Dynamics of a Lake Ecosystem

A. Ardito, S. De Gregorio, L. Lamberti and P. Ricciardi
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A. Ardito: Università degli Studi di Roma “La Sapienza”, Dipartimento di Matematica
S. De Gregorio: Università degli Studi di Roma “La Sapienza”, Dipartimento di Matematica
L. Lamberti: Università degli Studi di Roma “La Sapienza”, Dipartimento di Matematica
P. Ricciardi: Università degli Studi di Roma “La Sapienza”, Dipartimento di Matematica

A chapter in Biomathematics and Related Computational Problems, 1988, pp 111-119 from Springer

Abstract: Abstract We study the dynamical behaviour of a lake ecosystem considering a three components model consisting of animals, food and pollution. We examine the role of pollution in two different schemes considering the conditions leading to ecological disaster. In standard situations the system reduces to a two component animal-food system. Stationary and periodic solutions of this system are globally actracting.

Keywords: Periodic Solution; Stationary Solution; Lyapunov Function; Linear Stability Analysis; Positive Cone (search for similar items in EconPapers)
Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-2975-3_11

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DOI: 10.1007/978-94-009-2975-3_11

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