数理人口学・数理生物学セミナー

過去の記録 ~02/27次回の予定今後の予定 02/28~


2009年07月16日(木)

15:00-16:20   数理科学研究科棟(駒場) 056号室
Odo Diekmann 氏 (Mathematical Institute, Utrecht University)
The delay equation formulation of physiologically structured population models
[ 講演概要 ]
Traditionally, physiologically structured population models are formulated in terms of first order partial differential equations with non-local boundary conditions and/or transformed arguments. The stability and bifurcation theory for such equations is, in the quasi-linear case, still very immature.
The aim of this lecture is to explain that, alternatively, one can formulate such models in terms of delay equations (more precisely : renewal equations coupled to delay differential equations) without losing essential information and that for delay equations there is a well-developed local stability and bifurcation theory. As a motivating example we consider the interaction between a size-structured consumer and an unstructured resource. The lecture is based on joint work with Mats Gyllenberg and Hans Metz.