Kalyani University :: Faculty Members

I.Lahiri and Kit Wing Yu, On generalized Fermat type functional equations, Comut. Methods Func. Theory, Vol. 7, No. 1, (2007), pp.141 – 149.
I.Lahiri and Pulak Sahoo, On a result of G. Brosch, J. Math. Anal. Appl., Vol. 331, Issue 1 (2007), pp. 532 – 546.
I.Lahiri, Sharing three values with small weights, Hokkaido Math. J., Vol. 36(2007), pp. 129-142.
I. Lahiri and Nintu Mandal, Small functions and uniqueness of meromorphic functions, J. Math. Anal. Appl. Vol.340 (2008), pp. 780-792.
I.Lahiri, Weighted sharing of three values by meromorphic functions, Hokkaido Math. J.,Vol. 37 (2008), pp. 41 – 58.
I. Lahiri and Pulak Sahoo, Uniqueness of meromorphic functions sharing three weighted values, Bull. Malaysian Math. Sci. Soc., (2) 31 (1) (2008), pp. 67 – 75.
I.Lahiri and Rupa Pal, Non-linear differential polynomials sharing 1-points II, Indian J. Math., Vol. 51, No. 2 (2009), pp. 277 – 291.
I. Lahiri and Rupa Pal, Meromorphic functions sharing three values with finite weights, Indian J. Pure Appl. Math., Vol. 40, No. 4 (2009), pp. 275 – 287.
I. Lahiri and Gautam Kumar Ghosh, Uniqueness of entire functions and their derivatives, Ann. Polon. Math., Vol. 96, No. 3 (2009), pp. 239 – 246.
I .Lahiri and R. Pal: Uniqueness of meromorphic functions and weighted sharing, Austral. J. Math. Anal. Appl., Vol. 7, Issue 1(2010).
I. Lahiri and P. Sahoo : On a uniqueness theorem of H.Ueda , J. Korean Math. Soc., Vol. 47, No. 3 (2010), pp. 467 – 482.

Visited Department of Physics and Mathematics, University of Eastern Finland, Joensuu, Finland, during September 13-18, 2010 to act as the official opponent in the open defence of a Ph.D.thesis.

Fellow of the West Bengal Academy of Science and Technology.
Elected as a council member of the Indian Mathematical Society for three years from 2010.

The Influence of Magnetic Field and Slip Velocity or Blood Flow through a Stenosed Artery. Proc. Nat., Seminar on ‘Recent Advances in Appl. Math’. V. U.(2004), p. 1 – 7.

Effect of Radiation on MHD Vertical Channel Flow. Bull. Cal. Math. Soc., Vol. 98 (2006), p. 487 – 496.

Heat Transfer in Steady Laminar Flow and Blood Oxygenation in Channels with Boundary Irregularities. Bull. Cal. Math. Soc., Vol. 98 (2006), p. 613 – 626.

An Analysis of Aortic Pressure Curve During a Cardiac Cycle, Acta. Cien. Indica, Vol. 32M (2006), p. 1063 – 1066.

Stratified Convective Flow of a Conducting Fluid Through an Inclined Porous Channel. Acta. Cien. Indica, Vol. 32M (2006), p. 1167 – 1173.

D.C.Sanyal and S.Debnath : Effect of dust particles on the transport of air in trachea with time – dependant pressure gradient , International Journal of Engineering Mathematics : Theory and Applications , Vol. 7 (2009) , pp.145 – 162 .

D.C.Sanyal and S. Debnath : Heat transfer in a two layered blood flow model in a narrow tube in presence of magnetic field ,African Journal of Mathematical Physics , Vol. 7 (2009) , pp. 1 -8.

D.C.Sanyal and S. Debnath : On relative coefficients of viscosity of blood through narrow vessel , Bulletin of the Allahabad Mathematical Society ,Vol. 25 (Prof. T. Pati Memorial Volume) (2010) , pp. 137 – 147.

D.C.Sanyal and A.Biswas :Pulsatile motion of blood through an axi-symmetric artery in presence of magnetic field , Assam University Journal of Science and Technology , Vol. 5 (2010) , pp. 12 – 20.

D.C.Sanyal and A. Biswas :Two dimensional peristaltic motion of blood through a circular tube , Bulletin of the Society of Mathematics Banjaluka , Vol. 17 (2010) , pp. 43 – 53.

