Global attractivity in a non-monotone age-structured model with age-dependent diffusion and death rates

Global attractivity in a non-monotone age-structured model with age-dependent diffusion and death rates

Abstract In this paper, the global attractivity of the homogeneous equilibrium solution for the diffusive age-structured model {∂u∂t+∂u∂a=D(a)∂2u∂x2−d(a)u,t≥t0≥Al>0,a≥0,0<x<π,w(t,x)=∫τAlu(t,a,x)da,t≥t0≥Al>0,0<x<π,τ≥0,u(t,0,x)=f(w(t,x)),t≥t0≥Al>0,0<x<π,ux(t,a,0)=ux(t,a,π)=0...

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Bibliographic Details
Main Author: M. Al-Jararha
Format: Article
Language:English
Published: SpringerOpen 2018-11-01
Series:Advances in Difference Equations
Subjects:
Homogeneous equilibrium solution
Global attractivity
Age-structured model
Non-monotone birth function
Age-dependent death rate
Age-dependent diffusion rate
Online Access:http://link.springer.com/article/10.1186/s13662-018-1884-4

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http://link.springer.com/article/10.1186/s13662-018-1884-4

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