Behavior of an exponential system of difference equations

DOI10.1155/2014/607281zbMath1419.39027OpenAlexW2057102812WikidataQ59039427 ScholiaQ59039427MaRDI QIDQ2321452

Yanyan Li

Publication date: 23 August 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/607281

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30)

Related Items (7)

Dynamics of a modified Nicholson-Bailey host-parasitoid model ⋮ Investigation of the global dynamics of two exponential-form difference equations systems ⋮ Behavior of solutions of a discrete population model with mutualistic interaction ⋮ Global dynamics of two systems of exponential difference equations by Lyapunov function ⋮ Unnamed Item ⋮ Global dynamics of higher-order exponential systems of difference equations ⋮ Global dynamics of some exponential type systems

Cites Work

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• On the dynamics of two exponential type systems of difference equations
• On the system of two difference equations of exponential form: \(x_{n+1}=a+bx_{n-1}e^{-y_n}\), \(y_{n+1}=c+dy_{n-1}e^{-x_n}\).
• Study of the asymptotic behavior of the solutions of three systems of difference equations of exponential form
• On the difference equation \(y_{n+1} = \frac {\alpha +\beta e^{-y_n}}{\gamma +y_{n-1}}\)
• Stable periodic solutions in a discrete periodic logistic equation
• On the difference equation \(x_{n+1}=\alpha+\beta x_{n-1}e^{-x_n}\).
• A note on the existence of periodic solutions in discrete predator-prey models
• More on Poincaré’s and Perron’s Theorems for Difference Equations∗

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