D.C.Sanyal and A.Biswas : A mathematical model on genetic allele of codominants or remidominants , International Journal of computational Intelligence and Informatics , Accepted for publication (2010).

D.C.Sanyal and A. Biswas :Mathematical analysis on the genetic dissimilarities in traits , The Journal of Indian Academy of Mathematics , Accepted for Publication (2010).

D.C.Sanyal and A. Biswas :Influence of magnetic field on pulsatile motion of blood through a thin – walled elastic artery , International Journal of Computational Intelligence and Health care Informatics , Accepted for Publication (2010).

An Inflationary Inventory Model with Time Dependent Demand with Weibull Distribution Deterioration and Partial Backlogging Under Permissible Delay in Payments: Control & Cybernetics. vol. 36, no. 1, 203-217, 2007.

An inventory model for deteriorating item and optimal production stopping under multi-lot size production. International journal of computer mathematical sciences and Applications, vol. 1, pp. 119-128, 2007.

Optimal replenishment policy for perishable seasonal products in a season with ramp-type time dependent demand. Computers and Industrial Engineering. vol. 54, pp. 301-314, 2008.

An order level inventory model for perishable seasonal product with demand fluctuation. Journal of Applied mathematics and informatics. vol. 26 . no. 20. pp. 615-625, 2008.

Economic analysis of an inflationary inventory model with sinusoidal cash flow Weibull Distribution Deterioration and partial backlogging: present worth approach, International journal of computer mathematical sciences and Applications, vol. 1, no. 2 pp. 205-220, 2008.

M.Basu and B . Prasad :Coding theory on the m-extension of the Fibonacci p-numbers , Chaos , Solition and Fractals Vol. 42 (2009), pp. 2522 – 2530.

M.Basu and B . Prasad : The generalized relations among the code elements for Fibonacci coding theory , Chaos , Solitons and Fractals Vol. 41 (2009), pp. 2517 – 2525.

S.Panda ,S.Saha and M. Basu : Optimal production stopping time for perishable products with ramp-type quadratic demand dependant production Sctup cost , Central European Journal of Operational Research , Vol. 17 , No. 4 (2009), pp. 381 – 396.

M.Basu and S.Bagchi : New bounds on the minimum average distance of binary codes ,J.Sci. Res Vol. 2 , No. 3 (2010), pp. 489 – 493.

M.Basu and B. Prasad : Long range variations on the Fibonacci universal code , ournal of Number Theory, vol. 130 (2010) , pp. 1925 – 1931.

M.Basu and B. Prasad : Average distance and minimum average distance of binary constant weight code and its properties , Discrete Mathematics , Algorithms and Applications , Vol. 2 No. 3(2010), pp. 379 – 388.

S. Saha and M.Basu : Integrated dynamic pricing for seasonal products with price and time dependent demand , Asia – Pacific Journal of operational Research (1) , Vol. 27, No. 3 (2010) , pp. 1-17.

S. Saha ,S.Das and M. Basu : Optimal pricing and production lot – sizing for seasonal products over a finite horizon , International Journal of Mathematics in Operational Research ,Vol. 2, No.5 (2010), pp. 540 – 553.

M.Basu ,S.Bagchi and D.K.Ghosh : Square designs on new binary ((3^n - 1)/2, (3^n -1)/2, 2.3n – 2) codes , International Mathematical Forum , Accepted for publication , 2010.

Book
A book on 'Raikhik Programming' will be published soon from Paschim Banga Rajya Pusthak Parshad

"A goal programming procedure for solving problems with multiple fuzzy goals using dynamic programming", European Journal of Operational Research, Vol. 144, No. 3, pp. 480-491, 2003

"A goal programming procedure for solving quadratic bilevel programming problems", International Journal of Intelligent Systems, vol. 18, No.5, pp. 529-540, 2003

"A goal programming procedure for fuzzy multiobjective linear fractional programming problem", Fuzzy Sets and Systems, vol. 139, No.2, 2003, 395-405

Fuzzy Goal Programming Approach to Long - Term Land Allocation Planning Problem in Agricultural System : A Case Study (2003), Proceedings of the 5th International Conference on advances in pattern recognition, Allied Publishers Pvt. Ltd. pp. 441-447

