On the stability of some systems of exponential difference equations | Zendy

Νίκος Ψαρρός | Zendy; G. Papaschinopoulos | Zendy; C.J. Schinas | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On the stability of some systems of exponential difference equations

Author(s) -

Νίκος Ψαρρός,

G. Papaschinopoulos,

C.J. Schinas

Publication year - 2017

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2018.38.1.95

Subject(s) - mathematics , exponential stability , stability (learning theory) , exponential function , mathematical analysis , nonlinear system , physics , quantum mechanics , machine learning , computer science

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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research