Year : 2024

Mondal, C., Das, P., Bairagi, N.: Transmission dynamics and optimal control strategies in a multi-pathways delayed HIV infection model with multi-drug therapy. European Physical Journal Plus, 139: 124, 2024.

Saha, P., Bairagi, N. and N’Guerekata, G. M.: Positivity and dynamics preserving discretization schemes for nonlinear evolution equations. Malaya Journal of Matematik, 12(01), 1–20, 2024.

Haldar, S., Das, P., Ghosh, S., Bairagi, N. and Chatterjee, S.: Studying the role of random translocation of GLUT4 in cardiomyocytes on calcium oscillations. Applied Mathematical Modelling, 125(B), 599-616, 2024.

Year : 2023

Majumder, A., Bairagi, N.: Is large-scale vaccination sufficient for controlling the Covid-19 pandemic with uncertainties? A model-based study. Nonlinear Dynamics, doi.org/10.1007/s11071-023-09077-3, 2023.

Sarkar, B., Bhattacharya, S., Bairagi, N.: Dynamic behaviour of a single-species nonlinear fishery model with infection: The role of fishing tax and time-dependent market price. Journal of Nonlinear Sciences and Applications, 16(3), 145-167, 2023.

Marick, S., Bhattacharya, S., Bairagi, N.: Dynamic properties of a reaction-diffusion predator-prey model with nonlinear harvesting: A linear and weakly nonlinear analysis. Chaos, Solitons and Fractals, 175, 113996, 2023.

Sarmah, D. T., Bairagi, N. and Chatterjee, S.: A data-driven multilayer approach for the identification of potential therapeutic targets in non-alcoholic steatohepatitis. Physica A, 624, 128955, 2023.

Sarkar, B., Bhattacharya, S., Bairagi, N.: An ecological-economic fishery model: Maximizing the societal benefit through an integrated approach of fishing and ecotourism. Mathematical Methods in Applied Sciences, 46(14) 14962-149827, 2023.

Bairagi, N., Bhattacharya, S. Sarkar, B.: Demand-induced regime shift in fishery: A mathematical perspective. Mathematical Biosciences, 361, 109008, 2023.

Marick, S., Ghorai, S., Bairagi, N.: Dynamic characteristics of a hyperbolic reaction-diffusion predator-prey system with self-diffusion and non-identical inertia. Mathematical Methods in Applied Sciences, 46(13), 14407-14421, 2023.

Pattanayak, D., Mishra, A., Dana, S. K., Bairagi, N.: Multimodal distribution of transient time of predator extinction in a three-species food chain. Chaos: An Interdisciplinary Journal of Nonlinear Science, 33, 043122 (1-14), 2023.

Sarmah, D.T., Gujjar, S., Mathapati, S., Bairagi, N. and Chatterjee, S.: Identification of critical autophagy-related proteins in diabetic retinopathy: A multi-dimensional computational study. Gene, 866, 147339, 2023.

Sarmah, D.T. Dipanka Tanu Sarmah, D. K., Kumar, S, Chatterjee, S. and Bairagi, N. Dissecting big RNA-Seq cancer data using machine learning to find disease-associated genes and the causal mechanism. Published in Big Data Analytics in Chemoinformatics and Bioinformatics, Edited by Basak, Elsevier, ISBN: 978-0-323-85713-0, 2023.

Year : 2022

Ghorai, S. and Bairagi, N.: Instabilities in hyperbolic reaction–diffusion system with cross diffusion and species-dependent inertia. Chaos, Solitons & Fractals, 165, 112800, 2022.

Mondal, C. Aadak, D. and Bairagi, N., Optimal drug therapy in a multi-pathways HIV-1 infection model with immune response delay. Trends in Biomathematics: Stability and Oscillations in Environmental, Social, and Biological Models, ed. By R. P. Mondaini, Springer Nature Switzerland, doi.org/10.1007/978-3-031-12515-7_6, 2022.

Majumder, A., Adak, D., Bala, T. K. and Bairagi, N. Global picture of Covid-19 pandemic with emphasis on European Subcontinent. Published in Health Care Waste Management and COVID 19 Pandemic, Edited by Sadhan Kumar Ghosh, Pariatamby Agamuthu, Springer, ISBN-978-981-16-9335-9, 2022.

Majumder, A., Sardar, S. and Bairagi, N.: The effect of noise in an HIV infection model with cytotoxic T-lymphocytic impairment. Chaos: An interdisciplinary Journal of Nonlinear Science, 32(11):113131, doi: 10.1063/5.0105770, 2022.

