Monitoring of trophic chains |
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Authors: | Shamandy Ali |
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Institution: | Department of Mathematics, Faculty of Science, University of Mansoura, Egypt. shamandy16@hotmail.com |
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Abstract: | In the paper simple trophic chains of the type resource-producer-primary consumer are considered. For an analysis of the dynamic state monitoring of this system, the concept of observability of mathematical systems theory is proposed. Using a linearization method of non-linear observation systems, biologically interpretable sufficient conditions are obtained to guarantee local observability. The latter means that based on the dynamic observation of a single component, the state of the whole system can be uniquely recovered, at least near a positive equilibrium. |
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