**Publications**

**(A) Journal**

**Year : 202****2**

Ghorai, S., Poria, S., **Bairagi, N.**: Diffusive instability in hyperbolic reaction-diffusion equation with different inertia. Chaos, 32, Doi: 10.1063/5.0071959, 2022. (SCI, I.F.-3.642, AIP)

**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.

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.

**(B) Conference**

**Bairagi, N.** Chakraborty, S. and Pal, S.: Heteroclinic bifurcation and multistability in a ratio-dependent predator-prey system with Michaelis-Menten type harvesting rate. IEEE Lecture Notes on Engineering, Vol.1, 578-583, 2012.

Roy, P. K.,**Bairagi, N.**, Chattopadhyay, J. and Chattopadhyay, B.: HIV model with intracellular delay -a mathematical study. IEEE Conference Proceedings on Automation Science and Engineering, Bangalore, 373-378, 2009.

**Bairagi, N.** and Chattopadhyay, J.: The evolution on eco-epidemiological systems: theory and evidence. Journal of Physics: Conf. Ser. 96, doi: 10.1088/1742-6596/96/1/012205, 2008.

**(C) Book Chapter**

Halder, S. Chatterjee, S. and **Bairagi, N.**, Unravelling the sensitivity of two motif structures under random perturbation. Trends in Biomathematics: Modeling, Optimization and Computational Problems ed. By R. P. Mondaini, Springer Verlag, 245-263, 2018.

Saha, P., Biswas, M. and **Bairagi, N.**, On the dynamic consistency of a discrete predator-prey model. Trends in Biomathematics: Modeling, Optimization and Computational Problems ed. By R. P. Mondaini, Springer Verlag, 219-232, 2018.

Adak, D. and **Bairagi, N.** Stability and Hopf bifurcation in a multi-delayed eco-epidemiological model. Mathematical Modelling and Biological Physics ed. By R. P. Mondaini, World Scientific, Singapore, 72-96, 2017.

Chaudhuri, S.,**Bairagi, N.** and Chattopadhyay, J.: Study of a Reaction-Diffusion Eco-Epidemiological Model Under the Influence of Non-Local Delay. Recent Trend in Bio-Mathematical Modeling Under Uncertain Environment ed. By K. Maity. Narosa Publishing House, New Delhi, 67-82, 2015

**Bairagi, N.**, Pal, S., Chatterjee, S. and Chattopadhyay, J.: Phytoplankton, Non-Toxic Phytoplankton, Toxic Phytoplankton and Zooplankton Interaction in an Open Marine System. Aspects of Mathematical Modelling,ed. By R.J.Hasking and E,Venturino. BirkhauserVerlag Basel/ Switzerland, 41-63, 2008.