摘要
假设鱼群只在红树林自然保护区进行繁殖活动,并且在该区域禁止捕捞,建立了一个渔业资源储量的离散动力学模型,分析了正平衡点的存在性、稳定性以及关于捕捞力度的局部分叉,并用数值模拟验证了不动点的局部分叉,应用中心流形定理研究了有一个特征值为-1时平衡点的稳定性.
In this paper, we assume that the fish is only bred and fishing is banned in mangrove natural reserve. We establish a dynamical model of fishery stock to analyze the existence and stability of the positive equilibrium, and local bifurcations about fishing efforts. The local bifurcation is verified by numerical simulation. We use center-manifold theorem to investigate the stability of the positive equilibrium with one eigeuvalue being - 1.
出处
《中南民族大学学报（自然科学版）》
CAS
2013年第3期104-107,共4页
Journal of South-Central University for Nationalities：Natural Science Edition
基金
国家自然科学基金资助项目(10871209)
中南民族大学研究生创新基金资助项目(2013sycxjj085)
关键词
红树林
正平衡点
flip分叉
中心流形定理
mangrove
positive equilibrium
flip bifurcation
center-manifold theorem
