Global Dynamics of Some Exponential Type Systems

Global Dynamics of Some Exponential Type Systems

We explore the boundedness and persistence, existence of an invariant rectangle, local dynamical properties about the unique positive fixed point, global dynamics by the discrete-time Lyapunov function, and the rate of convergence of some 2,3-type exponential systems of difference equations. Finally...

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Veröffentlicht in:Discrete dynamics in nature and society 2020, Vol.2020 (2020), p.1-24
Hauptverfasser: Khaliq, A., Ibrahim, Tarek F., Osman, KH. I., Younis, B. A., Arshad, H. M., Khan, A. Q., Ahmed, I.
Format: Artikel
Sprache:eng
Schlagworte:
Difference equations
Equilibrium
Fixed points (mathematics)
Liapunov functions
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Beschreibung
Zusammenfassung:We explore the boundedness and persistence, existence of an invariant rectangle, local dynamical properties about the unique positive fixed point, global dynamics by the discrete-time Lyapunov function, and the rate of convergence of some 2,3-type exponential systems of difference equations. Finally, theoretical results are numerically verified.
ISSN:1026-0226
1607-887X
DOI:10.1155/2020/1515730