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Updated: May 2, 2026
Discovery of New Intracellular Pathogens by Amoebal Coculture and Amoebal Enrichment Approaches
Published on: October 28, 2013
Qualitative analysis of a model for co-culture of bacteria and amoebae
Laura Fumanelli1, Pierre Magal, Dongmei Xiao
1Center for Information Technology, Bruno Kessler Foundation, Trento Povo, Italy. lfumanelli@fbk.eu
Abstract:
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.
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