Paul, A., Salman, A., Das, P. N., Bairagi, N., Chatterjee, S.: Elucidating the metabolic characteristics of pancreatic β-cells from patients with type 2 diabetes (T2D) using a genome-scale metabolic modeling. Computers in Biology and Medicine, 144, Doi: org/10.1016/j.compbiomed.2022.105365, 2022.

Ghorai, S., Poria, S., Bairagi, N.: Diffusive instability in hyperbolic reaction–diffusion equation with different inertia. Chaos: An interdisciplinary Journal of Nonlinear Science, 32, Doi: 10.1063/5.0071959, 2022.

Mondal, C., Majumder, A., Adak, D., Bairagi, N.: Mitigating the transmission of infection and death due to SARS CoV-2 through non-pharmaceutical interventions and repurposing drugs. epidemic model. ISA Transactions, 124, 236-246, 2022.

Year : 2021

Ghorai, S., Chakraborty, B., Bairagi, N.: Preferential selection of zooplankton and emergence of spatiotemporal patterns in plankton population. Chaos, Solitons and Fractals, 153, 111471, 2021.

Pattanayak, D., Mishra, A., Dana, S. K., Bairagi, N. 2021. Bistability in a tri-tropic food chain model: Basin stability perspective. Chaos, Doi: 10.1063/5.0054347.

Sarmah, D. K., Bairagi, N., Chatterjee, S. 2021. The interplay between DNA damage and autophagy in lung cancer: A mathematical study. Biosystems, 206, 10443.

Bairagi, N., Bhattacharya, S., Auger, P., Sarkar, B.: Bioeconomics fishery model in presence of infection: Sustainability and demand-price perspectives. Applied Mathematics and Computation, 405(2021) 126225, Doi:10.1016/j.amc.2021.126225, 2021.

Majumder, A., Adak, D. Bairagi, N.: Persistence and extinction of species in a disease-induced ecological system under environmental stochasticity. Physical Review E, 103, Doi: 10.1103/PhysRevE.103.032412 , 2021.

Majumder, A., Adak, D. Bairagi, N.: Persistence and extinction criteria of Covid-19 pandemic: India as a case study, Stochastic Analysis and Applications, Doi: 10.1080/07362994.2021.1894172, 2021.

Chakraborty, B., Baek, H., Bairagi, N.: Diffusion-induced regular and chaotic patterns in a ratio-dependent predator–prey model with fear factor and prey refuge. Chaos, Doi: 10.1063/5.0035130, 2021.

Paul, A., Anand, R., Karmakar, S. P., Rawat, S., Bairagi, N., Chatterjee, S.: Exploring gene knockout strategies to identify potential drug targets using genome-scale metabolic models. Scientific Reports, 11(1), 1-13, 2021.

Gupta, A. Kumar, A. Anand, R., Bairagi, N., Chatterjee, S.: Genome scale metabolic model driven strategy to delineate host response to Mycobacterium tuberculosis infection. Molecular Omics, Doi. 10.1039/D0MO00138D, 2021.

Year : 2020

Adak, D., Bairagi, N., Hakl, R.: Accounting for multi-delay effects in an HIV-1 infection model with saturated infection rate, recovery and proliferation of host cells. BIOMATH, 9(2), 2012297, 2020.

Sarmah, D. K., Bairagi, N., Chatterjee, S.: Tracing the footsteps of autophagy in computational biology. Briefings in Bioinformatics, Doi.org/10.1093/bib/bbaa286, 2020.

Paul, A., Chatterjee, S., Bairagi, N.: Covid-19 transmission dynamics during the unlock phase and significance of testing. Journal of Vaccines & Vaccination, 11(6), 1000433, 2020.

Saha, S., Mishra, A., Dana, S. K., Hens, S., Bairagi, N.: Infection spreading and recovery in a square lattice. Physical Review E, 102(5), doi: 10.1103/PhysRevE.102.052307, 2020.

Adak, D., Majumder, A. Bairagi, N.: Mathematical perspective of Covid-19 pandemic: disease extinction criteria in deterministic and stochastic models. Chaos, Solitons & Fractals, doi.org/10.1016/j.chaos.2020.110381, 2020.

Majumder, A., Bala, T., Adak, D., N’Guerekata, G. M., Bairagi, N.: Evaluating the current epidemiological status of Italy: Insights from a stochastic epidemic model. Nonlinear Studies, 27(4), 1169-1177, 2020.

Mondal, C., Majumder, A., Adak, D., Bairagi, N.: Mitigating the transmission of infection and death due to SARS CoV-2 through non-pharmaceutical interventions and repurposing drugs. epidemic model. ISA Transaction, doi.org/10.1016/j.isatra.2020.09.015, 2020.

