| 一类带有成熟期及捕获的单种群模型最优化分析 |
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| 引用本文： | 苏丹丹.一类带有成熟期及捕获的单种群模型最优化分析[J].河北科技师范学院学报,2009,23(4):65-68,80. |
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| 作者姓名： | 苏丹丹 |
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| 作者单位： | 罗定职业技术学院,教育系,广东,罗定,527200 |
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| 摘 要： | 利用常微分方程的定性、稳定性理论、种群动力学等知识,对一类带有成熟期及捕获的单种群模型进行研究,分析了系统在其平衡点的稳定性态,通过特征方程的特征根判断在T=0时平衡点的稳定性以及在T〉0时正平衡点的局部稳定性随成熟期变化的情况,得到系统平衡点的绝对稳定和绝对不稳定以及不稳定情况,从而得到捕获率h满足一定的条件时,经济效益最大。
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| 关 键 词： | 单种群模型 成熟期 平衡点 特征方程 捕获 |
Optimization Analysis of One Single Population Model with Period of Maturity and Catch |
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| SU Dan-dan.Optimization Analysis of One Single Population Model with Period of Maturity and Catch[J].Journal of Hebei Normal University of Science & Technology,2009,23(4):65-68,80. |
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| Authors: | SU Dan-dan |
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| Institution: | SU Dan-dan (Dept of Education, Luoding Polytechnic, Luoding Guangdong, 527200, China) |
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| Abstract: | One single population model with the period of mature and catch was studied to analyze its stability on the balance point of the model by utilizing the qualitative,stability theory of the ordinary differential equation and the population dynamics etc.Considering the character roots of the character equation,the system s balance point stability was obtained by the situation of the balance point when T=0 or T〉0.Furthermore,the condition of the capture rate h was obtained at the greatest economic benefit. |
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| Keywords: | single population model maturation period equilibrium characteristic equation capture |
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