彭美丽, 滕志东. 周期环境的具有年龄结构的单种群恒化器模型的全局动力学(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2011, 28(3): 283-288.DOI:
周期环境的具有年龄结构的单种群恒化器模型的全局动力学(英文)
摘要
研究了一个ω周期环境的具有年龄结构的恒化器模型
阈值R0被一个特殊线性方程的基解矩阵所定义
全局动力学被阈值R0决定
即:如果R0<1种群灭绝周期解全局渐近稳定;如果R0>1则种群持久.
Abstract
In this paper
we study a single-species chemostat model in an ω-periodic environment with stage structure.The threshold value R0 is defined by means of the fundamental solution matrix of a special linear equation.The global dynamics are determined by using threshold value R0.That is
if R0 < 1 the population eradication periodic solution is globally asymptotically stable and if R0 > 1 then the population is permanent.
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Keywords
references
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