Almost Periodic Solutions of a Discrete Mutualism Model with Variable Delays
We discuss a discrete mutualism model with variable delays of the formsN1(n+1)=N1(n)exp{r1(n)[(K1(n)+α1(n)N2(n-μ2(n)))/1+N2(n-μ2(n)))-N1(n-ν1(n))]}, N2(n+1)=N2(n)exp{r2(n)[(K2(n)+α2(n)N1(n-μ1(n)))/(1+N1(n-μ1(n)))-N2(n-ν2(n))]}. By means of an almost periodic functional hull theory, sufficient condit...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/742102 |
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| author | Yongzhi Liao Tianwei Zhang |
| author_facet | Yongzhi Liao Tianwei Zhang |
| author_sort | Yongzhi Liao |
| collection | DOAJ |
| description | We discuss a discrete mutualism model with variable delays of the formsN1(n+1)=N1(n)exp{r1(n)[(K1(n)+α1(n)N2(n-μ2(n)))/1+N2(n-μ2(n)))-N1(n-ν1(n))]}, N2(n+1)=N2(n)exp{r2(n)[(K2(n)+α2(n)N1(n-μ1(n)))/(1+N1(n-μ1(n)))-N2(n-ν2(n))]}. By means of an almost periodic functional hull theory, sufficient conditions are established for the existence and uniqueness of globally attractive almost periodic solution to the previous system. Our results complement and extend some scientific work in recent years. Finally, some examples and numerical simulations are given to illustrate the effectiveness of our main results. |
| format | Article |
| id | doaj-art-f513b0e1fe6d47018996dcbc5f232dda |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-f513b0e1fe6d47018996dcbc5f232dda2025-02-03T06:13:22ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/742102742102Almost Periodic Solutions of a Discrete Mutualism Model with Variable DelaysYongzhi Liao0Tianwei Zhang1School of Mathematics and Computer Science, Panzhihua University Sichuan, Panzhihua 617000, ChinaCity College, Kunming University of Science and Technology, Kunming 650051, ChinaWe discuss a discrete mutualism model with variable delays of the formsN1(n+1)=N1(n)exp{r1(n)[(K1(n)+α1(n)N2(n-μ2(n)))/1+N2(n-μ2(n)))-N1(n-ν1(n))]}, N2(n+1)=N2(n)exp{r2(n)[(K2(n)+α2(n)N1(n-μ1(n)))/(1+N1(n-μ1(n)))-N2(n-ν2(n))]}. By means of an almost periodic functional hull theory, sufficient conditions are established for the existence and uniqueness of globally attractive almost periodic solution to the previous system. Our results complement and extend some scientific work in recent years. Finally, some examples and numerical simulations are given to illustrate the effectiveness of our main results.http://dx.doi.org/10.1155/2012/742102 |
| spellingShingle | Yongzhi Liao Tianwei Zhang Almost Periodic Solutions of a Discrete Mutualism Model with Variable Delays Discrete Dynamics in Nature and Society |
| title | Almost Periodic Solutions of a Discrete Mutualism Model with Variable Delays |
| title_full | Almost Periodic Solutions of a Discrete Mutualism Model with Variable Delays |
| title_fullStr | Almost Periodic Solutions of a Discrete Mutualism Model with Variable Delays |
| title_full_unstemmed | Almost Periodic Solutions of a Discrete Mutualism Model with Variable Delays |
| title_short | Almost Periodic Solutions of a Discrete Mutualism Model with Variable Delays |
| title_sort | almost periodic solutions of a discrete mutualism model with variable delays |
| url | http://dx.doi.org/10.1155/2012/742102 |
| work_keys_str_mv | AT yongzhiliao almostperiodicsolutionsofadiscretemutualismmodelwithvariabledelays AT tianweizhang almostperiodicsolutionsofadiscretemutualismmodelwithvariabledelays |