Majumder, A., Adak, D., Bairagi, N.: Phytoplankton-zooplankton interaction under environmental stochasticity: Survival, extinction and stability. Applied Mathematical Modelling, 2020, doi.org/10.1016/j.apm.2020.06.076.

Das, P. N., Kumar, A., Bairagi, N. and Chatterjee, S.: Effect of delay in transportation of extracellular glucose into cardiomyocytes under diabetic condition: a study through mathematical model. Journal of Biological Physics, 46, 253-281, 2020.

Chakraborty, B., Ghorai, S., Bairagi, N.: Reaction-diffusion predator-prey-parasite system and spatiotemporal complexity. Applied Mathematics and Computations, 386, 125518, 2020.

Mondal, S., Cao, X., Bairagi, N. Study of a discretized fractional-order eco-epidemiological model with prey infection, Fractional Differential Calculus, 10(1) 109-128, 2020.

Das, P. N., Halder, S., Bairagi, N. and Chatterjee, S.: Delay in ATP-dependent calcium inflow may affect insulin secretion from pancreatic beta-cell. Applied Mathematical Modelling, 84, 202-221, 2020.

Ghorai, S., Chakraborty, P., Poria, S. and Bairagi, N.: Dispersal-induced pattern forming instabilities in host-parasitoid metapopulations. Nonlinearity, doi.org/10.1007/s11071-020-05505-w, 2020.

Adak, D., Bairagi, N., and Hakl, R. Chaos in delay-induced Leslie–Gower prey–predator–parasite model and its control through prey harvesting. Nonlinear Analysis: Real World Applications, 51, 102998, 2020.

Mondal, S., Biswas, M. and Bairagi, N.: Local and global dynamics of a fractional order predator-prey system with habitat complexity and the corresponding discretized fractional order system. Journal of Applied Mathematics and Computing, doi.org/10.1007/s12190-020-01319-6, 2020.

Biswas, M. and Bairagi, N.: On the dynamic consistency of a two-species competitive discrete system with toxicity: Local and global analysis, Journal of Computational and Applied Mathematics, 363, 145-155, 2020.

Year : 2019

Mondal, C., Adak, D. and Bairagi, N.: Optimal control in a multi-pathways HIV-1 infection model: A comparison between mono-drug and multi-drug therapies. International Journal of Control, DOI: org/10.1080/00207179.2019.1690694, 2019.

Adak, D. and Bairagi, N.: Bifurcation analysis of a multi-delayed HIV model in presence of immune response and understanding of in-host viral dynamics, Mathematical Analysis in Applied Sciences, 42(12), 4256-4272, 2019.

Gupta, A., Das, P. N., Bouzeyen, R., Karmakar, S. P., Singh, R., Bairagi, N., Chatterjee, S.: Restoration of cytosolic calcium inhibits Mycobacterium tuberculosis intracellular growth: Theoretical evidence and experimental observation. Journal of Theoretical Biology, 472, 110-123, 2019.

Mondal, S., Bairagi, N. and N’Guerekata, G. M.: Global stability of a Leslie-Gower-type fractional order tritrophic food chain model, Fractional Differential Calculus, 9(1) 149-161, 2019.

Bairagi, N., Saha, S., Chaudhuri, S. and Dana, S. K.: Zooplankton selectivity and nutritional value of phytoplankton inﬂuences a rich variety of dynamics in a plankton population model. Physical Review E, 99, 012406, 2019.

Chakraborty, B. and Bairagi, N.: Complexity in a prey-predator model with prey refuge and diffusion. Ecological Complexity, 37, 11–23 2019.

Saha, S., Bairagi, N. and Dana, S. K.: Chimera states in ecological network under weighted mean-field dispersal of species. Frontiers in Applied Mathematics and Statistics 5:15, 2019. doi: 10.3389/fams.2019.00015.

Year : 2018

Saha, P. and Bairagi, N.: Dynamics of vertically and horizontally transmitted parasites: continuous vs discrete models. International Journal of Difference Equations, 13(2), 139-156, 2018.

Biswas, M., Lu, X., Cao, X. and Bairagi, N.: On the dynamic consistency of a delay-induced discrete predator-prey model. International Journal of Difference Equations, 13(1), 1-17, 2018.

Adak, D and Bairagi, N.: Analysis and computation of multi-pathways and multi-delays HIV-1 infection model, Applied Mathematical Modelling, 54, 517-537, 2018.

Biswas, M., Lu, X., Cao, X., Bairagi, N.: Preserving Dynamic Behaviors of a Delay-Induced Discrete Predator-Prey Model, International Journal of Difference Equations 13 (1), 1-1 , 2018.

