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Titolo:
Qualitative properties of a niche-model
Autore:
Mainik, J; Ortlieb, CP;
Indirizzi:
Univ Hamburg, Ctr Modelling & Simulat, D-20146 Hamburg, Germany Univ Hamburg Hamburg Germany D-20146 & Simulat, D-20146 Hamburg, Germany
Titolo Testata:
MATHEMATICS AND COMPUTERS IN SIMULATION
fascicolo: 6, volume: 49, anno: 1999,
pagine: 353 - 374
SICI:
0378-4754(199910)49:6<353:QPOAN>2.0.ZU;2-H
Fonte:
ISI
Lingua:
ENG
Soggetto:
PREDATOR-PREY SYSTEM; CANNIBALISM; POPULATIONS; DYNAMICS; CYCLES;
Keywords:
niche-model; system ecology; marine populations; permanence; stability analysis;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Engineering, Computing & Technology
Citazioni:
27
Recensione:
Indirizzi per estratti:
Indirizzo: Mainik, J Univ Hamburg, Ctr Modelling & Simulat, Bundesstr 55, D-20146 Hamburg, Germany Univ Hamburg Bundesstr 55 Hamburg Germany D-20146 burg, Germany
Citazione:
J. Mainik e C.P. Ortlieb, "Qualitative properties of a niche-model", MATH COMP S, 49(6), 1999, pp. 353-374

Abstract

Within the framework of ecological systems analysis, the potential of niche formation plays an essential role, particularly in relation to the conditions of permanence or extinction of individual species. In this realm the model developed by Greve [Helgolander Meeresuntersuchungen 49, (1995) 811-820] in his study of possibilities of predicting marine populations represents an interesting approach. This model, which consists of a system of coupled differential equations applies an age differentiation with complex relations between the populations. The purpose of this paper is to perform a qualitative analysis of this model. The main questions are the conditions of extinction, boundedness and permanence as well as the conditions of the existence and uniqueness of stationary solutions. Our analysis provides both a notion of the model's behaviour and a mathematical evaluation of this model. The preliminary results are positive and encouraging. (C) 1999 IMACS/Elsevier Science B.V. All rights reserved.

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Documento generato il 06/07/20 alle ore 07:47:47