Vol. 15 (2007)
Articles

Convergence of an Age-Physiology Dependent Population Model

Jean M. Tchuenche
Department of Mathematics, University of Dar es Salaam, P.O.Box 35062, Dar es Salaam, Tanzania. 

Published 28-02-2025

Keywords

  • age,
  • discrete scheme ,
  • population dynamics,
  • physiology variable,
  • convergence.

Abstract

We propose a method for partially discretizing a model of an agedependent population dynamics with an additional structure whose growth rate is age-dependent. We give theoretical conditions under which a second order
accuracy arises. A priori estimates are obtained. The main result indicates that
the sum of these errors converges and is of second order accuracy.