A linear Multilevel Programming Method Based on Fuzzy Programming (accepted for Publication), Proceedings of the 6th International Conference of Asia Pacific Operational Research Societies (APORS 2003) within IFORS

"A fuzzy goal programming approach for solving bilevel programming problems", in Advances in Soft Computing - AFSS 2002, Lecture Notes in Artificial Intelligence Series, No. 2275, pp. 91-98, Springer-Verlag, Heidelberg, 2002

A fuzzy goal programming procedure for linear fractional bilevel programming problems, International Journal of Management and Systems, Vol. 21(1), pp. 35 – 52, 2005

A Fuzzy Multilevel Programming Method for Hierarchical Decision Making”, in Lecture Notes in Computer Science, Vol. 3316, pp. 904 – 911, Springer Verlag, Berlin: 2004.

Application of Fuzzy Goal Programming Technique to Land Use Planning in Agricultural System”, Omega, Vol. 33, pp. 391 – 398, Elsevier Science: 2005.

Fuzzy Goal Programming Procedure for Multiobjective Bilevel Programming Problems, International Journal of Computer Mathematical Sciences and its Applications, Vol.1(1), 2007.

“Taylor Series Approximation Method for Solving Interval-Valued Multiobjective Fractional Programming Problems Using Goal Programming”, International Journal of Computational Intelligence Research (IJCIR), Vol. 6, No. 4, pp.879–886, 2010.

“A Genetic Algorithm Based Mixed 0-1 Goal Programming Approach to Interval-Valued Multiobjective Bilevel Programming”, International Journal of Fuzzy Systems and Rough Systems (IJFSRS) , Vol. 4, No.1, pp. 25-32, 2011,.

“Priority Based Fuzzy Goal Programming Approach for Fractional Multilevel Programming Problems” International Review of Fuzzy Mathematics(IRFM), Vol. 6, No. 1-2, pp. 1-14, 2011

“Using Genetic Algorithm for Solving Linear Multilevel Programming Problems via Fuzzy Goal Programming”, Communications in Computer and Information Science: CCIS 140 , Springer , Heidelberg , PP. 79- 88,2011

“The Use of Chance Constrained Fuzzy Goal Programming for Long-Range Land Allocation Planning in Agricultural System”, Communications in Computer and Information Science: CCIS 140 , Springer , Heidelberg, PP. 174- 186, 2011.

“A Linear Goal Programming Approach to Multiobjective Fractional Programming with Interval Parameter Sets”, International Journal of Mathematics in Operational Research(IJMOR, Inderscience), Vol. 3, No. 6, PP. 697-714, 2011.

“A Priority-Based Goal Programming Method for Solving Academic Personnel Planning Problems with Interval-Valued Resource Goals in University Management System”, International Journal of Applied Management Science( IJAMS, Inderscience) : Spl. Issue on: New Combinatorial Optimization Models for Decision Making, Vol. 4, No. 3, 2011( in Press).

"A Genetic Algorithm-Based Fuzzy Goal Programming Approach for Solving Fractional Bilevel Programming Problems", International Journal of Operational Research (IJOR, Inderscience), 2011( in Press).

“Using Genetic Algorithm to Fuzzy Goal Programming Formulation of Optimal Electric Power Generation and Dispatch”, International Journal of Electrical Energy Systems (IJEES), 2011 (in Press).

“An Application of Genetic Algorithm Method for Solving Patrol Manpower Deployment Problems Through Fuzzy Goal Programming in Traffic Management System: A Case Study”, International Journal of Bio-Inspired Computation (IJBC, Inderscience), Spl. Issue on: Intelligent and Evolutionary Systems, 2011 (in Press).

J.Chattopadhyay and S.Pal: Viral infection on phytoplankton-zooplankton system- a mathematical model.Ecological Modelling 151, 15-28, (2002) Elsevier.

J.Chattopadhyay, S.Pal and A.El Abdllaoui: Classical predator-prey system with viral infection on prey.Mathematical Methods in the Applied Sciences, 26, 1211-1222, (2003) John Wiley & Sons, Ltd., U.S.A.

J.Chattopadhyay, R.R.Sarkar and S.Pal: Dynamics of nutrient-phytoplankton interaction in the presence of viral infection. Bio Systems, 68, 5-17, (2003) Elsevier.

