CAJ | 학술논문

研究了一类食饵具有阶段结构和HollingII类功能性反应的时滞捕食系统。通过分析相关的特征方程，以捕食者的消化时滞为参数，讨论了系统正平衡点的局部稳定性和Hopf分支的存在性。进一步，利用规范型理论和中心流形定理，给出了确定Hopf分支方向和分支周期解稳定性的计算公式。最后利用仿真实例证明了理论分析结果的正确性。
연구료일류식이구유계단결구화HollingII류공능성반응적시체포식계통。통과분석상관적특정방정，이포식자적소화시체위삼수，토론료계통정평형점적국부은정성화Hopf분지적존재성。진일보，이용규범형이론화중심류형정리，급출료학정Hopf분지방향화분지주기해은정성적계산공식。최후이용방진실예증명료이론분석결과적정학성。
This paper probes into a time-lag predator-prey system with stage-structure and Holling II functional response. The local stability and the existence of Hopf bifurcation are demonstrated by analysing the relevant characteristic equation and regarding the digestion-lag of predators as the parameter. Furthermore, the computational formula which determines the orientation of Hopf bifurcation and the stability of its periodic solution by utilizing the normal form method and center manifold theorem is provided. Finally, the validity of theoretical analysis result tends to be testified by means of simulation examples.