Abstract：
:Recent discoveries in ecological stoichiometry have indicated that food quality in terms of the phosphorus/carbon (P/C) ratio affects consumers whether the imbalance involves insufficient or excess nutrients. This phenomenon is called the "stoichiometric P/C knife-edge." In this study, we develop and analyze a producer-consumer model which captures this phenomenon. It assesses the effects of (external) nutrient (P) loading on consumer dynamics in an aquatic environment by mechanistically deriving and accounting for seasonal variation in nutrient loading. In the absence of seasonal effects, previous models suggest that the dynamics are Hopf bifurcation, saddle-node bifurcations, and limit cycles. However, seasonal effects can have major implications on the predicted solutions and enrich population dynamics. Bifurcation analyses demonstrate that seasonal forcing can cause both periodic and quasi-periodic solutions.
journal_name
Bull Math Bioljournal_title
Bulletin of mathematical biologyauthors
Asik L,Kulik J,Long KR,Peace Adoi
10.1007/s11538-019-00629-6subject
Has Abstractpub_date
2019-07-01 00:00:00pages
2768-2782issue
7eissn
0092-8240issn
1522-9602pii
10.1007/s11538-019-00629-6journal_volume
81pub_type
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