J.Chattopadhyay, R.R.Sarkar and S.Pal : Mathematical modelling of harmful algal blooms supported by experimental findings. Ecological Complexity, 1, 225-235, (2004) Elsevier.

R.R.Sarkar, S.Pal and J.Chattopadhyay: Role of two toxin-producing plankton and their effect on phytoplankton-zooplankton system-a mathematical study supported by experimental findings. Bio Systems,1, 11-23, (2005), Elsevier.

S.Pal, K.Kundu and J.Chattopadhyay: Role of standard incidence in an eco-epidemiological system-a mathematical study. Ecological Modelling, 199(3), 229-239,(2006), Elsevier.

S.Pal, Samrat Chatterjee and J.Chattopadhyay: Role of toxin and nutrient for the occurrence and termination of plankton bloom - Results drawn from field observations and a mathematical model. Bio Systems 90, 87-100, (2007), Elsevier.

Samrat Chatterjee, S.Pal and J.Chattopadhyay: Role of migratory birds under environmental fluctuation- A mathematical study. Journal of Biological System. 16(1), 81-106, (2008), World Scientific.

Bairagi, N., Pal, S., Chatterjee, S. and Chattopadhyay, J.: Nutrient, Non-toxic Phytoplankton, Toxic Phytoplankton and Zooplankton Interaction in an Open Marine System. In : Aspects of Mathematical Modeling, R.J.Hosking and E.Venturino (Eds.), Mathematics and Biosciences in Interaction. 41-63, (2008), BirkhauserVerlag Basel/Switzerland,

S.Pal, Samrat Chatterjee and J.Chattopadhyay: Role of competition in phytoplankton population for the occurrence and control of plankton bloom in the presence of environmental fluctuations. Ecological Modelling, 220, 96-110, (2009), Elsevier .

S. Chakraborty, S. Pal and N. Bairagi: Dynamics of a ratio-dependent eco-epidemiological system with prey harvesting. Nonlinear Analysis Series: Real World Applications, 11, 1862-1877, (2010), Elsevier.

J.Bhattacharyya and S.Pal: Coexistence of competing predators in coral reef ecosystems. Nonlinear Analysis: Real World Applications, 12, 965-978, (2011), Elsevier.

S. Chakraborty, S. Pal and N. Bairagi: Management and analysis of a predator-prey fishery model. Nonlinear Studies, (Accepted, In Press).

Anal Chatterjee and Samares Pal: Effect of dilution rate on the predictability of a realistic ecosystem model with instantaneous nutrient recycling. Journal of Biological Systems, DOI No.: 10.1142/S021833901100410X World Scientific.

A. Chatterjee, S. Pal and S. Chatterjee: Bottom up and top down effect on toxin producing phytoplankton and its consequence on the formation of plankton bloom. Journal of Applied Mathematics and Computation, DOI No.: 10.1016/j.amc.2011.08.082 Elsevier.

Invited to deliver a talk on "Role of toxin producing phytoplankton for coexistence of planktonic ecosystem" in the Workshop on Quantitative Ecology during 09-20 May 2005 at the International Centre for Theoretical Physics (ICTP), Trieste, Italy.

Invited to deliver a talk on “Mathematical Modelling on harmful algal blooms in the presence of toxic substances” in the International Congress on Industrial and Applied Mathematics (ICIAM07) during 16-20 July 2007 at ETH Zurich and University of Zurich, Zurich, Switzerland.

Invited to deliver a talk on "Non-toxic phytoplankton, toxic phytoplankton and zooplankton interaction in the presence of environmental fluctuations” in the Advanced School and Conference on Statistics and Applied Probability in Life Sciences during 24 September-12 October 2007 at the International Centre for Theoretical Physics (ICTP), Trieste, Italy.

Invited to participate in the “Special Semester on Quantitative Biology Analyzed by Mathematical Methods” held during November 11-25, 2007 at RICAM-Johan Radon Institute for Computational and Applied Mathematics, Linz, Austria.

Invited to deliver a talk on "Role of toxic phytoplankton in open marine system” in the European Conference on Ecological Modelling (ECEM07) held during November 27-30, 2007 at the International Centre for Theoretical Physics (ICTP), Trieste, Italy.

