On the difference equation xn+1 = (αxn + βxn-1)e-xn

Xiaohua Ding; Rongyan Zhang

doi:10.1155/2008/876936

On the difference equation x_n+1 = (αx_n + βx_n-1)e^-xn

Xiaohua Ding^*
, Rongyan Zhang

^*Corresponding author for this work

Harbin Institute of Technology Weihai
Huanghe Science and Technology College

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We study a discrete delay Mosquito population equation. Firstly, we study the stability of the equilibria of the system and the existence of period-two bifurcation by analyzing the characteristic equation. Secondly, the direction and stability of the bifurcation are determined by using the normal form theory. Finally, some computer simulations are performed to illustrate the analytical results found.

Original language	English
Article number	876936
Journal	Advances in Difference Equations
Volume	2008
DOIs	https://doi.org/10.1155/2008/876936
State	Published - 2008
Externally published	Yes

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title = "On the difference equation xn+1 = (αxn + βxn-1)e-xn",

abstract = "We study a discrete delay Mosquito population equation. Firstly, we study the stability of the equilibria of the system and the existence of period-two bifurcation by analyzing the characteristic equation. Secondly, the direction and stability of the bifurcation are determined by using the normal form theory. Finally, some computer simulations are performed to illustrate the analytical results found.",

author = "Xiaohua Ding and Rongyan Zhang",

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AU - Ding, Xiaohua

AU - Zhang, Rongyan

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N2 - We study a discrete delay Mosquito population equation. Firstly, we study the stability of the equilibria of the system and the existence of period-two bifurcation by analyzing the characteristic equation. Secondly, the direction and stability of the bifurcation are determined by using the normal form theory. Finally, some computer simulations are performed to illustrate the analytical results found.

AB - We study a discrete delay Mosquito population equation. Firstly, we study the stability of the equilibria of the system and the existence of period-two bifurcation by analyzing the characteristic equation. Secondly, the direction and stability of the bifurcation are determined by using the normal form theory. Finally, some computer simulations are performed to illustrate the analytical results found.

UR - https://www.scopus.com/pages/publications/41949128711

U2 - 10.1155/2008/876936

DO - 10.1155/2008/876936

M3 - 文章

AN - SCOPUS:41949128711

SN - 1687-1839

VL - 2008

JO - Advances in Difference Equations

JF - Advances in Difference Equations

M1 - 876936

ER -

On the difference equation x_n+1 = (αx_n + βx_n-1)e^-xn

Abstract

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