A stage-structured delayed advection reaction-diffusion model for single species

Raed Ali Alkhasawneh

doi:10.11591/IJECE.V10I6.PP6260-6267

A stage-structured delayed advection reaction-diffusion model for single species

Raed Ali Alkhasawneh^*

^*Corresponding author for this work

Basic Sciences

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

1 Scopus citations

Abstract

In this paper, we derived a delay advection reaction-diffusion equation with linear advection term from a stage-structured model, then the derived equation is used under the homogeneous Dirichlet boundary conditions u_m(0,t)= 0, u_m(L,t)=0, and the initial condition u_m(x,0)=u_m⁰(x) >0,xϵ[-τ,0] with u_m⁰(0)>0 in order to find the minimum value of domain L that prevents extinction of the species under the effect of advection reaction-diffusion equation. Finally, for the measurement the time lengths from birth to the development of the species population, time delays are integrated.

Original language	English
Pages (from-to)	6260-6267
Number of pages	8
Journal	International Journal of Electrical and Computer Engineering
Volume	10
Issue number	6
DOIs	https://doi.org/10.11591/IJECE.V10I6.PP6260-6267
State	Published - Dec 2020

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This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 15 Life on Land

Keywords

Advection
Competition
Stage structure
Time delay
Travelling wave solutions

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10.11591/IJECE.V10I6.PP6260-6267

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title = "A stage-structured delayed advection reaction-diffusion model for single species",

abstract = "In this paper, we derived a delay advection reaction-diffusion equation with linear advection term from a stage-structured model, then the derived equation is used under the homogeneous Dirichlet boundary conditions um(0,t)= 0, um(L,t)=0, and the initial condition um(x,0)=um0(x) >0,xϵ[-τ,0] with um0(0)>0 in order to find the minimum value of domain L that prevents extinction of the species under the effect of advection reaction-diffusion equation. Finally, for the measurement the time lengths from birth to the development of the species population, time delays are integrated.",

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AU - Alkhasawneh, Raed Ali

PY - 2020/12

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N2 - In this paper, we derived a delay advection reaction-diffusion equation with linear advection term from a stage-structured model, then the derived equation is used under the homogeneous Dirichlet boundary conditions um(0,t)= 0, um(L,t)=0, and the initial condition um(x,0)=um0(x) >0,xϵ[-τ,0] with um0(0)>0 in order to find the minimum value of domain L that prevents extinction of the species under the effect of advection reaction-diffusion equation. Finally, for the measurement the time lengths from birth to the development of the species population, time delays are integrated.

AB - In this paper, we derived a delay advection reaction-diffusion equation with linear advection term from a stage-structured model, then the derived equation is used under the homogeneous Dirichlet boundary conditions um(0,t)= 0, um(L,t)=0, and the initial condition um(x,0)=um0(x) >0,xϵ[-τ,0] with um0(0)>0 in order to find the minimum value of domain L that prevents extinction of the species under the effect of advection reaction-diffusion equation. Finally, for the measurement the time lengths from birth to the development of the species population, time delays are integrated.

KW - Advection

KW - Competition

KW - Stage structure

KW - Time delay

KW - Travelling wave solutions

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M3 - Article

AN - SCOPUS:85092310153

SN - 2088-8708

VL - 10

SP - 6260

EP - 6267

JO - International Journal of Electrical and Computer Engineering

JF - International Journal of Electrical and Computer Engineering

IS - 6

ER -

A stage-structured delayed advection reaction-diffusion model for single species

Abstract

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Keywords

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