CAJ | 학술논문

研究了一类具有Allee效应和时滞的离散单种群模型。通过分析正平衡点的特征方程，研究了正平衡点的稳定性和Neimark-Sacker分支的存在性。并基于中心流形定理和分支理论，讨论了Neimark-Sacker分支方向和稳定性。最后通过数值模拟验证了结论的可行性。
연구료일류구유Allee효응화시체적리산단충군모형。통과분석정평형점적특정방정，연구료정평형점적은정성화Neimark-Sacker분지적존재성。병기우중심류형정리화분지이론，토론료Neimark-Sacker분지방향화은정성。최후통과수치모의험증료결론적가행성。
We consider a single population discrete model with Allee effect and delay.By analyzing the characteristic e-quation of the linearized system at the positive equilibrium, we obtain the conditions ensuring the asymptotic stability of the positive equilibrium and the existence of Neimark-Sacker bifurcation, with respect to the parameter of the model. Based on the center manifold theorem and bifurcation theory, we discuss Neimark-Sacker bifurcation direction and the stability of bifurcated solutions.Finally, some numerical simulations are performed to illustrate the theoretical results.