具有阶段结构的单物种生长时滞模型。
A time-delay model of single-species growth with stage structure.
作者信息
Aiello W G, Freedman H I
机构信息
Department of Mathematics, University of Alberta, Edmonton, Canada.
出版信息
Math Biosci. 1990 Oct;101(2):139-53. doi: 10.1016/0025-5564(90)90019-u.
PMID:2134483
Abstract
A single-species growth model with stage structure consisting of immature and mature stages is developed using a discrete time delay. It is shown that under suitable hypotheses there exists a globally asymptotically stable positive equilibrium. Questions concerning oscillation and nonoscillation of solutions are addressed analytically and numerically. The effect of the delay on the populations at equilibrium is also considered.
摘要
利用离散时滞建立了一个具有未成熟和成熟阶段的单物种阶段结构增长模型。结果表明，在适当的假设下，存在一个全局渐近稳定的正平衡点。通过解析和数值方法研究了解的振荡和非振荡问题。还考虑了时滞对平衡种群的影响。
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