title: Monitoring of trophic chains.
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.
authors.affiliation: Department of Mathematics, Faculty of Science, University of Mansoura, Egypt. shamandy16@hotmail.com
authors.forename: Ali
authors.initials: A
authors.lastname: Shamandy
mesh_terms: D000465:Algorithms; D000818:Animals; D003247:Conservation of Natural Resources; D004463:Ecology; D006801:Humans; D008954:Models, Biological; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D049490:Systems Biology