[1] Murray, J.D., Mathematical Biology I. An Introduction, Springer-Verlag, Berlin, Heidelberg, 2002.
[2] Nordisk, N., Steno Diabetes Center Dorte Hammelve, Novo Nordisk, diabetes of insulin, Novo, Nordisk, 2006.
[3] Roy, A., Parker, R.S., Dynamic modeling of exercise e_ects on plasma glucose and insulin level, International Symposium on Advanced Control of Chemical Processes Gramado, April 2-5, Brazil, 2006.
[4] Friis, J.E., Modeling and Simulation of Glucose-Insulin Metabolism, Technical University of Denmark, Informatics and Mathematical Modeling, 2007.
[5] Saleem, M.U., Farman, M., Ahmad, M.O., and Rizwan, A., A Control of Artificial Pancreas in Human, Chines Journal of Physics, 55(6), 2017, 2273-2282.
[6] Roy, A., Parker, R.S., Dynamic Modeling of Exercise Effects on Plasma Glucose and Insulin Levels, Journal of Diabetes Science and Technology, 1(3), 2007, 1-8.
[7] Saleem, M.U., Farman, M., Meraj, M.A., A linear control of Hovorka Model, Science International (Lahore), 28(1), 2016, 15-18.
[8] Ahlborg, G., Felig, P., Hagenfeldt, L., Hendler, R., Wahren, J., Substrate turnover during prolonged exercise in man, Journal of Clinical Investigation, 53(4), 1974, 1080–1090.
[9] Ahlborg, G., Wahren, J., Felig, P., Splanchnic and peripheral glucose and lactate metabolism during and after prolonged arm exercise, Journal of Clinical Investigation, 77(3), 2002, 690-699.
[10] Bergman, R.N., Phillips, L.S., Cobelli, C., Physiologic evaluation of factors controlling glucose tolerance in man, Journal of Clinical Investigation, 68, 1981, 1456–1467.
[11] Marliss, E.B., Vranic, M., Intense exercise had unique effects on both insulin release and its roles in glucoregulation, Diabetes, 51, 2002, 271-283.
[12] Coron, J.M., Control and nonlinearity, American Mathematical Society, 2007.
[13] Bressan, A., Piccoli, B., Introduction to the mathematical theory of control, AIMS Series on Applied Mathematics, 2007.
[14] Jan, A., Zafar, A.A., Kudra, G., Riaz, M.B., Theoretical study of the blood flow in arteries in the presence of magnetic particles and under periodic body acceleration, Chaos, Solitons & Fractals, 140, 2020, 110204.
[15] Riaz, M.B., Atangana, A., Saeed, S.S., MHD‐free Convection Flow Over a Vertical Plate with Ramped Wall Temperature and Chemical Reaction in View of Nonsingular Kernel, Fractional Order Analysis: Theory, Methods and Applications, Wiley, 2020.
[16] Atangana, A., On the new fractional derivative and application to nonlinear Fisher’s reaction–diffusion equation, Applied Mathematics and Computation, 273, 2016, 948-956.
[17] Riaz, M.B., Atangana, A., Abdeljawad, T., Local and nonlocal differential operators: A comparative study of heat and mass transfer in MHD Oldroyd-B fluid with ramped wall temperature, Fractals, 2020, doi.org/10.1142/S0218348X20400332.
[18] Atangana, A., Araz, S., New numerical method for ordinary differential equations, Newton Polynomial Mathematics, 372, 2020, 112622.
[19] Riaz, M.B., Iftikhar, N., A comparative study of heat transfer analysis of MHD Maxwell fluid in view of local and nonlocal differential operators, Chaos, Solitons & Fractals, 132, 2020, 109556.
[20] Kumar, S., Kumar, R., Cattani, C., Samet, B., Chaotic behaviour of fractional predator-prey dynamical system, Chaos, Solitons & Fractals, 135, 2020, 109811.
[21] Ghanbari, B., Kumar, S., Kumar, R., A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative, Chaos, Solitons & Fractals, 133, 2020, 109619.
[22] Obidat, Z., Kumar, S., A robust computational algorithm of homotopy asymptotic method for solving systems of fractional differential equations, Journal of Computational and Nonlinear Dynamics, 14(8), 2019, 081004.
[23] Kumar, S., Nisar, K.S., Kumar, R., Cattani, C., Samet, B., A new Rabotnov fractional‐exponential function‐based fractional derivative for diffusion equation under external force, Mathematical Methods in the Applied Sciences, 43(7), 2020, 4460-4471.
[24] Kumar, S., Ghous, S., Samet, B., Goufo, E.F.D., An analysis for heat equations arises in diffusion process using new Yang‐Abdel‐Aty‐Cattani fractional operator, Mathematical Methods in the Applied Sciences, 43(9), 2020, 6062-6080.
[25] Kumar, S., Kumar, R., Agarwal, R.P., Samet, B., A study of fractional Lotka‐Volterra population model using Haar wavelet and Adams‐Bashforth‐Moulton methods, Mathematical Methods in the Applied Sciences, 43(8), 2020, 5564-5578.
[26] Kumar, S., Ahmadian, A., Kumar, R., Kumar, D., Singh, J., Baleanu, D., Salimi, M., An efficient numerical method for fractional SIR epidemic model of infectious disease by using Bernstein wavelets, Mathematics, 8(4), 2020, 558.
[27] Veerahsa, P., Paraksha, D.G., Kumar, S., A fractional model for propagation of classical optical solitons by using nonsingular derivative, Mathematical Methods in the Applied Sciences, 2020, doi.org/10.1002/mma.6335.
[28] Alshabant, A., Jaleli, M., Kumar, S., Samet, B., Generalization of Caputo-Fabrizio fractional derivative and applications to electrical circuits, Frontier in Physics, 8, 2020, 64.
[29] Singh, J., Kumar, D., Kumar, S., An efficient computational method for local fractional transport equation occurring in fractal porous media, Computational and Applied Mathematics, 39, 2020, 137.
[30] Bansal, M.K., Lal, S., Kumar, D., Kumar, S., Singh, J., Fractional differential equation pertaining to an integral operator involving incomplete H-function in the kernel, Mathematical Methods in Applied Sciences, 2020, DOI:10.1002/mma.6670.
[31] Morris, A., Closed-loop insulin delivery has wide-ranging benefits, Nature Reviews Endocrinology, 14, 2018, 688.
[32] Koch, L., Closed-loop insulin delivery, Nature Reviews Endocrinology, 6, 2010, 241.
[33] Kovatchev, B., Automated closed-loop control of diabetes, the artificial pancreas, Bioelectronic Medicine, 4, 2018, 14.
[34] Elleri, D., Dunger, D.B., Hovorka, R., Closed-loop insulin delivery for treatment of type 1 diabetes, BMC Medicine, 9, 2011, 120.
Journal of Applied and Computational Mechanics
)