Stoichiometric Plant-Herbivore Models and Their Interpretation
The purpose of this note is to mechanistically formulate amathematically tractable model that specifically deals with thedynamics of plant-herbivore interaction in a closedphosphorous (P) limiting environment. The key to our approach isthe employment of the plant cell P quota and the Droopequation f...
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| Format: | Article |
| Language: | English |
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AIMS Press
2004-06-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.215 |
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| author | Yang Kuang Jef Huisman James J. Elser |
| author_facet | Yang Kuang Jef Huisman James J. Elser |
| author_sort | Yang Kuang |
| collection | DOAJ |
| description | The purpose of this note is to mechanistically formulate amathematically tractable model that specifically deals with thedynamics of plant-herbivore interaction in a closedphosphorous (P) limiting environment. The key to our approach isthe employment of the plant cell P quota and the Droopequation for its growth. Our model takes the simple form of asystem of two autonomous ordinary differential equations. It canbe shown that our model includes the LKE model (Loladze, Kuang and Elser (2000)) as a special case. Our study reveals that the details of ecological stoichiometry models really matter for quantitativepredictions of plant-herbivore dynamics, especially atintermediate ranges of the carrying capacity. |
| format | Article |
| id | doaj-art-01d0f11204d64121b6ee63d6f0e5ae89 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2004-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-01d0f11204d64121b6ee63d6f0e5ae892025-01-24T01:46:53ZengAIMS PressMathematical Biosciences and Engineering1551-00182004-06-011221522210.3934/mbe.2004.1.215Stoichiometric Plant-Herbivore Models and Their InterpretationYang Kuang0Jef Huisman1James J. Elser2Department of Mathematics, Arizona State University, Tempe, AZ 85287-1804Aquatic Microbiology, Institute for Biodiversity and Ecosystem Dynamics, University of Amsterdam, Nieuwe Achtergracht 127, 1018 WS AmsterdamDepartment of Biology, Arizona State University, Tempe, AZ 85287-1501The purpose of this note is to mechanistically formulate amathematically tractable model that specifically deals with thedynamics of plant-herbivore interaction in a closedphosphorous (P) limiting environment. The key to our approach isthe employment of the plant cell P quota and the Droopequation for its growth. Our model takes the simple form of asystem of two autonomous ordinary differential equations. It canbe shown that our model includes the LKE model (Loladze, Kuang and Elser (2000)) as a special case. Our study reveals that the details of ecological stoichiometry models really matter for quantitativepredictions of plant-herbivore dynamics, especially atintermediate ranges of the carrying capacity.https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.215predator-prey modelstoichiometryphosphorus uptake.logistic equationdroop model |
| spellingShingle | Yang Kuang Jef Huisman James J. Elser Stoichiometric Plant-Herbivore Models and Their Interpretation Mathematical Biosciences and Engineering predator-prey model stoichiometry phosphorus uptake. logistic equation droop model |
| title | Stoichiometric Plant-Herbivore Models and Their Interpretation |
| title_full | Stoichiometric Plant-Herbivore Models and Their Interpretation |
| title_fullStr | Stoichiometric Plant-Herbivore Models and Their Interpretation |
| title_full_unstemmed | Stoichiometric Plant-Herbivore Models and Their Interpretation |
| title_short | Stoichiometric Plant-Herbivore Models and Their Interpretation |
| title_sort | stoichiometric plant herbivore models and their interpretation |
| topic | predator-prey model stoichiometry phosphorus uptake. logistic equation droop model |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.215 |
| work_keys_str_mv | AT yangkuang stoichiometricplantherbivoremodelsandtheirinterpretation AT jefhuisman stoichiometricplantherbivoremodelsandtheirinterpretation AT jamesjelser stoichiometricplantherbivoremodelsandtheirinterpretation |