Ma. Kirkilionis et al., Numerical continuation of equilibria of physiologically structured population models. I. Theory, MATH MOD M, 11(6), 2001, pp. 1101-1127
The paper introduces a new numerical method for continuation of equilibria
of models describing physiologically structured populations. To describe su
ch populations, we use integral equations coupled with each other via inter
action (or feedback) variables. Additionally we allow interaction with unst
ructured populations, described by ordinary differential equations. The int
eraction variables are chosen such that if they are given functions of time
, each of the resulting decoupled equations becomes linear. Our numerical p
rocedure to approximate an equilibrium which will use this special form of
the underlying equations extensively. We also establish a method for local
stability analysis of equilibria in dependence on parameters.