Global Stability and Oscillation of a Discrete Annual Plants Model
The objective of this paper is to systematically study the stability and oscillation of the discrete delay annual plants model. In particular, we establish some sufficient conditions for global stability of the unique positive fixed point and establish an explicit sufficient condition for oscillatio...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/156725 |
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| _version_ | 1832554339691921408 |
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| author | S. H. Saker |
| author_facet | S. H. Saker |
| author_sort | S. H. Saker |
| collection | DOAJ |
| description | The objective of this paper is to systematically study the stability and
oscillation of the discrete delay annual plants model. In particular, we establish
some sufficient conditions for global stability of the unique positive fixed point and
establish an explicit sufficient condition for oscillation of the positive solutions about
the fixed point. Some illustrative examples and numerical simulations are included
to demonstrate the validity and applicability of the results. |
| format | Article |
| id | doaj-art-107cdd75144344a1b21b0d07bae139aa |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-107cdd75144344a1b21b0d07bae139aa2025-02-03T05:51:41ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/156725156725Global Stability and Oscillation of a Discrete Annual Plants ModelS. H. Saker0Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi ArabiaThe objective of this paper is to systematically study the stability and oscillation of the discrete delay annual plants model. In particular, we establish some sufficient conditions for global stability of the unique positive fixed point and establish an explicit sufficient condition for oscillation of the positive solutions about the fixed point. Some illustrative examples and numerical simulations are included to demonstrate the validity and applicability of the results.http://dx.doi.org/10.1155/2010/156725 |
| spellingShingle | S. H. Saker Global Stability and Oscillation of a Discrete Annual Plants Model Abstract and Applied Analysis |
| title | Global Stability and Oscillation of a Discrete Annual Plants Model |
| title_full | Global Stability and Oscillation of a Discrete Annual Plants Model |
| title_fullStr | Global Stability and Oscillation of a Discrete Annual Plants Model |
| title_full_unstemmed | Global Stability and Oscillation of a Discrete Annual Plants Model |
| title_short | Global Stability and Oscillation of a Discrete Annual Plants Model |
| title_sort | global stability and oscillation of a discrete annual plants model |
| url | http://dx.doi.org/10.1155/2010/156725 |
| work_keys_str_mv | AT shsaker globalstabilityandoscillationofadiscreteannualplantsmodel |