Invited to deliver a talk on "Role of infection in an eco-epidemiological system-a mathematical study” in the Joint ICTP-IAEA Conference on Predicting Disease Pattern According to Climate Changes during 12-14 May 2008 at the International Centre for Theoretical Physics (ICTP), Trieste, Italy.

Invited to participate and to present a paper entitled “Role of toxin producing phytoplankton for the occurrence and control of plankton bloom in the presence of environmental fluctuations- a mathematical study” in the International Conference on Mathematical Biology: Modelling and Differential Equations, organized by CRM and held in Bellaterra, Barcelona, Spain from February 9 to 13, 2009.

Invited to participate and to present a paper entitled “Competing effects of phytoplankton for the occurrence and control of plankton bloom in the presence of environmental fluctuations-a mathematical study” in the Workshop on Theoretical Ecology and Global Change organized by International Centre for Theoretical Physics (ICTP), Trieste, Italy from 02-13 March 2009.

Invited to participate and to present a paper entitled “Non-toxic phytoplankton, toxin producing phytoplankton and zooplankton interaction in an open marine system” in the Workshop and Conference on Biogeochemical impacts of Climate and Land-Use Changes on Marine Ecosystems organized by International Centre for Theoretical Physics (ICTP), Trieste, Italy from 02-10 November 2009.

Invited to give a lecture in the Analysis and Applied Mathematics Seminar held on October 26, 2010 at Department of Mathematics, Kennesaw State University, Georgia, USA.

Invited to participate and presented a paper in the 10th Annual Red Raider Mini-Symposium held during October 28 - 30, 2010 at Department of Mathematics, Texas Tech University, Texas.

Invited to participate and to present a paper entitled “Role of infection in an eco-epidemiological system - a mathematical study” in the Blackwell-Tapia Conference held during November 5-6, 2010 at MBI, Ohio State University, Ohio.

Invited to give a lecture in the Applied Mathematics Seminar during November 10-13, 2010 at Department of Mathematics, University of Miami, Coral Gables, Florida, USA.

Invited to give a lecture in the Bio-Mathematics during November 29-December 04, 2010 at Department of Mathematics, University of Florida, Gainesville, Florida, USA.

Invited to participate and to present a paper entitled “Dynamics of Holling type III stage structured system with cannibalism and harvesting of matured predator” in Mathematical Biology Workshop and IGTC Summit at the University of Victoria, Victoria, BC, Canada during 14-16 July, 2011.

Invited to participate and to present a paper entitled “The Role of Space in Stage-structured Cannibalism with Harvesting of Predator” in the International Congress on Industrial and Applied Mathematics (ICIAM 2011) held during 18-22 July 2011 at Vancouver, BC, Canada.

Invited to participate and to present a paper entitled “Role of constant nutrient input and mortality rate of planktivorous fish in plankton community ecosystem with instant nutrient recycling” in the Fifth G.J.Butler International Conference on Mathematical Biology and Differential Equations held during 25-30 July 2011 at University of Alberta, Edmonton, Alberta, Canada.

A. Biswas & B. B. Pal (2004): A Fuzzy Multilevel Programming Method for Hierarchical Decision Making. Lecture Notes in Computer Science. Vol. 3316, pp. 904 – 911, Springer Verlag.

A. Biswas & B. B. Pal (2005): Application of Fuzzy Goal Programming Technique to Land Use Planning in Agricultural System. Omega. Vol. 33, pp. 391 – 398, Elsevier Science.

A. Biswas & B. B. Pal (2007): Fuzzy Goal Programming Procedure for Multiobjective Bilevel Programming Problems. International Journal of Computer Mathematical Sciences and its Applications. Vol. 1, pp. 87 – 98, Serial Pub.

B. B. Pal & A. Biswas (2007): Fuzzy Goal Programming Approach for Solving Bilevel Decentralized Planning Problems. International Journal of Mathematical Sciences. Vol. 6, pp. 391 – 401, Serial Pub.

A. Biswas & K. Bose (2010): A Fuzzy Goal Programming Technique for Solving Fully Fuzzified Quadratic Bilevel Constrained Programming Problems. In: Proceedings of International Conference on Operations and Management Sciences (ICOMS-2010). pp. 144 – 152, Excel India Publishers, India.

