CAJ | 학술논문

　　从浮游植物与浮游动物的连续动力学模型出发，建立了一个浮游生物的离散动力系统，然后研究了正不动点的存在性、局部稳定性以及关于环境对有毒浮游植物的最大承载能力的局部分叉，并且运用中心流行定理分析了在flip分叉值处不动点的局部稳定性，最后用数值模拟方法验证了不动点的局部分叉，描述了捕捞力度对浮游生物资源的可持续利用的影响。
　　종부유식물여부유동물적련속동역학모형출발，건립료일개부유생물적리산동력계통，연후연구료정불동점적존재성、국부은정성이급관우배경대유독부유식물적최대승재능력적국부분차，병차운용중심류행정리분석료재flip분차치처불동점적국부은정성，최후용수치모의방법험증료불동점적국부분차，묘술료포로력도대부유생물자원적가지속이용적영향。
In this paper, a plankton discrete dynamical model is established in light of considering a phytoplankton and zooplankton continuous model. The existence and local stability of the positive equilibrium, and the local bifurcation about the environmental carrying capacity of toxin producing phytoplankton population are discussed. The center-manifold theorem is used to analyze the local stability of the fixed point at flip bifurcation value. Finally,the numerical simulation is used to verify the local bifurcations of fixed points,and analyze the influence of harvesting effort on the sustainable utilization of the plankton resources.