Dynamical Behavior of Some Recursive Exponential Difference Equations
DOI:
https://doi.org/10.5890/JAND.2026.09.003Abstract
In this paper, we study boundedness, persistence and rate of convergence of system of difference equations of exponential form $r_{n+1}=\frac{\lambda +e^{-(\mu r_{n}+\xi s_{n})}}{\delta +\mu r_{n}+\xi s_{n}}, \ s_{n+1}=\frac{\lambda +e^{-(\mu s_{n}+\xi t_{n})}}{\delta +\mu s_{n}+\xi t_{n}}, \ t_{n+1}=\frac{\lambda +e^{-(\mu t_{n}+\xi r_{n})}}{\delta +\mu t_{n}+\xi r_{n}},$ where $n=0, 1, 2,\cdots$ and $\lambda $, $\mu $, $\xi $ and $\delta $ are non-negative constants and the initial conditions $r_{0}$, $s_{0}$, $t_{0}$ are non-negative real values.References
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