Numerical schemes for studying biomathematics model inherited with memory-time and delay-time

Imad Jaradat; Marwan Alquran; Shaher Momani; Dumitru Baleanu

doi:10.1016/j.aej.2020.03.038

Numerical schemes for studying biomathematics model inherited with memory-time and delay-time

Imad Jaradat
, Marwan Alquran
, Shaher Momani
, Dumitru Baleanu

Nonlinear Dynamic Research Centre (NDRC)

Jordan University of Science and Technology
University of Jordan
Cankaya University
Institute for Space Sciences

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

The 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.

Original language	English
Pages (from-to)	2969-2974
Number of pages	6
Journal	Alexandria Engineering Journal
Volume	59
Issue number	5
DOIs	https://doi.org/10.1016/j.aej.2020.03.038
State	Published - Oct 2020

Keywords

Caputo-time-fractional derivative
Delay time
Fractional power series
Homotopy perturbation method
Mathematical biological model

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10.1016/j.aej.2020.03.038

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title = "Numerical schemes for studying biomathematics model inherited with memory-time and delay-time",

abstract = "The 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.",

keywords = "Caputo-time-fractional derivative, Delay time, Fractional power series, Homotopy perturbation method, Mathematical biological model",

author = "Imad Jaradat and Marwan Alquran and Shaher Momani and Dumitru Baleanu",

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T1 - Numerical schemes for studying biomathematics model inherited with memory-time and delay-time

AU - Jaradat, Imad

AU - Alquran, Marwan

AU - Momani, Shaher

AU - Baleanu, Dumitru

PY - 2020/10

Y1 - 2020/10

N2 - The 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.

AB - The 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.

KW - Caputo-time-fractional derivative

KW - Delay time

KW - Fractional power series

KW - Homotopy perturbation method

KW - Mathematical biological model

UR - https://www.scopus.com/pages/publications/85084610870

U2 - 10.1016/j.aej.2020.03.038

DO - 10.1016/j.aej.2020.03.038

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VL - 59

SP - 2969

EP - 2974

JO - Alexandria Engineering Journal

JF - Alexandria Engineering Journal

IS - 5

ER -

Numerical schemes for studying biomathematics model inherited with memory-time and delay-time

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Keywords

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