A Global Attractivity in a Nonmonotone Age-Structured Model with Age Dependent Diffusion and Death Rates

2017/09/09 by Al-Jararha, M.
#34K10 #35B35 #35K55 #92D25 #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1709.02991

Abstract

In this paper, we investigated the global attractivity of the positive constant steady state solution of the mature population w(t,x) governed by the age-structured model: \beginequation* \\beginarrayll (∂ u)/(∂ t)+(∂ u)/(∂ a)=D(a)(∂ ² u)/(∂ x²) - d(a)u, & t≥ t₀≥ A_l, a≥ 0, 0< x< π, w(t,x)=∫_r^A_lu(t,a,x)da,& t≥ t₀≥ A_l, 0

Related

• Age-structured population models with Applications
• Age-dependent equations with non-linear diffusion
• Spatio-temporal dynamics of an age-structured reaction-diffusion system of epidemic type subjected by Neumann boundary condition
• Uniqueness result for an age-dependent reaction-diffusion problem
• Age-structured Models with Nonlocal Diffusion of Dirichlet Type, I: Principal Spectral Theory and Limiting Properties