Order reprints

Qualitative analysis of a model for co-culture of bacteria and amoebae

Laura Fumanelli Pierre Magal Dongmei Xiao Xiao Yu

*Corresponding author:  

MBE2012,2,259doi:10.3934/mbe.2012.9.259

In this article we analyze a mathematical model presented in [11]. The model consists of two scalar ordinary differential equations, which describe the interaction between bacteria and amoebae. We first give the sufficient conditions for the uniform persistence of the model, then we prove that the model can undergo Hopf bifurcation and Bogdanov-Takens bifurcation for some parameter values, respectively.

Please supply your name and a valid email address you yourself

Fields marked*are required

Article URL   http://www.aimspress.com/MBE/article/2574.html
Article ID   1551-0018_2012_2_259
Editorial Email  
Your Name *
Your Email *
Quantity *

Copyright © AIMS Press All Rights Reserved