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The Effect of Network Delay and Contagion on Mobile Banking Users: A Dynamical Analysis

Author

Listed:
  • Liliana Eva Donath

    (Department of Finance, Information Systems and Modeling for Business, Faculty of Economics and Business Administration, West University of Timisoara, 300223 Timișoara, Romania)

  • Gabriela Mircea

    (Department of Finance, Information Systems and Modeling for Business, Faculty of Economics and Business Administration, West University of Timisoara, 300223 Timișoara, Romania)

  • Mihaela Neamțu

    (Department of Finance, Information Systems and Modeling for Business, Faculty of Economics and Business Administration, West University of Timisoara, 300223 Timișoara, Romania)

  • Grațiela Georgiana Noja

    (Department of Marketing, International Business and Economics, Faculty of Economics and Business Administration, West University of Timisoara, 300223 Timișoara, Romania)

  • Nicoleta Sîrghi

    (Department of Marketing, International Business and Economics, Faculty of Economics and Business Administration, West University of Timisoara, 300223 Timișoara, Romania)

Abstract

This paper analyses how network contagion affects the acceptance or rejection of mobile banking, emphasizing the risk of contagion that hinders the growth of users among bank clients. As a research method, a mathematical model based on the Susceptible, Infected, and Recovered framework is used within a nonlinear dynamic system with a distributed time delay and the optimal control strategy. The approach aims to find the behaviour dynamics of mobile banking users, non-users, and undecided ones. Our model adds value to the existing literature by employing a qualitative dynamic analysis, as opposed to other studies that study contagion empirically. The steady states and their conditions for stability are found, and the critical value for time delay causing oscillatory is determined. The optimal control strategies are identified to enlarge the number of mobile banking users and decrease the number of non-users. Numerical simulations support the theoretical findings. The research has practical implications given that the model predicts mobile banking user behaviour in assisting policy decision-making and addresses the possible policy measures that aim to increase the number of mobile banking users. The conclusions suggest that financial inclusion can contribute to the expansion of mobile banking users.

Suggested Citation

  • Liliana Eva Donath & Gabriela Mircea & Mihaela Neamțu & Grațiela Georgiana Noja & Nicoleta Sîrghi, 2024. "The Effect of Network Delay and Contagion on Mobile Banking Users: A Dynamical Analysis," Mathematics, MDPI, vol. 12(22), pages 1-22, November.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:22:p:3493-:d:1516997
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    References listed on IDEAS

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    1. Invernizzi, Sergio & Medio, Alfredo, 1991. "On lags and chaos in economic dynamic models," Journal of Mathematical Economics, Elsevier, vol. 20(6), pages 521-550.
    2. Liao, Feimei & Sun, Yinghao & Xu, Shulin, 2023. "Financial report comment letters and greenwashing in environmental, social and governance disclosures: Evidence from China," Energy Economics, Elsevier, vol. 127(PB).
    3. Didier Cossin & Henry Schellhorn, 2007. "Credit Risk in a Network Economy," Management Science, INFORMS, vol. 53(10), pages 1604-1617, October.
    4. Allen, Franklin & Carletti, Elena, 2006. "Credit risk transfer and contagion," Journal of Monetary Economics, Elsevier, vol. 53(1), pages 89-111, January.
    5. Luca Guerrini & Adam Krawiec & Marek Szydlowski, 2020. "Bifurcations in economic growth model with distributed time delay transformed to ODE," Papers 2002.05016, arXiv.org.
    6. Andrew G. Haldane & Robert M. May, 2011. "Systemic risk in banking ecosystems," Nature, Nature, vol. 469(7330), pages 351-355, January.
    7. Fanelli, Viviana & Maddalena, Lucia, 2020. "A nonlinear dynamic model for credit risk contagion," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 174(C), pages 45-58.
    8. Chen, Lijuan & Hattaf, Khalid & Sun, Jitao, 2015. "Optimal control of a delayed SLBS computer virus model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 244-250.
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