Oscillations induced by the time lags in limited nutrient–consumer dynamic models
Oscillations induced by the time lags in limited nutrient–consumer dynamic models
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DOI：
10.1016/j.chaos.2004.10.010
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发表时间：
2005-07
影响因子：
7.8
通讯作者：
V. Rao;P. S. Rao
中科院分区：
文献类型：
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作者：
V. Rao;P. S. Rao
本文分析了一个数学模型，该模型描述了有限的营养-消费者动态，其中营养输入和供应速率随时间变化，并涉及营养循环和生物物种生长的分布式时间延迟。当养分输入和供给速率均为周期时，模型方程具有周期解的存在性。讨论了模型方程解的渐近性质。
A mathematical model describing limited nutrient–consumer dynamics with both nutrient input and its supply rate varying with respect to time and involving distributed time delays both in nutrient recycling and biotic species growth has been analyzed. The existence of periodic solutions to the model equations when both the nutrient input and its supply rate are periodic, of the same period, has been established. Asymptotic behaviour of solutions of the model equations has also been discussed.