On the stability of some systems of exponential difference equations

• Autorzy: Psarros N. , Papaschinopoulos G. , Schinas C.J.

Identyfikatory

DOI

10.7494/OpMath.2018.38.1.95

• Języki publikacji: EN

Abstrakty

EN

In this paper we prove the stability of the zero equilibria of two systems of difference equations of exponential type, which are some extensions of an one-dimensional biological model. The stability of these systems is investigated in the special case when one of the eigenvalues is equal to -1 and the other eigenvalue has absolute value less than 1, using centre manifold theory. In addition, we study the existence and uniqueness of positive equilibria, the attractivity and the global asymptotic stability of these equilibria of some related systems of difference equations.

Słowa kluczowe

EN

difference equations; asymptotic behaviour; global stability; centre manifold; biological dynamics

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2018
• Tom: Vol. 38, no. 1
• Strony: 95--115
• Opis fizyczny: Bibliogr. 34 poz.

Twórcy

autor

Psarros N.

• Democritus University ol Thrace School ol Engineering Xanthi, 67100, Greece

autor

Papaschinopoulos G.

• Democritus University ol Thrace School ol Engineering Xanthi, 67100, Greece

autor

Schinas C.J.

• Democritus University ol Thrace School ol Engineering Xanthi, 67100, Greece

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).