Analysing the market for digital payments in India using the predator-prey mode

Authors

DOI:

https://doi.org/10.11121/ijocta.2023.1306

Keywords:

Digital Payments, Unified Payments Interface, Predator-Prey Model, ARIMA

Abstract

Technology has revolutionized the way transactions are carried out in economies across the world. India too has witnessed the introduction of numerous modes of electronic payment in the past couple of decades, including e-banking services, National Electronic Fund Transfer (NEFT), Real Time Gross Settlement (RTGS) and most recently the Unified Payments Interface (UPI). While other payment mechanisms have witnessed a gradual and consistent increase in the volume of transactions, UPI has witnessed an exponential increase in usage and is almost on par with pre-existing technologies in the volume of transactions. This study aims to employ a modified Lotka-Volterra (LV) equations (also known as the Predator-Prey Model) to study the competition among different payment mechanisms. The market share of each platform is estimated using the LV equations and combined with the estimates of the total market size obtained using the Auto-Regressive Integrated Moving Average (ARIMA) technique. The result of the model predicts that UPI will eventually overtake the conventional digital payment mechanism in terms of market share as well as volume. Thus, the model indicates a scenario where both payment mechanisms would coexist with UPI being the dominant (or more preferred) mode of payment.

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Author Biographies

Vijith Raghavendra , Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, India

is completed his undergraduate from CHRIST (Deemed to be University), Bengaluru. His areas of interest include mathematical economics, econometrics, mathematical modelling and numerical methods.

 

Pundikala Veeresha, Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, India

is an Assistant Professor in the Department of Mathematics, CHRIST (Deemed to be University), Bengaluru. He completed his Master Degree from Davangere University, Davangere, and his Ph.D. from Karnatak University, Dharwad. His areas of research interest include Fractional Calculus, Mathematical Modelling, Numerical and Analytical Methods, and Mathematical Physics. He has been the author of more than 90 research articles published in highly reputed journals.

 

References

Gochhwal, R. (2017). Unified Payment interface-an advancement in payment systems. American Journal of Industrial and Business Management, 7, 1174–1191.

Gao, W. Veeresha, P., Cattani, C., Baishya, C. & Baskonus, H.M. (2022). Modified predictor-corrector method for the numerical solution of a fractional-order SIR model with 2019-nCoV. Fractal and Fractional, 6, 92.

Yavuz, M. & Sene, N. (2020). Stability analysis and numerical computation of the fractional predator–prey model with the harvesting rate. Fractal and Fractional, 4(3), 35.

Baishya, C. (2021). Dynamics of fractional Holling type-II predator-prey model with prey refuge and additional food to predator. Journal of Applied Nonlinear Dynamics, 10(02), 315-328.

Veeresha, P. (2021). A numerical approach to the coupled atmospheric ocean model using a fractional operator. Mathematical Modelling and Numerical Simulation with Applications, 1(1), 1-10.

Ozkose, F., Yavuz, M., Senel M. T. & Hab-bireeh, R. (2022). Fractional order modelling of omicron SARS-CoV-2 variant containing heart attack effect using real data from the United Kingdom. Chaos, Solitons & Fractals, 157, 111954.

Safare, K.M., Betageri, V.S., Prakasha, D.G., Veeresha, P., & Kumar, S. (2020). A mathematical analysis of ongoing outbreak COVID- 19 in India through nonsingular derivative. Numerical Methods for Partial Differential Equations, 37(2), 1282-1298.

Ozkose F. & Yavuz, M. (2022). Investigation of interactions between COVID-19 and diabetes with hereditary traits using real data: A case study in Turkey. Computers in Biology and Medicine, 141, 105044.

Kalidass, M., Zeng, S. & Yavuz, M. (2022). Stability of fractional-order quasi-linear impulsive integro-differential systems with multiple delays. Axioms, 11(7).

Partohaghighi, M., Veeresha, P., Akgul, A., Inc, M., & Riaz, M.B. (2022). Fractional study of a novel hyper-chaotic model involving single non-linearity. Results in Physics, 42, 105965.

Akinyemi, L., Akpan, U., Veeresha, P., Rezazadeh, H., & Inc, M. (2022). Computational techniques to study the dynamics of generalized unstable nonlinear Schrodinger equation. Journal of Ocean Engineering and Science, DOI: https://doi.org/10.1016/j.joes.2022.02.011

Baishya C. & Veeresha, P. (2021). Laguerre polynomial-based operational matrix of integration for solving fractional differential equations with non-singular kernel. Proceedings of the Royal Society A, 477(2253), 20210438.

Akinyemi, L. (2020). A fractional analysis of Noyes–Field model for the nonlinear Belousov–Zhabotinsky reaction. Computational and Applied Mathematics, 39(3), 1-34.

