Monitoring of trophic chains

Shamandy, A.

doi:10.1016/j.biosystems.2005.02.005

Cited by 15 publications

(14 citation statements)

References 4 publications

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“…For system (2.1)-(2.3) the observability (see Appendix) of it, when we observe separately each one of its variables, was proved in Shamandy (2005). Now, following the Theorem of Sundarapandian (2002) (see Appendix), we shall construct, in an explicit way, the local exponential observer for the three cases considered by…”

Section: Construction Of An Observer System For a Trophic Chainmentioning

confidence: 98%

“…In the following, the model setup is shortly recalled from Shamandy (2005), see also Svirezhev and Logofet (1983), Jorgensen and Svirezhev (2004). For further details on trophic chains (and genaral food webs) see e.g.…”

Section: Description Of the Dynamic Modelmentioning

confidence: 99%

“…In Shamandy (2005), a necessary and sufficient condition were found for the existence of a non-trivial ecological equilibrium  x of dynamic system (2.1)-(2.3), where all components are present: system (2.1)-(2.3) has a unique equilibrium…”

Section: Description Of the Dynamic Modelmentioning

confidence: 99%

“…Until now in Shamandy (2005), only observability results have been obtained for systems of type resource -producer -primary consumer. In Section 2, from Shamandy (2005), the model setup and basic conditions for the existence of an equilibrium of the system are shortly recalled. Section 3 is the main body of the paper.…”

Section: Introductionmentioning

confidence: 99%

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Observer design for open and closed trophic chains

Varga

Gámez

López

2010

Nonlinear Analysis: Real World Applications

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Abstract:Monitoring of ecological systems is one of the major issues in ecosystem research. The concepts and methodology of mathematical systems theory provide useful tools to face this problem. In many cases, state monitoring of a complex ecological system consists in observation (measurement) of certain state variables, and the whole state process has to be determined from the observed data. The solution proposed in the paper is the design of an observer system, which makes it possible to approximately recover the state process from its partial observation. Such systems-theoretical approach has been applied before by the authors to Lotka-Volterra type population systems. In the present paper this methodology is extended to a non Lotka-Volterra type trophic chain of resource -producer -primary consumer type and numerical examples for different observation situations are also presented.

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Section: Construction Of An Observer System For a Trophic Chainmentioning

confidence: 98%

Section: Description Of the Dynamic Modelmentioning

confidence: 99%

Section: Description Of the Dynamic Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Observer design for open and closed trophic chains

Varga

Gámez

López

2010

Nonlinear Analysis: Real World Applications

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show abstract

“…Svirezhev and Logofet (1983), Yodzis (1989). Stability and observability results 26 for such systems have been obtained in Shamandy (2005). We note that the monitoring 27 of a somewhat different, four-level ecological interaction chain of type resource - 28 producer -primary user -secondary consumer has been studied, applying the 29 mathematical results on verticum type systems, published in Molnár (1987), (1988a-e), 30 (1989), (1993), Molnár and Szigeti (1994).…”

mentioning

confidence: 99%