污染与捕获对种群系统的影响分析
The Effect of Pollution and Capture on Biotic Population System

作者: 张丽娟 * , 刘艳艳 , 张艳芳 :防灾科技学院, 三河;

关键词: 种群环境污染捕获持续生存绝灭Population Environmental Pollution Capture Persistence Extinction

摘要:
一些生物一方面受环境污染一方面又要满足捕获的需要,从而使得环境污染中种群捕获问题备受关注。本文研究了一类污染环境中种群生存的动力学模型,基于已有结果,考虑内禀增长率为非线性函数和种群满足捕获需求的情形,加入种群变量对生物体内毒素和环境毒素浓度的影响从而建立新模型,并得到种群一致持续生存及灭绝的判别条件。

Abstract:
Some biological aspects are not only affected by environmental pollution, but also have to meet the need of human being capture. Thus the biotic population problem in the environmental pollution has been taken so much attention. This paper has studied the dynamic model of a class of population living in a pol- luted environment. Based on the existing results, we have established new model with the effect of population variables on organisms and environmental toxins concentration, and with the nonlinear intrinsic growth rate and the population trapping. We have also obtained the sufficient and necessary conditions for the uniform persistence and extinction of population.

文章引用: 张丽娟 , 刘艳艳 , 张艳芳 (2013) 污染与捕获对种群系统的影响分析。 运筹与模糊学, 3, 23-27. doi: 10.12677/ORF.2013.33004

参考文献

[1] 燕雪飞, 殷红等. 污染环境中但种群生存分析[J]. 生物数学学报, 2009, 24(1): 87-92.

[2] 冯由玲, 王克, 孙静懿. 具污染和捕获的Logistic单种群持续生存与绝灭[J]. 生物数学学报, 2006, 21(3): 365-369.

[3] B. Bnonomo, A. D. Liddo and I. A. Sgura. Diffusive-convective model for the dynamics of population-toxocant intentions: Some analytical and numerical result. Mathematical Biographies, 1999, 157(1): 37-64.

[4] 马知恩. 种群生态学的建模与研究[M]. 合肥: 安徽教育出版社, 1996: 168-189.

[5] Z. Li, Z. S. Shuai and K. Wang. Persistence and exitiction of single population in a polluted environment. Electronic Journal of Differential Equation, 2004, 8: 1-5.

分享
Top