Permanence for the Discrete Competition Model with Infinite Deviating Arguments
Sufficient conditions are obtained for the permanence of the following discrete model of competition: x1k+1=x1(k)exp {r1kK1k+α1k∑s=0+∞J2sx2k-s/1+∑s=0+∞J2sx2k-s-x1k-δ1k}; x2(k+1)=x2(k)exp {r2kK2k+α2k∑s=0+∞J1sx1k-s/1+∑s=0+∞J1sx1k-s-x2k-δ2k}, where ri,Ki,αi, Ji, and δi, i=1,2, are nonnegative sequences...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/1686973 |
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| author | Baoguo Chen |
| author_facet | Baoguo Chen |
| author_sort | Baoguo Chen |
| collection | DOAJ |
| description | Sufficient conditions are obtained for the permanence of the following discrete model of competition: x1k+1=x1(k)exp {r1kK1k+α1k∑s=0+∞J2sx2k-s/1+∑s=0+∞J2sx2k-s-x1k-δ1k}; x2(k+1)=x2(k)exp {r2kK2k+α2k∑s=0+∞J1sx1k-s/1+∑s=0+∞J1sx1k-s-x2k-δ2k}, where ri,Ki,αi, Ji, and δi, i=1,2, are nonnegative sequences bounded above and below by positive constants, and Ki>αi, i=1,2. |
| format | Article |
| id | doaj-art-0cb5426deb254a8ca37f8ad4f7956b4b |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-0cb5426deb254a8ca37f8ad4f7956b4b2025-02-03T06:08:14ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/16869731686973Permanence for the Discrete Competition Model with Infinite Deviating ArgumentsBaoguo Chen0Research Center for Science Technology and Society, Fuzhou University of International Studies and Trade, Fuzhou, Fujian 350202, ChinaSufficient conditions are obtained for the permanence of the following discrete model of competition: x1k+1=x1(k)exp {r1kK1k+α1k∑s=0+∞J2sx2k-s/1+∑s=0+∞J2sx2k-s-x1k-δ1k}; x2(k+1)=x2(k)exp {r2kK2k+α2k∑s=0+∞J1sx1k-s/1+∑s=0+∞J1sx1k-s-x2k-δ2k}, where ri,Ki,αi, Ji, and δi, i=1,2, are nonnegative sequences bounded above and below by positive constants, and Ki>αi, i=1,2.http://dx.doi.org/10.1155/2016/1686973 |
| spellingShingle | Baoguo Chen Permanence for the Discrete Competition Model with Infinite Deviating Arguments Discrete Dynamics in Nature and Society |
| title | Permanence for the Discrete Competition Model with Infinite Deviating Arguments |
| title_full | Permanence for the Discrete Competition Model with Infinite Deviating Arguments |
| title_fullStr | Permanence for the Discrete Competition Model with Infinite Deviating Arguments |
| title_full_unstemmed | Permanence for the Discrete Competition Model with Infinite Deviating Arguments |
| title_short | Permanence for the Discrete Competition Model with Infinite Deviating Arguments |
| title_sort | permanence for the discrete competition model with infinite deviating arguments |
| url | http://dx.doi.org/10.1155/2016/1686973 |
| work_keys_str_mv | AT baoguochen permanenceforthediscretecompetitionmodelwithinfinitedeviatingarguments |