CAJ | 학술논문

研究了一类高维时滞非线性松籽、鼠类和幼苗的红松林生态系统的动力学行为，讨论了时滞对平衡点的稳定性和 Hopf 分支影响，指出了随着时滞的变化，平衡点由稳定变为不稳定，产生Hopf 分支现象，并且考虑周期解的方向和限制在中心流形上该周期解的稳定性。数值模拟例证了分析结果。
연구료일류고유시체비선성송자、서류화유묘적홍송림생태계통적동역학행위，토론료시체대평형점적은정성화 Hopf 분지영향，지출료수착시체적변화，평형점유은정변위불은정，산생Hopf 분지현상，병차고필주기해적방향화한제재중심류형상해주기해적은정성。수치모의예증료분석결과。
In this paper, a kind of Pinus koraiensis ecological system with time delay including pine seeds, squirrels and seedlings is considered. The effect of time delay on stability of the equilibrium and Hopf bifurcation has been studied. And the results show that the delay may cause a stable equilibrium to become unstable, Hopf bifurcation occurs. The direction and stability of the Hopf bifurcation periodic solution bifurcating from Hopf bifurcation at the positive equilibrium is obtained by using the normal form theory and center manifold theory. Numerical simulation with some hypothetical sets of data has been done to support the analytical findings.