Numerical continuation of equilibria of physiologically structured population models
The paper introduces a new numerical method for continuation of equilibria of models describing physiologically structured populations. To describe such populations, we use integral equations coupled with each other via interaction (or feedback) variables. Additionally we allow interaction with unstructured populations, described by ordinary differential equations. The interaction variables are chosen such that if they are given functions of time, each of the resulting decoupled equations becomes linear. Our numerical procedure to approximate an equilibrium will use heavily this special form of the underlying equations. We also establish a method for local stability analysis of equilibria in dependence on parameters.
|Systems of nonlinear integral equations (msc 45G15), Integral equations (msc 65R20), Integral equations, integral transforms (msc 65Rxx), Models, numerical methods (msc 65C20), None of the above, but in MSC2010 section 65Jxx (msc 65J99), Integral equations (msc 65R20), Population dynamics (general) (msc 92D25)|
|Software (theme 1)|
|Modelling, Analysis and Simulation [MAS]|
|Organisation||Software Analysis and Transformation|
Kirkilionis, M.A, Diekmann, O, Lisser, B, Nool, M, de Roos, A.M, & Sommeijer, B.P. (1997). Numerical continuation of equilibria of physiologically structured population models. Modelling, Analysis and Simulation [MAS]. CWI.