= Solution
At low density the per-generation growth factor is approximately $\alpha/\beta$. The power $\gamma$ controls how sharply crowding reduces recruitment or survival when resources become limiting; at high density $F(u)\sim\alpha u^{1-\gamma}$. Larger $\gamma$ therefore means a stronger <overcompensation in a population model>.
The flip threshold says that sufficiently strong density feedback can destabilize a constant positive <biological population> and create alternating generations, under the usual nondegeneracy conditions. \b[A local loss of fixed-point stability alone does not establish <chaos>], nor does it prove every ecological system with stronger crowding must follow the same route.
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