Stoichiometric Plant-Herbivore Models and Their Interpretation
-
1.
Department of Mathematics, Arizona State University, Tempe, AZ 85287-1804
-
2.
Aquatic Microbiology, Institute for Biodiversity and Ecosystem Dynamics, University of Amsterdam, Nieuwe Achtergracht 127, 1018 WS Amsterdam
-
3.
Department of Biology, Arizona State University, Tempe, AZ 85287-1501
-
Received:
01 May 2004
Accepted:
29 June 2018
Published:
01 July 2004
-
-
MSC :
92D25 and 34C60.
-
-
The purpose of this note is to mechanistically formulate a
mathematically tractable model that specifically deals with the
dynamics of plant-herbivore interaction in a closed
phosphorous (P) limiting environment. The key to our approach is
the employment of the plant cell P quota and the Droop
equation for its growth. Our model takes the simple form of a
system of two autonomous ordinary differential equations. It can
be 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 quantitative
predictions of plant-herbivore dynamics, especially at
intermediate ranges of the carrying capacity.
Citation: Yang Kuang, Jef Huisman, James J. Elser. Stoichiometric Plant-Herbivore Models and Their Interpretation[J]. Mathematical Biosciences and Engineering, 2004, 1(2): 215-222. doi: 10.3934/mbe.2004.1.215
-
Abstract
The purpose of this note is to mechanistically formulate a
mathematically tractable model that specifically deals with the
dynamics of plant-herbivore interaction in a closed
phosphorous (P) limiting environment. The key to our approach is
the employment of the plant cell P quota and the Droop
equation for its growth. Our model takes the simple form of a
system of two autonomous ordinary differential equations. It can
be 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 quantitative
predictions of plant-herbivore dynamics, especially at
intermediate ranges of the carrying capacity.
-
-
-
-