Year : 2017

Mondal, S., Lahiri, A., Bairagi, N.: Analysis of a fractional order eco-epidemiological model with prey infection and type 2 functional response. Mathematical Methods in Applied Sciences, 40(18), 6776-6789, 2017.

Mondal, S., Lahiri, A., Bairagi, N.: A fractional calculus approach to Rosenzweig-MacArthur predator-prey model and its solution. J. Modern Methods in Numerical Mathematics 8, 66–76, 2017.

Bairagi, N. and Adak, D.: Dynamics of cytotoxic T-lymphocytes and helper cells in human immunodeficiency virus infection with Hill-type infection rate and sigmoidal CTL expansion. Chaos, Solitons & Fractals, 103, 52-67, 2017.

Das, P. N., Mehrotra, P., Mishra, A., Bairagi, N. and Chatterjee, S.: Calcium dynamics in cardiac excitatory and non-excitatory cells and the role of gap junction Mathematical Biosciences, 289, 51-68, 2017.

Biswas, M. and Bairagi, N.: Discretization of an eco-epidemiological model and its dynamic consistency, Journal of Difference Equation and Applications, 23(5), 860-877, 2017.

Das, P. N., Kumar, A., Bairagi, N. and Chatterjee, S.: Restoring calcium homeostasis in diabetic cardiomyocytes: an investigation through mathematical modeling, Molecular BioSystems, 13, 2056-2068, 2017.

Year : 2016

Bairagi, N. and Adak, D.: Role of precautionary measures in HIV epidemics: A mathematical assessment. International Journal of Biomathematics, 9(6) 1650096, 2016.

Das, K. P., Bairagi, N., Sen, P.: Role of alternative food in controlling chaotic dynamics in a predator-prey model with disease in the predator. International Journal of Bifurcation and Chaos, 26(9), 1650147, 1-14, 2016.

Bairagi, N. and Adak, D.: Switching from simple to complex dynamics in a predator-prey-parasite model: an interplay between infection rate and incubation delay. Mathematical Biosciences, 277, 1-14, 2016.

Bairagi, N. and Biswas, M.: A predator-prey model with Beddington-DeAngelis Functional Response: A non-standard finite-difference method. J. Difference Equations and Applications, 22(4), 581-593, 2016.

Bairagi, N. and Biswas, M.: Dynamic Consistency in a predator–prey model with habitat complexity: Nonstandard versus standard finite difference methods. International Journal of Difference Equations, 11, 139–162, 2016.

Das, P. N., Pedruzzi, G., Bairagi, N. and Chatterjee, S.: Coupling calcium dynamics and mitochondrial bioenergetic: an in silico study to simulate cardiomyocyte dysfunction. Molecular BioSystems, 12, 806-817, 2016.

Year : 2015

Adak, D and Bairagi, N.: Complexity in a predator-prey-parasite model with nonlinear incidence rate and incubation delay. Chaos, Solitons & Fractals 81, 271-289, 2015.

Bairagi, N. and Adak, D.: Complex dynamics of a predator-prey-parasite system: An interplay among infection rate, predator’s reproductive gain and preference. Ecological Complexity 22, 1-12, 2015.

Year : 2014

Bairagi, N. and Adak, D.: Dynamic behavior of a predator-prey-parasite model with nonlinear incidence rate. Int. J. Biomath. Systems Biol. 1(1), 16-29, 2014.

Bairagi, N. and Adak, D.: Global analysis of HIV-1 dynamics with Hill type infection rate and intracellular delay. Applied Mathematical Modelling 38, 5047-5066, 2014.

Jana, D and Bairagi, N.: Habitat complexity, dispersal and metapopulations: macroscopic study of a predator-prey system. Ecological Complexity 17, 131-139, 2014.

Bairagi, N. and Adak, D.: How self-proliferation of CD4+T cells affect the HIV dynamics in an in-host target-cell limited HIV model with saturation infection rate: A quasi-steady state approximation analysis. International Journal of Biomathematics 6, 1-44, 2014.

Year : 2013

Chaudhuri, S. and Bairagi, N.: Study of ecological model of two symbionts under different biological Aspects. The Journal of Ecology. Photon 107, 190-199, 2013.

Jana, D., Bairagi, N., Agrawal, R., Upadhyay, R.K.: Modeling the Effect of Gestation Delay of Predator on the Stability of Bifurcating Periodic Solutions in Wetland Ecosystem. The Journal of Ecology. Photon 107, 175-189, 2013.

