Average Conditions for the Permanence of a Bounded Discrete Predator-Prey System
Average conditions are obtained for the permanence of a discrete bounded system with Holling type II functional response u(n+1)=u(n)exp{a(n)-b(n)u(n)-c(n)v(n)/(u(n)+m(n)v(n))}, v(n+1)=v(n)exp{-d(n)+e(n)u(n)/(u(n)+m(n)v(n))}. The method involves the application of estimates of uniform upper and lower...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/508686 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849400162039889920 |
|---|---|
| author | Yong-Hong Fan Lin-Lin Wang |
| author_facet | Yong-Hong Fan Lin-Lin Wang |
| author_sort | Yong-Hong Fan |
| collection | DOAJ |
| description | Average conditions are obtained for the permanence of a discrete bounded system with Holling type II functional response u(n+1)=u(n)exp{a(n)-b(n)u(n)-c(n)v(n)/(u(n)+m(n)v(n))},
v(n+1)=v(n)exp{-d(n)+e(n)u(n)/(u(n)+m(n)v(n))}. The method involves the application of estimates of uniform upper and lower bounds of solutions. When these results are applied to some special delay population models with multiple delays, some new results are obtained and some known results are generalized. |
| format | Article |
| id | doaj-art-a0a2c70f1f3944cc912bfbfaa6d2605f |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-a0a2c70f1f3944cc912bfbfaa6d2605f2025-08-20T03:38:09ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/508686508686Average Conditions for the Permanence of a Bounded Discrete Predator-Prey SystemYong-Hong Fan0Lin-Lin Wang1School of Mathematics and Statistics Science, Ludong University, Yantai, Shandong 264025, ChinaSchool of Mathematics and Statistics Science, Ludong University, Yantai, Shandong 264025, ChinaAverage conditions are obtained for the permanence of a discrete bounded system with Holling type II functional response u(n+1)=u(n)exp{a(n)-b(n)u(n)-c(n)v(n)/(u(n)+m(n)v(n))}, v(n+1)=v(n)exp{-d(n)+e(n)u(n)/(u(n)+m(n)v(n))}. The method involves the application of estimates of uniform upper and lower bounds of solutions. When these results are applied to some special delay population models with multiple delays, some new results are obtained and some known results are generalized.http://dx.doi.org/10.1155/2013/508686 |
| spellingShingle | Yong-Hong Fan Lin-Lin Wang Average Conditions for the Permanence of a Bounded Discrete Predator-Prey System Discrete Dynamics in Nature and Society |
| title | Average Conditions for the Permanence of a Bounded Discrete Predator-Prey System |
| title_full | Average Conditions for the Permanence of a Bounded Discrete Predator-Prey System |
| title_fullStr | Average Conditions for the Permanence of a Bounded Discrete Predator-Prey System |
| title_full_unstemmed | Average Conditions for the Permanence of a Bounded Discrete Predator-Prey System |
| title_short | Average Conditions for the Permanence of a Bounded Discrete Predator-Prey System |
| title_sort | average conditions for the permanence of a bounded discrete predator prey system |
| url | http://dx.doi.org/10.1155/2013/508686 |
| work_keys_str_mv | AT yonghongfan averageconditionsforthepermanenceofaboundeddiscretepredatorpreysystem AT linlinwang averageconditionsforthepermanenceofaboundeddiscretepredatorpreysystem |