Introduction
I am now a PhD student in Theoretical Ecology at the Institute for Biodiversity and Ecosystem Dynamics, University of Amsterdam. I started my PhD project from September, 2011. Before I came to the Netherlands, I was a master student at the Department of Mathematics, Nanchang University, China. I have studied mathematics for seven years at Nanchang University. I got my BSc degree in July 2008 and got my MSc degree in June 2011.
Education/Research Background
2008.9 - 2011.6 Department of Mathematics, Nanchang University, China
Research on Differential Equations and Mathematical Biology
2004.8 - 2008.7 Department of Mathematics, Nanchang University, China
Major in Computational Mathematics and Information Science
2001.9 - 2004.6 No.1 Middle School of Yongchang, Gansu Province, China
Current Research Project
Many real ecosystems may have both continuous and discrete phenomena, for example, some animals eat resource and also die over a year which can be described as a continuous process but their reproduction usually occurs during a very short period each year.We call this semi-discrete dynamics.
Impulsive differential equations in which variables and parameters have smooth variation for a long period followed by an instantaneously shape change are widely used to simulate semi-discrete dynamics. My project is to study the consumer-resource model with pulsed reproduction. The main interests are:
1. Existence and stability of equilibria;
2. Bifurcation of discrete maps;
3. Different dynamics between a semi-discrete model and a continuous model and the biological background behind these differences.
The softwares and packges I am using are Matlab, Matcont, Maple and Escalator Boxcar Train (EBT).