On the Difference Equation xn+1=(αxn+βxn−1)e−xn
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 fo...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2008-02-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2008/876936 |
| _version_ | 1818264836788715520 |
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| author | Xiaohua Ding Rongyan Zhang |
| author_facet | Xiaohua Ding Rongyan Zhang |
| author_sort | Xiaohua Ding |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-12T19:41:15Z |
| format | Article |
| id | doaj.art-efe78be080df4ceeb1aaca242215b19b |
| institution | Directory Open Access Journal |
| issn | 1687-1839 |
| language | English |
| last_indexed | 2024-12-12T19:41:15Z |
| publishDate | 2008-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-efe78be080df4ceeb1aaca242215b19b2022-12-22T00:14:12ZengSpringerOpenAdvances in Difference Equations1687-18392008-02-01200810.1155/2008/876936On the Difference Equation xn+1=(αxn+βxn−1)e−xnXiaohua DingRongyan ZhangWe 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.http://dx.doi.org/10.1155/2008/876936 |
| spellingShingle | Xiaohua Ding Rongyan Zhang On the Difference Equation xn+1=(αxn+βxn−1)e−xn Advances in Difference Equations |
| title | On the Difference Equation xn+1=(αxn+βxn−1)e−xn |
| title_full | On the Difference Equation xn+1=(αxn+βxn−1)e−xn |
| title_fullStr | On the Difference Equation xn+1=(αxn+βxn−1)e−xn |
| title_full_unstemmed | On the Difference Equation xn+1=(αxn+βxn−1)e−xn |
| title_short | On the Difference Equation xn+1=(αxn+βxn−1)e−xn |
| title_sort | on the difference equation xn 1 aza xn aza²xna¢a a 1 ea¢a a xn |
| url | http://dx.doi.org/10.1155/2008/876936 |
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