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

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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.

Original languageEnglish
Pages (from-to)6260-6267
Number of pages8
JournalInternational Journal of Electrical and Computer Engineering
Volume10
Issue number6
DOIs
StatePublished - Dec 2020

Keywords

  • Advection
  • Competition
  • Stage structure
  • Time delay
  • Travelling wave solutions

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