[1] Abbate, J. Popularizing the internet, Commun. Hist., Routledge (2018), 297–302.
[2] Agrawal, D.R. and Fox, W.F. Taxes in an e-commerce generation, Int. Tax Public Finance
24 (2017), 903–926.
[3] Balatif, O., Khajji, B. and Rachik, M. Mathematical modeling, analysis, and optimal control
of abstinence behavior of registration on the electoral lists, Discrete Dyn. Nat. Soc. 2020
(2020), Art. ID 9738934.
[4] Baroudi, M., Gourram, H., Labzai, A. and Belam, M. Mathematical modeling and monkey-
pox’s optimal control strategy, Commun. Math. Biol. Neurosci. 2023 (2023), Art. ID 110.
[5] Belhdid, S., Balatif, O. and Khajji, B. Optimal control and cost-effectiveness analysis of
scam rumor propagation over social networks, Results Control Optim. 16 (2024), 100441.
[6] Corbitt, B.J., Thanasankit, T. and Yi, H. Trust and e-commerce: a study of consumer
perceptions, Electron. Commer. Res. Appl. 2 (2003), 203–215.
[7] El Bhih, A., Ghazzali, R., Ben Rhila, S., Rachik, M. and El Alami Laarroussi, A. A dis-
crete mathematical modeling and optimal control of the rumor propagation in online social
network, Discrete Dyn. Nat. Soc. 2020 (2020), 1–12.
[8] El Bhih, A., Yaagoub, Z., Rachik, M., Allali, K. and Abdeljawad, T. Controlling the dis-
semination of rumors and antirumors in social networks, Eur. Phys. J. Plus 139 (2024),
1–23.
[9] El Youssoufi, L., Moutamanni, H., Labzai, A., Balatif, O. and Rachik, M. Optimal control
for a discrete model of hepatitis C, Commun. Math. Biol. Neurosci. 2020 (2020), Art. ID 82.
[10] Elhia, M., Balatif, O., Boujallal, L. and Rachik, M. Optimal control problem for a tubercu-
losis model, Int. J. Optim. Control Theory Appl. 11 (2021), 75–91.
[11] Fleming, W.H. and Rishel, R.W. Deterministic and stochastic optimal control, Springer,
New York, 2012.
[12] Gourram, H., Baroudi, M., Labzai, A. and Belam, M. Mathematical modeling and optimal
control strategy for the influenza (H5N1), Commun. Math. Biol. Neurosci. 2023 (2023), Art.
ID 113.
[13] Gouvernement, https://www.gouvernement.fr
[14] Gupta, D.C., Bindal, M., Agarwal, N. and Khandelwal, K. Traditional commerce v/s e-
commerce and impact of demonetization on e-commerce, Int. J. Eng. Manag. Res. 8 (2018),
136–142.
[15] Hannum, K.M. and Downs, H.A. Evaluation research in the EDI field, Booysen, LAE (2018),
60–84.
[16] Hassouni, H., Belhdid, S. and Balatif, O. Mathematical modeling and optimal control of
customer’s behavior toward e-commerce, Iran. J. Numer. Anal. Optim. 14(4) (2024) 1168–
1202.
[17] Huang, L., Huang, Y., Huang, R., Xie, G. and Cai, W. Factors influencing returning mi-
grants’ entrepreneurship intentions, Sustainability 14 (2022), 3682.
[18] Institut Natl. Statist. Études Écon. (INSEE), https://www.insee.fr/fr/accueil
[19] Isckia, T. Amazon’s evolving ecosystem, Canad. J. Admin. Sci. 26 (2009), 332–343.
[20] Jang, S.Y. and Lee, C.S. A Comparison of Customers’ Perceived Value on Electronic Com-
merce and Traditional Commerce, Asia-Pac. J. Inf. Syst. 10 (2000), 159–180.
[21] Jose, S.A., Panigoro, H.S., Jirawattanapanit, A., Omede, B.I. and Yaagoub, Z. Understand-
ing COVID-19 propagation: A comprehensive mathematical model with Caputo fractional
derivatives for Thailand, Front. Appl. Math. Stat. 10 (2024), 1374721.
