Stability and Bifurcation in a Stoichiometric Producer-Grazer Model with Knife Edge

Stability and Bifurcation in a Stoichiometric Producer-Grazer Model with Knife Edge
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DOI:
10.1137/15m1023610
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发表时间:
2016-11
期刊:
SIAM J. Appl. Dyn. Syst.
影响因子:
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通讯作者:
Xianshan Yang;Xiong Li;Hao Wang;Y. Kuang
Xianshan Yang;Xiong Li;Hao Wang;Y. Kuang
中科院分区:
其他
文献类型:
--
作者:
Xianshan Yang;Xiong Li;Hao Wang;Y. Kuang

文献摘要

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所有生物都是由多种化学元素组成的,如氮(N)、磷(P)和碳(C)。磷是构建核酸(DNA和RNA)所必需的,氮是蛋白质生产所必需的。为了跟踪消费者(食草者)对磷的需求与提供者(生产者)对磷的含量之间的不匹配,建立了化学计量模型,明确地将食品质量和数量结合起来。除了在生态学和生物学中的基本应用外,化学计量模型特别适用于医学应用,在这些应用中,化学计量不同的病原体或癌细胞与正常细胞竞争,并且由于过量的化疗药物或辐射吸收而遭受更高的死亡率。大多数化学计量模型表明,当供给者的养分含量较低(低磷碳比)时,消费者的动态很大程度上取决于供给者的磷含量。受最近实验室实验的启发,研究人员探索了过量生产者营养的影响……
All organisms are composed of multiple chemical elements such as nitrogen (N), phosphorus (P), and carbon (C). P is essential to build nucleic acids (DNA and RNA) and N is needed for protein production. To keep track of the mismatch between the P requirement in the consumer (grazer) and the P content in the provider (producer), stoichiometric models have been constructed to explicitly incorporate food quality and quantity. In addition to their fundamental applications in ecology and biology, stoichiometric models are especially suitable for medical applications where stoichiometrically distinct pathogens or cancer cells are competing with normal cells and suffer a higher death rate due to excessive chemotherapy agent or radiation uptake. Most stoichiometric models have suggested that the consumer dynamics heavily depends on the P content in the provider when the provider has low nutrient content (low P:C ratio). Motivated by recent lab experiments, researchers explored the effect of excess producer nutrie...