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UNDERSTANDING MULTIPLE SPECIES ECOSYSTEM DYNAMICS USING A CONSUMER RESOURCE MODEL
Authors:OBIORA C COLLINS  KEVIN J DUFFY
Institution:Institute of Systems Science, Durban University of Technology, Durban, South Africa
Abstract:Most ecological systems comprise multiple species coexisting and the dynamics of these multiple species can be important for understanding, management, and conservation. One method to study such ecological system dynamics is the use of heterogeneous models. Here we formulate and analyze a multiple species (n patches or groups) consumer resource model. Initial insights are gained by analyzing the special cases urn:x-wiley:08908575:media:nrm12086:nrm12086-math-0001 and urn:x-wiley:08908575:media:nrm12086:nrm12086-math-0002. A threshold consumption number C0 is used to investigate system stability and hence the long‐term dynamics of the system. It is shown how this threshold consumption number can measure the effects and extent of multiple species coexistence in the system.
Keywords:Differential equations  multiple species coexistence  stability analysis  heterogeneity
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