Jaradat, ImadAlquran, MarwanMomani, ShaherBaleanu, Dumitru2022-08-232022-08-232020Jaradat, Imad...et al. (2020). "Numerical schemes for studying biomathematics model inherited with memory-time and delay-time", ALEXANDRIA ENGINEERING JOURNAL, Vol. 59, No.5, pp. 2969-2974.1110-0168http://hdl.handle.net/20.500.12416/5750The effect of inherited memory-time and delay-time in the formulation of a mathematical population growth model is considered. Two different numerical schemes are introduced to study analytically the propagation of population growth. We provide a graphical analysis that shows the impact of both memory-time and delay-time acting on the behavior of population density. We concluded that both delay-time and time-fractional-derivative play the same role as delaying the propagation of the nonlinear population growth. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.eninfo:eu-repo/semantics/openAccessCaputo-time-fractional derivative; Delay time; Fractional power series; Homotopy perturbation method; Mathematical biological model.Article5952969297410.1016/j.aej.2020.03.038