Chandrali, B. (2020). Dynamics of a fractional stage structured predator-prey model with prey refuge. Indian Journal of Ecology, 47(4), 1118-1124.

Akinyemi, L., S ?enol, M., Az-Zo’bi, E., Veeresha, P., & Akpan, U. (2022). Novel soliton solutions of four sets of generalized (2+1)-dimensional Boussinesq-Kadomtsev- Petviashvili-like equations. Modern Physics Letters B, 36(1), 2150530.

Baishya, C. (2022). An operational matrix based on the Independence polynomial of a complete bipartite graph for the Caputo fractional derivative. SeMA Journal, 79(4), 699- 717.

Apedaille, L.P., Freedman, H.I., Schilizzi, S.G.M. & Solomonovich, M. (1994). Equilibria and dynamics in an economic predator- prey model of agriculture. Mathematical and Computer Modelling, 19(11), 1–15.

Maurer, S.M. & Huberman, B.A. (2000). Competitive dynamics of web sites. Journal of Economic Dynamics and Control, 27(11-12), 2195-2206.

Watanabe, C., Kondo, R. & Nagamatsu, A. (2003). Policy options for the diffusion orbit of competitive innovations-an application of Lotka–Volterra equations to Japan’s transition from analog to digital TV broadcasting. Technovation, 23(5), 437–445.

Lee, S., Kim, M.S. & Park, Y. (2009). ICT Co-evolution and Korean ICT strategy-an analysis based on patent data. Telecommunications Policy, 33(5-6), 253–271.

Lee, S.J., Lee, D. J. & Oh, H.S. (2005). Technological forecasting at the Korean stock market: a dynamic competition analysis using Lotka-Volterra model. Technological Forecasting and Social Change, 72(8), 1044–1057.

Ren, Y., Yang, D. & Diao, X. (2008). Websites competitive model with consumers divided into users and visitors. 2008 International Conference on Wireless Communications, Networking and Mobile Computing, WiCOM 2008, DOI: https://doi.org/10.1109/WiCom.2008.2153

Brander J.A. & De Bettignies, J.E. (2009). Venture capital investment: the role of predator–prey dynamics with learning by doing. Economics of Innovation and New Technology, 18(1), 1–19,

Kreng V.B. & Wang, H.T. (2009). The interaction of the market competition between LCD TV and PDP TV. Computers & Industrial Engineering, 57(4), 1210–1217.

Chiang, S.Y. & Wong, G.G. (2011). Competitive diffusion of personal computer shipments in Taiwan. Technological Forecasting and Social Change, 78(3), 526–535.

Pant, M. & Bagai, S. (2015). Can the organised and unorganised sectors co-exits: a theoretical study. Centre for International Trade and Development, Jawaharlal Nehru University, New Delhi Discussion Papers, 15-11.

Crookes D. & Blignaut, J. (2016), Predator- prey analysis using system dynamics: an application to the steel industry. South African Journal of Economic and Management Sciences, 19(5), 733–746.

Hung, H.C., Chiu, Y.C., Huang, H.C. & Wu, M.C. (2017). An enhanced application of Lotka–Volterra model to forecast the sales of two competing retail formats. Computers & Industrial Engineering, 109, 325–334.

Nikolaieva, O. & Bochko, Y. (2019). Application of the predator-prey model for Aanalysis and forecasting the share of the market of mobile operating systems. International Journal of Innovative Technologies in Economy, 4(24), 3–11.

Mohapatra, S. (2017). Unified Payment Interface (UPI): A Cashless Indian e-Transaction Process. International Journal of Applied Science and Engineering, 5(1), 29-42.

Kakade, R.B. & Veshne, N.A. (2017). UPI-A way towards cashless economy. International Research Journal of Engineering and Technology, 4(11), 762–766.

Vipin, K. & Sumathy, M. (2017). Digital payment systems: perception and concerns among urban consumers. International Journal of Applied Research, 3(6), 1118–1122.

Patil, B.S. (2018). Application of technology acceptance model in unified payment interface services of banks. Journal of Management Value & Ethics, 8(3), 4–11.

Philip, B. (2019). Unified payment interface- impact of UPI in customer satisfaction. Research Guru, 12(4), 124–129.

Kumar, R. Kishore, S. Lu, H. & Prakash, A. (2020). Security analysis of unified payments interface and payment apps in India. Proceedings of the 29th USENIX Security Symposium, 1499–1516.

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Published

2023-01-29
CITATION
DOI: 10.11121/ijocta.2023.1306
Published: 2023-01-29

How to Cite

Raghavendra , V. ., & Veeresha, P. (2023). Analysing the market for digital payments in India using the predator-prey mode. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 13(1), 104–115. https://doi.org/10.11121/ijocta.2023.1306

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Research Articles