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.
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The authors wish to express their sincere gratitude to Prof. James P. Grover and the second anonymous referee for their constructive suggestions and comments have improved the manuscript a great deal.
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Asik, L., Kulik, J., Long, K.R. et al. Seasonal Variation of Nutrient Loading in a Stoichiometric Producer–Consumer System. Bull Math Biol 81, 2768–2782 (2019). https://doi.org/10.1007/s11538-019-00629-6
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DOI: https://doi.org/10.1007/s11538-019-00629-6