On the dynamics of positive solutions for the difference equation in a new population model

Volume 9, Issue 4, pp 1748--1754 http://dx.doi.org/10.22436/jnsa.009.04.30

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Authors

Wenjie Wang - Department of Mathematics, Lanzhou Jiaotong University, Lanzhou Gansu 730070, China. Hui Feng - Department of Mathematics, Northwest Normal University, Lanzhou Gansu 730070, China.

Abstract

In this paper we study the boundedness and the asymptotic behavior of positive solutions for the difference equation \[x_{n+1} = a + bx_ne^{-x_{n-1}}\] ; where \(a; b\) are positive constants, and the initial values \(x_{-1}; x_0\) are nonnegative numbers.

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Keywords

• Difference equations
• boundedness
• asymptotic behavior.

MSC

•  34D05
•  39A11

References

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