The three dimensional chemostat with
nth and
mth order polynomial yields, instead of the particular one such as
A +
BS,
A +
BS
2,
A +
BS
3,
A +
BS
4,
A +
BS
2 +
CS
3 and
A +
BS
n
, is proposed. The existence of limit cycles in the two-dimensional stable manifold, the Hopf bifurcation and the stability
of the periodic solution created by the bifurcation are proved.
Keywords Chemostat - Polynomial yields - Stable manifold - Limit cycles - Hopf bifurcation