中文摘要：

考虑一类渔业资源储量-捕捞力度模型,首先,本文运用中心流形定理确定系统的不动点在发生Flip分叉时的临界稳定性,然后,根据规范型理论确定系统的不动点在发生Neimark-Sacker分叉时的临界稳定性,最后,通过数值模拟验证了结论.

英文摘要：

In this paper, we consider a Stock-effort dynamical model. First, we use the center manifold theorem to determine the critical stability of fixed point for the system when the Flip bifurcation occurs. Then, according to the theory of norm form, we determine the critical stability of fixed point for the system when the Neimark-Sacker bifurcation occurs. In the end, the conclusion is verified by numerical simulation.