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Dynamics of an Ecological Stoichiometric Regrowth-Herbivore Model

Author: TangLiYan
Tutor: FanMeng
School: Northeast Normal University
Course: Applied Mathematics
Keywords: Ecological Stoichiometry Regrowth Model Global Stability Local Stability
CLC: O175
Type: Master's thesis
Year: 2011
Downloads: 35
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Abstract


In this paper, we will discuss the dynamics of interaction between sedges and herbivore after herbivore eating sedges by ecological stoichiometry. The system reveals more complex dynamic behaviors in stoichiometrically realistic terms. Considering the growth of sedges, we use regrowth model to depict the regrowth of sedges in this paper. For the system with Holling I type functional reaction, we get the global properties of boundary equilibria and internal equilibria. For the system with Holling II type functional reaction, we get the local proper-ties of boundary equilibria and internal equilibria. We also carry numerical simulations for some specific models, which strongly support our theoretical studies. Compared with Logis-tic model, regrowth-herbivore model gives a more reasonable explanation for the interaction between sedges and herbivore after herbivore eating sedges.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations
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