摘要
研究了环境污染对Leslie资源-消费者系统中消费者种群的长期影响.考虑到种群数量的变化对种群体内毒素浓度和环境毒素浓度的影响,建立了一个新的数学模型, 给出了消费者种群弱持续生存和绝灭的判据,并在一定条件下得到了弱持续生存与绝灭的阈值.
This paper concentrates on the system, located in a polluted environment. A new study of the long-time behavior of Leslie model is obtained by considering the effect of the variance of the population on the internal and environmental toxicant density. Sufficient criteria on weak persistence and extinction of the consumer population axe obtained. The threshold between weak persistence and extinction can be established in some cases.
出处
《系统科学与数学》
CSCD
北大核心
2006年第1期31-41,共11页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金资助项目(10171010)
教育部科学技术研究重点项目(01061).
关键词
Leslie系统
消费者种群
环境污染
弱持续生存
绝灭
Leslie system, consumer population, environmental pollution, weak persistence, extinction.