[22] Kada, D., Khajji, B., Balatif, O., Rachik, M. and Labriji, E.H. Optimal control approach of
gaming disorder spread, Discrete Dyn. Nat. Soc. 2021 (2021), 5584315.
[23] Kermack, W.O. and McKendrick, A.G. A contribution to the mathematical theory of epi-
demics, Proc. Roy. Soc. Lond. Ser. A 115 (1927), 700–721.
[24] Kim, K.K. and Prabhakar, B. Initial trust and the adoption of B2C e-commerce: The case
of internet banking, ACM SIGMIS Database, 35 (2004), 50–64.
[25] Krishnamurthy, S. A comparative analysis of eBay and Amazon, IGI Global, 2004, 29–44.
[26] Laarabi, H., Rachik, M., El Kahlaoui, O. and Labriji, E. Optimal vaccination strategies of
an SIR model, Univ. J. Appl. Math. 1 (2013), 185–191.
[27] Laaroussi, A.E.A., El Bhih, A. and Rachik, M. Optimal vaccination and treatment policies
with constrained inequalities to study limited vaccination resources for a multistrain reaction-
diffusion SEIR model of COVID-19, Partial Differ. Equ. Appl. Math. 10 (2024), 100684.
[28] Lightner, N.J. What users want in e-commerce design: Effects of age, education and income,
Ergonomics 46 (2003), 153–168.
[29] Maity, M. and Dass, M. Consumer decision-making across modern and traditional channels:
E-commerce, m-commerce, in-store, Decision Support Systems 61 (2014), 34–46.
[30] Olson, J.S. and Olson, G.M. i2i trust in e-commerce, Commun. ACM 43 (2000), 41–44.
[31] Pontryagin, L.S., Boltyanskii, V.G., Gamkrelidze, R.V. and Mishchenko, E. F. The mathe-
matical theory of optimal processes, Wiley, New York, 1962.
[32] Purwani, S., Inayaturohmat, F. and Tresna, S.T. COVID-19 epidemic model: study of
numerical methods and solving optimal control problem through forward-backward sweep
method, Commun. Math. Biol. Neurosci. 2022 (2022), Art. ID 123.
[33] Qin, Z., Chang, Y., Li, S. and Li, F. E-commerce strategy, Springer, 2014.
[34] Rahman, S. and Qing, N. Graduate students’ perceptions of supply chain skills for supply
chain managers, Benchmarking 21 (2014), 276–299.
[35] Sadki, M., Yaagoub, Z. and Allali, K. Qualitative Analysis of a Fractional-Order for a
Within-Host Infection Dynamics with Adaptive Immunity Using Caputo Derivative, Iran. J.
Sci. 49(3) (2025), 847–869.
[36] Shemi, A.P. and Procter, C. E-commerce and entrepreneurship in SMEs: case of myBot, J.
Small Bus. Enterprise Dev. 25 (2018), 501–520.
[37] Taher, G. E-commerce: advantages and limitations, Int. J. Acad. Res. Account. Finance
Manag. Sci. 11 (2021), 153–165.
[38] Tan, Z. and Ouyang, W. Diffusion and impacts of e-commerce in China, Electron. Mark.
14 (2004), 25–35.
[39] Wulf, J. Alibaba Group, Harv. Bus. Sch. Case 710 (2010), 436.
[40] Yaagoub, Z. and Allali, K. Fractional HCV infection model with adaptive immunity and
treatment, Math. Model. Comput. 10 (2023), 995–1013.
[41] Yaagoub, Z., El Bhih, A. and Allali, K. Global analysis of a fractional-order infection model
for the propagation of computer viruses, Model. Earth Syst. Environ. 11 (2025), 68.
[42] Yaagoub, Z., Farah, E.M. and Ahmad, S. Three-strain epidemic model for influenza virus
involving fractional derivative and treatment, J. Appl. Math. Comput. 71 (2025), 1247–1266.
[43] Yapar, B.K., Bayrakdar, S. and Yapar, M. The role of taxation problems on the development
of e-commerce, Procedia Soc. Behav. Sci. 195 (2015), 642–648.
