Permanence and Global Attractivity of a Discrete Logistic Model with Impulses
By piecewise Euler method, we construct a discrete logistic equation with impulses. The constructed model is more easily implemented at computer and is a better analogue of the continuous-time dynamic system. The dynamic behaviors of the constructed model are investigated. Sufficient conditions whic...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/710931 |
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| _version_ | 1832548904556560384 |
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| author | Chunyu Gao Qingxi Guo |
| author_facet | Chunyu Gao Qingxi Guo |
| author_sort | Chunyu Gao |
| collection | DOAJ |
| description | By piecewise Euler method, we construct a discrete logistic equation with impulses. The constructed model is more easily implemented at computer and is a better analogue of the continuous-time dynamic system. The dynamic behaviors of the constructed model are investigated. Sufficient conditions which guarantee the permanence and the global attractivity of positive solutions of the model are obtained. Numerical simulations show the feasibility of the main results. |
| format | Article |
| id | doaj-art-911f4a6c41924b29bbec96387c3f7d22 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-911f4a6c41924b29bbec96387c3f7d222025-02-03T06:12:40ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/710931710931Permanence and Global Attractivity of a Discrete Logistic Model with ImpulsesChunyu Gao0Qingxi Guo1Center for Ecological Research, Northeast Forestry University, Harbin 150040, ChinaCenter for Ecological Research, Northeast Forestry University, Harbin 150040, ChinaBy piecewise Euler method, we construct a discrete logistic equation with impulses. The constructed model is more easily implemented at computer and is a better analogue of the continuous-time dynamic system. The dynamic behaviors of the constructed model are investigated. Sufficient conditions which guarantee the permanence and the global attractivity of positive solutions of the model are obtained. Numerical simulations show the feasibility of the main results.http://dx.doi.org/10.1155/2013/710931 |
| spellingShingle | Chunyu Gao Qingxi Guo Permanence and Global Attractivity of a Discrete Logistic Model with Impulses Journal of Applied Mathematics |
| title | Permanence and Global Attractivity of a Discrete Logistic Model with Impulses |
| title_full | Permanence and Global Attractivity of a Discrete Logistic Model with Impulses |
| title_fullStr | Permanence and Global Attractivity of a Discrete Logistic Model with Impulses |
| title_full_unstemmed | Permanence and Global Attractivity of a Discrete Logistic Model with Impulses |
| title_short | Permanence and Global Attractivity of a Discrete Logistic Model with Impulses |
| title_sort | permanence and global attractivity of a discrete logistic model with impulses |
| url | http://dx.doi.org/10.1155/2013/710931 |
| work_keys_str_mv | AT chunyugao permanenceandglobalattractivityofadiscretelogisticmodelwithimpulses AT qingxiguo permanenceandglobalattractivityofadiscretelogisticmodelwithimpulses |