Runge-Kutta methods for age-structured population models
Applied Numerical Mathematics
Applied Mathematics and Computation
A perspective on the numerical treatment of Volterra equations
Journal of Computational and Applied Mathematics - Special issue on numerical anaylsis 2000 Vol. VI: Ordinary differential equations and integral equations
On the approximation of the Lotka-McKendrick equation with finite life-span
Journal of Computational and Applied Mathematics
A Collocation Method for the Gurtin--MacCamy Equation with Finite Life-Span
SIAM Journal on Numerical Analysis
Hi-index | 7.29 |
The Lotka-McKendrick's model is a well-known model which describes the evolution in time of the age structure of a population. In this paper we consider this linear model and discuss a range of methods for its numerical solution. We take advantage of different analytical approaches to the system, to design different numerical methods and compare them with already existing algorithms. In particular we set up some algorithms inspired by the approach based on Volterra integral equations and we also consider a direct approach based on the nonlinear system that describes the evolution of the age profile of the population.