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具污染与捕获的Logistic单种群的持续生存及绝灭

Persistence and Extinction of Logistic Single-Species with Pollution and Harvesting

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【作者】 冯由玲王克孙静懿

【Author】 FENG You-ling~(1,2) WANG Ke~3 SUN Jing-yi~4 1 Applied Mathematics Department,Changchun Taxation College,Changchun Jilin 130117 China 2 Mathematics Institute,Jilin University,Changchun Jilin 130012 China 3 Mathematics Department,Harbin Institute of Technology(Weihai),Weihai Shangdong 264209 China 4 Basic Department,Changchun Finance College,Changchun,Jilin 130022 China

【机构】 长春税务学院应用数学系哈尔滨工业大学(威海)数学系长春金融高等专科学校基础部 吉林长春130117吉林大学数学所吉林长春130012山东威海264209吉林长春130022

【摘要】 当今社会工农业的高速发展在给人们带来经济利益的同时,也造成了严重的环境污染.一些生物种群一方面受到污染的威胁,另一方面还要满足人们捕获的需求.这就使得环境污染中的种群捕获问题成为人们关心的问题.本文指出以往环境污染单种群模型的不足之处,基于文献[3]的基础上给出新模型;并得到了一致持续生存及灭绝的充分条件;而且通过具体例子给出两个控制变量:环境毒素输入率和捕获率之间的关系图.

【Abstract】 With the development of industries and agricultures,great economic profits have been brought;but in the meanwhile environment pollutions have also been made.Many species not only live in the danger of toxicant pollution,but also face peoples’ harvesting.Therefore,some species are i the verge of extinction.More and more people are concerned about the harvesting of speces living in the polluted environment.Based on paper [3],we point out some disadvantage of model before and give a developed model.We obtain the sufficient conditions of persistence and extinction;and also give an example to show the relation between the toxicant input rate from environment and harvesting rate.

【关键词】 种群污染捕获持续生存绝灭比较定理
【Key words】 SpeciesPollutionHarvestingPersistenceExtinctionComparison theorem
【基金】 国家自然科学基金项目(No.10171010);教育部科学技术研究重点项目(No.01061)
  • 【文献出处】 生物数学学报 ,Journal of Biomathematics , 编辑部邮箱 ,2006年03期
  • 【分类号】O175;X171
  • 【被引频次】21
  • 【下载频次】261
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