TY  - JOUR
ID  - Psarros2018
LB  - Psarros2018
AU  - Psarros, N.
AU  - Papaschinopoulos, G.
AU  - Schinas, C. J.
TI  - On the stability of some systems of exponential difference equations
ST  - On the stability of some systems of exponential difference equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2018
VL  - 38
IS  - 1
SP  - 95
EP  - 115
DO  - https://doi.org/10.7494/OpMath.2018.38.1.95
UR  - https://doi.org/10.7494/OpMath.2018.38.1.95
AB  - 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.
KW  - difference equations
KW  - asymptotic behaviour
KW  - global stability
KW  - centre manifold
KW  - biological dynamics
SN  - 1232-9274
ER  -