An upwind scheme for a nonlinear model in age-structured population dynamics

DOI10.1016/0898-1221(95)00132-IzbMath0836.92015MaRDI QIDQ1903188

Mi-Young Kim, Eun-Jae Park

Publication date: 2 May 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

upwind schemeoptimal rate of convergencemaximum normage-structured population dynamicslarge-time behavior of numerical solutions

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Population dynamics (general) (92D25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) First-order nonlinear hyperbolic equations (35L60) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (13)

The exact solution of nonlinear age-structured population model ⋮ Age-time continuous Galerkin methods for a model of population dynamics ⋮ Mixed approximation of a population diffusion equation ⋮ Splitting methods for the numerical approximation of some models of age-structured population dynamics and epidemiology ⋮ Haar wavelet method for solving nonlinear age-structured population models ⋮ Numerical solution of the nonlinear age-structured population models by using the operational matrices of Bernstein polynomials ⋮ Discontinuous-continuous Galerkin methods for population diffusion with finite life span ⋮ An efficient algorithm for solving nonlinear age-structured population models by combining homotopy perturbation and Padé techniques ⋮ Discrete kinetic theory for 2D modeling of a moving crowd: application to the evacuation of a non-connected bounded domain ⋮ High-order discontinuous Galerkin methods for a class of transport equations with structured populations ⋮ Second-order characteristic schemes in time and age for a nonlinear age-structured population model ⋮ Variational iteration method for nonlinear age-structured population models ⋮ Age-structured population model under uncertain environment

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A hybrid scheme for solving a model of population dynamics
• Separable models in age-dependent population dynamics
• Numerical methods for a model of population dynamics
• An upwind scheme for a nonlinear hyperbolic integro-differential equation with integral boundary condition
• Rapidly converging numerical algorithms for models of population dynamics
• Threshold methods for threshold models in age dependent population dynamics and epidemiology
• An explicit extrapolated box scheme for the Gurtin-MacCamy equation
• Product solutions and asymptotic behavior for age-dependent, dispersing populations
• Non-linear age-dependent population dynamics
• A numerical method for nonlinear age dependent population models
• Second-Order Accurate Difference Methods for a One-Sex Model of Population Dynamics
• Analytical and Numerical Results for the Age-Structured S-I-S Epidemic Model with Mixed Inter-Intracohort Transmission

This page was built for publication: An upwind scheme for a nonlinear model in age-structured population dynamics