BCAM Seminar The effect of time delay and periodicity on some population models
Fecha: Mar, Feb 9 2010
Ubicación: Waseda University, Tokyo, Japan
Ponentes: Yukihiko NAKATA
In this talk, I would like to introduce three topics from my recent research on the global dynamics of some population models. The effect of time delay and periodicity for the models will be discussed.
1. Global stability of logistic equations with multiple delays
We study stability property for logistic difference equations which model a dynamics of a single population with non-overlapping generation. For the case that the growth rate is depend on a past generation, 3/2 type stability condition is known as a sharp global stability condition of the model. However, if the growth rate of the population depends on \multiple\" past generations, we show that the \"3/2 type condition\" can be relaxed and there exists a several global stability conditions depend on the effect of each generation. Some examples are presented.
1. Global stability of logistic equations with multiple delays
We study stability property for logistic difference equations which model a dynamics of a single population with non-overlapping generation. For the case that the growth rate is depend on a past generation, 3/2 type stability condition is known as a sharp global stability condition of the model. However, if the growth rate of the population depends on \multiple\" past generations, we show that the \"3/2 type condition\" can be relaxed and there exists a several global stability conditions depend on the effect of each generation. Some examples are presented.