Adaptive dynamics for physiologically structured population models

Physiologically Structured Models of Rotifer Population Dynamics in a Chemostat

Current knowledge of the principles of population dynamics is unsatisfactory on both empirical and theoretical grounds. The main problems are a weak empirical base, overly simple models with but vague links to real systems, and little effective interplay between theory and experiment. We therefore believe there is a need for renewed emphasis on carefully controlled laboratory studies of populat...

Numerical Continuation of Equilibriaof 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 diierential equations. The interaction variables are ...

[hal-00780721, v1] Modelling targets for anticancer drug control optimisation in physiologically structured cell population models

The main two pitfalls of therapeutics in clinical oncology, that limit increasing drug doses, are unwanted toxic side effects on healthy cell populations and occurrence of resistance to drugs in cancer cell populations. Depending on the constraint considered in the control problem at stake, toxicity or drug resistance, we present two different ways to model the evolution of proliferating cell p...

PSPManalysis A package for numerical analysis of physiologically structured population models

A Note on the Convergence of the Homotopy Analysis Method for Nonlinear Age-Structured Population Models

In this paper, a theorem is proved which presents the series solution obtained from the homotopy analysis method is convergent to the exact solution of nonlinear age-structured population models.