The boundedness character, persistent nature, and asymptotic conduct of non-negative outcomes of the system of three dimensional exponential form of difference equations were studied in this research:
$ \begin{eqnarray*} x_{n+1} & = &ax_{n}+by_{n-1}e^{-x_{n}}, \\ \text{ }y_{n+1} & = &cy_{n}+dz_{n-1}e^{-y_{n}},\ \\ z_{n+1} & = &ez_{n}+fx_{n-1}e^{-z_{n}}, \end{eqnarray*} $
where $ a, \ b, \ c $, $ d, \ e $ and $ f $ are non-negative real values, and the initial values $ x_{-1}, \ x_{0}, \ y_{-1}, \ y_{0}, \ z_{-1}, \ z_{0} $ are non-negative real values.
Citation: Abdul Khaliq, Haza Saleh Alayachi, Muhammad Zubair, Muhammad Rohail, Abdul Qadeer Khan. On stability analysis of a class of three-dimensional system of exponential difference equations[J]. AIMS Mathematics, 2023, 8(2): 5016-5035. doi: 10.3934/math.2023251
The boundedness character, persistent nature, and asymptotic conduct of non-negative outcomes of the system of three dimensional exponential form of difference equations were studied in this research:
$ \begin{eqnarray*} x_{n+1} & = &ax_{n}+by_{n-1}e^{-x_{n}}, \\ \text{ }y_{n+1} & = &cy_{n}+dz_{n-1}e^{-y_{n}},\ \\ z_{n+1} & = &ez_{n}+fx_{n-1}e^{-z_{n}}, \end{eqnarray*} $
where $ a, \ b, \ c $, $ d, \ e $ and $ f $ are non-negative real values, and the initial values $ x_{-1}, \ x_{0}, \ y_{-1}, \ y_{0}, \ z_{-1}, \ z_{0} $ are non-negative real values.
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Abdul Khaliq, Haza Saleh Alayachi, Muhammad Zubair, Muhammad Rohail, Abdul Qadeer Khan. On stability analysis of a class of three-dimensional system of exponential difference equations[J]. AIMS Mathematics, 2023, 8(2): 5016-5035. doi: 10.3934/math.2023251
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