污染环境下单种群模型生存阈值(英文)  

The Thresholds of Survival for a Single-Species Population Model in a Polluted Environment

作　　者：雒志学[1] 于晓娣[1] 巴争刚[1] 

机构地区：[1]兰州交通大学数学系,甘肃兰州730070

出　　处：《生物数学学报》2011年第2期211-222,共12页Journal of Biomathematics

基　　金：Supported by the Nature Science Foundation of China(11061017);the Nature Science Foundation of Gansu Province of China(1010RJZA075)

摘　　要：本论文研究了污染环境下毒素对单种群生存的影响.在环境容纳量较小的假设下建立了生物种群模型,在该模型中不但考虑了环境毒素浓度对生物个体生存的影响,还考虑了生物个体从食物链中吸收的毒素对其影响.通过研究得到种群一致持续生存和若平均持续生存的充分条件,同时得到种群持续生存依赖于模型参数和生物个体体内毒素净化率的某些充分条件.In this paper, we study the long-term behavior of a single-species population living in a polluted environment. In a small content of the environment, a new mathematical model is derived assuming that the organisms suck up toxicant from the environment and the food chain. Sufficient criteria for uniform persistence, weak persistence in the mean or extinction of the population are obtained. We also obtain some sufficient conditions, depending on the parameters of the model and the clean up rate, under which the population will be persistent.

关 键 词：生存 绝灭 种群 污染 

分 类 号：O175.1[理学—数学]