Display Abstract

Title The effect of harvesting on Pielou's equation for $k=2$

Name Mohamed Ben Haj Rhouma
Country Qatar
Email rhouma@qu.edu.qa
Co-Author(s)
Submit Time 2014-02-27 11:20:16
Session
Special Session 30: Discrete dynamics and applications
Contents
In this talk, we will discuss the effect of harvesting on a population governed by Pielou's equation. In particular, we will discuss the stability and the basin of attraction of the positive fixed point of the difference equation \[ x_{n+1}=\frac{\beta x_n}{1+ x_{n-k}} -h \] The effect of both the delay $k$ and the harvesting level $h$ will be examined.