Asymptotic behavior of a competitive system of linear fractional difference equations.

Kulenović, M.R.S.; Nurkanović, M.

Displaying similar documents to “Asymptotic behavior of a competitive system of linear fractional difference equations.”

Asymptotic behavior of a system of linear fractional difference equations.

Kulenović, M.R.S., Nurkanović, M. (2005)

Journal of Inequalities and Applications [electronic only]

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Global behavior of four competitive rational systems of difference equations in the plane.

Garić-Demirović, M., Kulenović, M.R.S., Nurkanović, M. (2009)

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On the global asymptotic stability of a second-order system of difference equations.

Yalcinkaya, Ibrahim (2008)

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On the system of rational difference equations $x_{n + 1} = f (y_{n - q}, x_{n - s})$ , $y_{n + 1} = g (x_{n - t}, y_{n - p})$ .

Sun, Taixiang, Xi, Hongjian (2006)

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On the system of rational difference equations $x_{n + 1} = f (x_{n}, y_{n - k})$ , $y_{n + 1} = f (y_{n}, x_{n - k})$ .

Sun, Taixiang, Xi, Hongjian, Hong, Liang (2006)

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On a discrete epidemic model.

Stević, Stevo (2007)

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On the behavior of solutions of the system of rational difference equations: $x_{n + 1} = x_{n - 1} / (y_{n} x_{n - 1} - 1)$ , $y_{n + 1} = y_{n - 1} / (x_{n} y_{n - 1} - 1)$ , and $z_{n + 1} = z_{n - 1} / (y_{n} z_{n - 1} - 1)$ .

Kurbanli, Abdullah Selçuk (2011)

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On global attractivity of a class of nonautonomous difference equations.

Liu, Wanping, Yang, Xiaofan, Cao, Jianqiu (2010)

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Some boundedness results for systems of two rational difference equations

Gabriel Lugo, Frank Palladino (2010)

Open Mathematics

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We study k th order systems of two rational difference equations $x_{n} = \frac{α + \sum_{i = 1}^{k} β_{i} x_{n - 1} + \sum_{i = 1}^{k} γ_{i} y_{n - 1}}{A + \sum_{j = 1}^{k} B_{j} x_{n - j} + \sum_{j = 1}^{k} C_{j} y_{n - j}}, y_{n} = \frac{p + \sum_{i = 1}^{k} δ_{i} x_{n - i} + \sum_{i = 1}^{k} ε_{i} y_{n - i}}{q + \sum_{j = 1}^{k} D_{j} x_{n - j} + \sum_{j = 1}^{k} E_{j} y_{n - j}} n \in ℕ$ . In particular, we assume non-negative parameters and non-negative initial conditions, such that the denominators are nonzero. We develop several approaches which allow us to extend well known boundedness results on the k th order rational difference equation to the setting of systems in certain cases.

Asymptotics of some classes of higher-order difference equations.

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Global behavior of a higher-order difference equation.

Li, Tuo, Jia, Xiu-Mei (2010)

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Rate of convergence of solutions of rational difference equation of second order.

Kalabušić, S., Kulenović, M.R.S. (2004)

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Global asymptotic behavior of $y_{n + 1} = (p y_{n} + y_{n - 1}) / (r + q y_{n} + y_{n - 1})$ .

Brett, A., Kulenović, M.R.S. (2007)

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