| 一类富营养水体渔业收获模型的定性分析 |
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| 作者单位： | ;1.信阳师范学院数学与信息科学学院 |
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| 摘 要： | 基于富营养水体中生产者和消费者之间的关系,构建了一类富营养水体渔业收获模型.给出了系统边界平衡态的存在性和稳定性,分析了正平衡态的存在性及个数变化情况,指出系统在一定条件下存在两个正平衡点,进一步地给出了系统正平衡态为鞍结点的条件.最后,以收获率作为目标参数,简要给出了相关生物学意义.
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| 关 键 词： | 富营养 水体 渔业模型 收获 鞍结点分支 |
Qualitative Analysis of a Kind of Fishery Harvest Model in Eutrophic Water Body |
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| Institution: | ,Department of Mathematics and Information Science,Xinyang Normal University |
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| Abstract: | Based on the relationships between producers and consumers in the eutrophic water body,a kind of fishery harvest model is presented.The existence and stability of the boundary equilibria are given,the existence and the number of positive equilibrium are analyzed.We found under certain conditions the system has two positive equilibria.Furthermore,the conditions under which the positive equilibrium is a saddle-node are given.Finally,taking the catch rate as a target parameter,some biological meanings are given. |
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| Keywords: | eutrophication water fisheries model harvest saddle-node bifurcation |
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