A. Biswas, D. Majumdar & S. Sahu (2011): Assessing Morningness of a Group of People by using Fuzzy Expert System and Adaptive Neuro Fuzzy Inference Model. Communications in Computer and Information Science. Vol. 140, pp. 47 – 56, Springer Verlag.

A. Biswas & K. Bose (2011): A Fuzzy Programming Approach for Solving Quadratic Bilevel Programming Problems with Fuzzy Resource Constraints. International Journal of Operational Research. Vol. 12, pp. 142 – 156, Inderscience.

A. Biswas & N. Modak (2011): A Fuzzy Goal Programming Method for Solving Chance Constrained Programming with Fuzzy Parameters. Communications in Computer and Information Science. Vol. 140, pp. 187 – 196, Springer Verlag.

A. Biswas and K. Bose (2011): Fuzzy Goal Programming Approach for Quadratic Fractional Bilevel Programming. In: Proceedings of the 2011 International Conference on Scientific Computing (CSC 2011), pp. 143 – 149, CSREA Press, USA.

International Conference and Instructional Workshop on Industrial Mathematics (ICIWIM 2002), held at IIT Bombay during 7 – 9th December, 2002.

6th International Conference of the Association of Asis Pacific Operational Research Societies within IFORS (APORS 2003) held at Hotel Grand Intercontinental, New Delhi, during 8 – 11th December, 2003.

11th International Conference on Neural Information Processing (ICONIP – 2004), held at Science City, Calcutta during 22 – 25th November, 2004.

National Seminar on Fuzzy Mathematics and its Applications, held at Tripura University during 25 – 26th November, 2006.

Decision Making Tools in Engineering, held at IIT Kharagpur, 11 – 24th December, 2006.

Science Conclave: A Congregation of Nobel Prize Winners, held at IIIT, Allahabad during 15 – 21th December, 2008.

International Conference on Operations Research Applications in Engineering and Management (ICOREM), held at Anna University, Tiruchirappalli during 27 – 29th May, 2009.

International Conference on Operations and Management Sciences – 2010 (ICOMS 10), held at IMT, Nagpur during 12 – 13th February, 2010.

National Workshop on Soft Computing and Mathematical Modeling (NWSCMM - 2010), Gandhigram Rural Institute, Tamil Nadu during 15 – 20th February, 2010.

International Congress of Mathematicians (ICM 2010), at HICC, Hyderabad during 19 – 27th August, 2010.

International Congress on Productivity, Quality, Reliability, Optimization and Modelling (ICPQROM 2011) held at India Habitat Centre, Delhi during 7 – 8th February 2011.

International Conference on Logic, Information, Control and Computation (ICLICC 2011) held at Gandhigram Rural Institute, Tamil Nadu during 25 – 27th February, 2011.

The 2011 International Conference on Scientific Computing (CSC’11) jointly held with WORLDCOMP’11 at Monte Carlo Resort, Las Vegas, USA, during 18 – 21st July, 2011.

(With N. Hindman) Image Partition regularity near zero, Discrete Mathematics 309 (2009) 3219-3232.(MR2526740).

(With N. Hindman and D. Strauss) Sets Central with Respect to Certain Subsemigroups of $\beta S_d$, Topology Proceedings 33 (2009), 55- 79.(MR2471562).

(With R. K. Paul) Universally image partition regular matrices, The Electronic journal of combinatorics 15 (2008), #R141.(MR2465765).

(With N. Hindman and D. Strauss) A new and stronger central sets theorem, Fundamenta Mathematicae 199 (2008), 155-175.(MR2410923).

Combined algebraic properties of central* sets, Integers, Electronic journal of combinatorial number theory 7 (2007), A37.(MR2342195).

S.K. Acharyya and D. De : Existence of far points in the growth of the Sorjenfrey line , Southeast Asian Bulletin of Mathematics , Vol 33 (2009) , pp.821 – 826.

D.De and N.Hindman :Image partition regularity near zero, Discrete Mathematics ,Vol. 309 (2009), pp. 3219 – 3232.

D. De and N.Hindman and D.Strauss : Sets central with respect to certain Subsemigroups of BSD Topology Proceedings , Vol. 33 (2009) , pp. 55 – 79.