Jana, D. and Bairagi, N.: Habitat complexity, Stochasticity and the stability of predator-prey interactions. Journal of Control Engineering and Technology, 3(2), 76-83, 2013.

Year : 2012

Bairagi, N. and Jana, D.: Age-structured predator-prey model with habitat complexity: oscillations and control. Dynamical Systems: An International Journal, 27(4), 475-499, 2012.

Chatterjee, S., Kesh, D., Bairagi, N.: How population dynamics change in presence of migratory prey and predator’s preference”. Ecological Complexity, 11, 53–66, 2012.

Jana, D., Chakraborty, S.and Bairagi, N.: Stability, Nonlinear Oscillations and Bifurcation in a Delay-Induced Predator-Prey System with Harvesting. Engineering Letters, 20(3), 238-246, 2012.

Chakraborty, S., Pal, S. and Bairagi, N.: Predator-prey interaction with harvesting — mathematical study with biological ramifications. Applied Mathematical Modelling, 36, 4044-4059, 2012.

Chakraborty, S., Pal, S. and Bairagi, N.: Management and analysis of predator-prey fishery model. Nonlinear Studies, 19(2), 241-263, 2012.

Chakraborty, S., Pal, S. and Bairagi, N.: Predator-prey fishery model under deterministic and stochastic environments: a mathematical perspective. Int. J. Dynamical Systems and Differential Equations, 4(3), 215-241, 2012.

Year : 2011

Bairagi, N. and Jana, D.: On the stability and Hopf bifurcation of a delay-induced predator-prey system with habitat complexity. Applied Mathematical Modelling, 35, 3255–3267, 2011.

Bairagi, N.: Direction and stability of bifurcating periodic solutions in a delay-induced ecoepidemiological system. International Journal of Differential Equations, 1-25, 2011.

Year : 2010

Chakraborty, S., Pal, S. and Bairagi, N.: Dynamics of a ratio-dependent eco-epidemiological system with prey harvesting. Nonlinear Analysis, Real World Applications, 11(3), 1862-1877, 2010.

Year : 2009

Bairagi, N., Chaudhury, S. and Chattopadhyay, J.: Harvesting as a disease control measure in an eco-epidemiological system - a theoretical study. Mathematical Biosciences, 217, 134-144, 2009.

Year : 2008

Bairagi, N., Sarkar, R. and Chattopadhyay, J.: Impacts of incubation delay on the dynamics of an eco-epidemiological system – a theoretical study. Bulletin of Mathematical Biology, 70, 2017-2038, 2008.

Bairagi, N., Chatterjee, S. and Chattopadhyay, J.: Variability in the secretion of CRH, ACTH & Cortisol and understandability of the HPA axis dynamics – a mathematical study based on clinical evidences. Mathematical Medicine and Biology, 25(1), 37-63, 2008.

Upadhyay, R. K., Bairagi, N., K. Kundu and Chattopadhyay, J.: Chaos in Eco-epidemiological Problem of Salton Sea and its Possible Control. Applied Mathematics and Computation, 196: 392-401, 2008.

Year : 2007

Bairagi, N., Roy, P. K. and Chattopadhyay, J.: Role of Infection on the Stability of a Predator-Prey System with Several Response Functions – A Comparative Study. Journal of Theoretical Biology, 248: 10-25, 2007.

Year : 2005

Bairagi, N., Roy, P. K. and Chattopadhyay, J.: Virus Replication Factor May be a Controlling Agent for Obtaining Disease-Free System in a Multi-Species Eco-Epidemiological System. Journal of Biological Systems 11(1): 19-26, 2005.

Year : 2003

Chattopadhyay, J., Srinivasu, P. D. N. and Bairagi, N.: Pelican at risk in Salton Sea - an eco-epidemiological model-II. Ecological Modelling 167: 199-211, 2003.

Year : 2002

Bairagi, N. and Chattopadhyay, J.: Pelican at risk in Salton Sea- a delay induced eco-epidemiological model. Mathematical and Computer Modeling in Dynamical Systems, 8 (3), 257-272, 2002.

Year : 2001

Sarkar, Ram Rup., Chattopadhyay, J. and Bairagi, N.: Effect of environmental fluctuation in an eco-epidemiological model on the Salton Sea. Environmetrics, 12, 289-300, 2001.

Chattopadhyay, J. and Bairagi, N.: Pelicans at risk in Salton Sea- an eco-epidemiological study. Ecological Modelling, 136, 103-112, 2001.

Year : 2000

Chattopadhyay, J., Bairagi, N. and Sarkar, R.R.: A harvested predator-prey model with some cover in prey species. Nonlinear Phenomena in Complex System, 3, 407-420, 2000.