生长季节和非生长季节交替出现的种群动态模型及环境变化的影响  

Dynamic Model for Population Whose Growing and Non-Growing Season Present in Turns and the Influence of Environmental Change

作　　者：刘汉武[1] 周立[2] 刘伟[2] 周华坤[2] 

机构地区：[1]运城学院应用数学系,山西运城044000 [2]中国科学院西北高原生物研究所,青海西宁810001

出　　处：《生物数学学报》2008年第3期435-442,共8页Journal of Biomathematics

基　　金：国家科技支撑课题第一专题(2006BAC01A02-01);国家自然科学基金面上项目(30700563)

摘　　要：有些生物的生长季节和非生长季节交替出现,本文建立了描述这种生物种群动态的方程,并研究了在环境稳定、随机波动、定向变化的情况下种群的变化方式,还讨论了种群的危害及濒危情况,生长季节延长时种群增大,有害生物的危害加重,濒危生物濒危程度减轻;生长季节缩短时种群减小,有害生物的危害减轻,濒危生物更加濒危或灭绝.For some biology, growing season and non-growing season present in turns. Model describing population dynamics of this kind of biology is formulated. Population variations, when environment is stable, randomly fluctuate and take directional change, are investigated. The harmfulness and extinction risk of population are discussed. When growing season lengthens the population enlarges, the harmfulness of pest aggravates and the extinction risk of endangered species diminishes. Simultaneously, when growing season shortens the population reduces, the harmfulness of pest lightens and the endangered species dies out or its extinction risk rises.

关 键 词：种群动态 周期生长 环境变化 危害 濒危 

分 类 号：O175.1[理学—数学] Q145.1[理学—基础数学]