两个专属渔业资源区的离散动力学模型的分叉分析

Bifurcation Analysis of Discrete Dynamical Model for Two Special Fishery Resource Zones

对渔业资源储量-捕捞力度动态模型进行了进一步研究,运用中心流形定理及规范型分析了正平衡点在flip分叉及Neimark-Sacker分叉时的临界稳定性,并用数值模拟验证了所得的理论结果.

In this paper , we study the fish resources stock-effort dynamical model , analyse the marginal stability of positive fixed point at flip bifurcation and Neimark-Sacker bifurcation with center-manifold theorem and normal form respectively , and use numerical simulations to verify the conclusions .