proc.11th Canadian Congress of Applied Mechanics, Alberta, Vol.12,1987, pp. E:66-67. 74. 'Effects of Surface Roughness and Additives in Lubrication : Generalized Reynolds Equation and its Application to Elastohydrodynamic Film' (with P. Sinha, J.S.Kennedy,C.M. Rodkiewicz, R. Sharma and K.R. Prasad) in Proc. Instn. Mech. Engrs., Vol. 2011, No. C1, 1987, pp. 1-9. 75. 'Lubrication of Porous Rollers with Power Law Fluid Using Slip Condition with Reference to Synovial Joints' (with A. Raj and P. Sinha) in 'Physiological Fluid Dynamics - I,1985, pp. 167-173. 76. 'Viscous Flow Through a Permeable Tube of Varying Cross-Section with Reference to Proximal Renal Tubule' (with G. Radhakrishnamacharya) in 'Physiological Fluid Dynamics - I' 1985, pp. 113-118. 77. 'Effects of Peripheral Layer Consistency of Blood Flow in Arteries with Non- Uniform Cross-Section and Multiple Stenoses' (with S. Mukherjee, R. Sharma, G.Radhakrishnamacharya and J.B. Shukla) In 'Physiological Fluid Dynamics I, (ed.s.d.nigam, MeghaSingh) COSTED Publ.1985, pp.55-61. 78. 'Lubrication of Roller Bearings Considering Consistency Variation of Power Law Fluids in Combined Rolling and Normal Motion' (with A. Raj and P. Sinha) in Proc. 4th International Tribology Symposium (Eurotrib '85), Lyon (France)1985. 79. 'Effects of Consistency Variation of Power Law Lubricants in Roller Bearings under Lightly and Heavily Loaded Conditions' (with J.B.Shukla and K.R.Prasad) in Proc. Nat. Conf. on Industrial Tribology, July 1984, pp. RE6.1-6. 80. ** 'Dispersion in Simple Microfluid Flows' (with R.P.Agarwal) in International J. Engineering Sci. 21(5),1983, pp.431-442. 81. 'Effect of Rotation in Lubrication Problems : A New Fundamental solution' (with M.B. Banerjee, G.S. Dube and K. Banerjee) in WEAR 79, 1982, pp. 311-323. 82. 'Effects of Consistency Variation of Power Law Lubricants in Squeeze Films' (with J.B. Shukla and K.R. Prasad) in WEAR 76, 1982, pp. 299-319. 83. 'Effect of Small Rotation in Short Journal Bearings' (with M.B.Banerjee and G.S. Dube) in Nat. Acad. Sci. Letters, 1(9), 1981, pp. 369-372. 84. 'A Hydro dynamical Study of the Flow in Renal Tubules' (with G. Radhakrishnamacharya and M.R Kaimal) in Bull. Mathematical Biology, 43(2),1981, pp. 151-163.
85. 'Comments on Behavior of Viscoelastic Lubricants in reference to Human Joints' in Indian J.Pure and Applied Math.12(4), 1981,pp.537-543. 86. 'Synovial Joint Lubrication: A Review' in Golden Jubilee Commemoration Volume Nat. Acad. Sci. India 1980, pp. 349-368. 87. 'Generalized Reynolds Equation with Slip at Bearing Surfaces: Multiple Layer Lubrication Theory' (with J.B. Shukla and S. Kumar) in WEAR 60,1980, pp. 253-268. 88. 'Study of Surface Roughness Effects on Squeeze Film Lubrication with reference to Synovial Joints' in Proc. Nat. Acad. Sci. India, 50 A, 1980, pp. 53-60. 89. 'Effect of Cartilage Porosity on Synovial Joint Lubrication' in the Prof. P.L. Bhatnagar Commemoration Volume, Nat.Acat.Sci.(India), 1979 pp. 265-279. 90. 'Tribological Study of Diseased Human Joints' (with J.B. Shukla and R.C. Srivastava) in Proc. First World Conf. in Industrial Tribology, New Delhi 1972, Paper No. C4. ** Referred in 'Microcontinuum Field Theories' ( Vol. II) A. C. Eringen, Springer, 2001 as Ref [15] and [112]respectively