Qualitative analysis of a model for co-culture of bacteria and amoebae.
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.
Center for Information Technology, Bruno Kessler Foundation, Trento Povo, Italy. lfumanelli@fbk.eu
Laura
L
Fumanelli
Pierre
P
Magal
Dongmei
D
Xiao
Xiao
X
Yu
D000656:Amoeba / Q000254:growth & development*; D001419:Bacteria / Q000254:growth & development*; D018920:Coculture Techniques; D003198:Computer Simulation; D008954:Models, Biological