Editorial: Applications of delay differential equations in biological systems. (English) Zbl 1405.00027
From the text: This special issue aims at creating a multidisciplinary forum of discussion on recent advances in differential equations with memory such as DDEs or fractional-order differential equations (FODEs) in biological systems as well as new applications to economics, engineering, physics, and medicine.
MSC:
| 00B15 | Collections of articles of miscellaneous specific interest |
| 92-06 | Proceedings, conferences, collections, etc. pertaining to biology |
| 92C42 | Systems biology, networks |
| 34A08 | Fractional ordinary differential equations |
| 34Kxx | Functional-differential equations (including equations with delayed, advanced or state-dependent argument) |
| 93C15 | Control/observation systems governed by ordinary differential equations |
References:
| [1] | Bocharov, G. A.; Rihan, F. A., Numerical modelling in biosciences using delay differential equations, Journal of Computational and Applied Mathematics, 125, 1-2, 183-199, (2000) · Zbl 0969.65124 · doi:10.1016/S0377-0427(00)00468-4 |
| [2] | Rihan, F. A.; Abdelrahman, D. H.; Al-Maskari, F.; Ibrahim, F.; Abdeen, M. A., Delay differential model for tumour-immune response with chemoimmunotherapy and optimal control, Computational and Mathematical Methods in Medicine, 2014, (2014) · Zbl 1307.92131 · doi:10.1155/2014/982978 |
| [3] | Baker, C. T. H.; Bocharov, G. A.; Paul, C. A. H.; Rihan, F. A., Modelling and analysis of time-lags in some basic patterns of cell proliferation, Journal of Mathematical Biology, 37, 4, 341-371, (1998) · Zbl 0908.92026 · doi:10.1007/s002850050133 |
| [4] | Lakshmanan, S.; Rihan, F. A.; Rakkiyappan, R.; Park, J. H., Stability analysis of the differential genetic regulatory networks model with time-varying delays and Markovian jumping parameters, Nonlinear Analysis: Hybrid Systems, 14, 1-15, (2014) · Zbl 1325.92062 · doi:10.1016/j.nahs.2014.04.003 |
| [5] | Rakkiyappan, R.; Velmurugan, G.; Rihan, F. .; Lakshmanan, S., Stability analysis of memristor-based complex-valued recurrent neural networks with time delays, Complexity, 21, 4, 14-39, (2015) · doi:10.1002/cplx.21618 |
| [6] | Rihan, F. A.; Abdel Rahman, D. H.; Lakshmanan, S.; Alkhajeh, A. S., A time delay model of tumour–immune system interactions: global dynamics, parameter estimation, sensitivity analysis, Applied Mathematics and Computation, 232, 606-623, (2014) · Zbl 1410.92053 · doi:10.1016/j.amc.2014.01.111 |
| [7] | Gozen, M.; Tunc, C., Stability in functional integro-differential equations of second order with variable delay, Journal of Mathematical and Fundamental Sciences, 49, 1, 66-89, (2017) |
| [8] | Rihan, F. A.; Azamov, A. A.; Al-Sakaji, H. J., An Inverse problem for delay differential equations: parameter estimation, nonlinearity, sensitivity, Applied Mathematics & Information Sciences, 12, 1, 63-74, (2018) |
| [9] | Rihan, F. A., Sensitivity analysis for dynamic systems with time-lags, Journal of Computational and Applied Mathematics, 151, 2, 445-462, (2003) · Zbl 1023.93030 · doi:10.1016/S0377-0427(02)00659-3 |
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