Abstract
Th is paper presents the stability analysis of equilibriu m po ints of a model involving co mpetition between three species subject to a strong Allee effect which occurs at low population density . By using the software of MAPLE 10, we prove that, under certain conditions, the model has at most twenty seven nonnegative equilibriu m points and, via Lyapunov function, we derive criteria for the asymptotical stability of the unique positive equilibriu m point.
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