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INTERNATIONAL JOURNAL OF MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES

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Abstract

Stability analysis in competition population model Nguyen Huu Khanh Abstract—We consider a competition model with two species for a limited resource in which the habitat is divided into two patches. By using aggregation methods, the reduced model has the form of classical Lotka-Volterra competition model. We represent the stability of equilibria of the model in various parameter spaces. It is found that the transcritical bifurcation takes an important role in explaining the dynamics of model. Numerical investigation shows that the long term behaviour of the complete model and the reduced model is very similar

Topics: equilibrium, species, patch, transcritical
Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.352.6086
Provided by: CiteSeerX
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