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:
影响因子:
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通讯作者:
Xianshan Yang;Xiong Li;Hao Wang;Y. Kuang
中科院分区:
文献类型:
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作者:
Xianshan Yang;Xiong Li;Hao Wang;Y. Kuang
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...