Theoretical ecology methods are used to model bacterial interactions in the gut. We study a reduced 2D form of gLV equations, one such ecological model, to examine the stability of steady states and to perform a bifurcation analysis. Resulting from this bifurcation analysis, we learned how to change parameters in a principled way in order to modify the stability of steady states and therefore drive the system into a desired steady state. This 2D system is the result of a reduction method that compresses high-dimensional ecological systems into this 2D form. Bifurcation analysis of this 2D system may may therefore inform the high-dimensional system. Our research, which describes how to attain different steady states by modifying system parameters, will lead to testable experimental predictions that can help maintain microbiome health.
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