Existence and Stability of Positive Periodic Solutions for a Neutral Multispecies Logarithmic Population Model with Feedback Control and Impulse
We investigate a neutral multispecies logarithmic population model with feedback control and impulse. By applying the contraction mapping principle and some inequality techniques, a set of easily applicable criteria for the existence, uniqueness, and global attractivity of positive periodic solution...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/741043 |
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| _version_ | 1832561043867435008 |
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| author | Zhenguo Luo Liping Luo |
| author_facet | Zhenguo Luo Liping Luo |
| author_sort | Zhenguo Luo |
| collection | DOAJ |
| description | We investigate a neutral multispecies logarithmic population model with feedback control and impulse. By applying the contraction mapping principle and some inequality techniques, a set of easily applicable criteria for the existence, uniqueness, and global attractivity of positive periodic solution are established. The conditions we obtained are weaker than the previously known ones and can be easily reduced to several special cases. We also give an example to illustrate the applicability of our results. |
| format | Article |
| id | doaj-art-d3e9cf39c18244dd899f845004930b17 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d3e9cf39c18244dd899f845004930b172025-02-03T01:26:05ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/741043741043Existence and Stability of Positive Periodic Solutions for a Neutral Multispecies Logarithmic Population Model with Feedback Control and ImpulseZhenguo Luo0Liping Luo1Department of Mathematics, National University of Defense Technology, Changsha 410073, ChinaDepartment of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, ChinaWe investigate a neutral multispecies logarithmic population model with feedback control and impulse. By applying the contraction mapping principle and some inequality techniques, a set of easily applicable criteria for the existence, uniqueness, and global attractivity of positive periodic solution are established. The conditions we obtained are weaker than the previously known ones and can be easily reduced to several special cases. We also give an example to illustrate the applicability of our results.http://dx.doi.org/10.1155/2013/741043 |
| spellingShingle | Zhenguo Luo Liping Luo Existence and Stability of Positive Periodic Solutions for a Neutral Multispecies Logarithmic Population Model with Feedback Control and Impulse Abstract and Applied Analysis |
| title | Existence and Stability of Positive Periodic Solutions for a Neutral Multispecies Logarithmic Population Model with Feedback Control and Impulse |
| title_full | Existence and Stability of Positive Periodic Solutions for a Neutral Multispecies Logarithmic Population Model with Feedback Control and Impulse |
| title_fullStr | Existence and Stability of Positive Periodic Solutions for a Neutral Multispecies Logarithmic Population Model with Feedback Control and Impulse |
| title_full_unstemmed | Existence and Stability of Positive Periodic Solutions for a Neutral Multispecies Logarithmic Population Model with Feedback Control and Impulse |
| title_short | Existence and Stability of Positive Periodic Solutions for a Neutral Multispecies Logarithmic Population Model with Feedback Control and Impulse |
| title_sort | existence and stability of positive periodic solutions for a neutral multispecies logarithmic population model with feedback control and impulse |
| url | http://dx.doi.org/10.1155/2013/741043 |
| work_keys_str_mv | AT zhenguoluo existenceandstabilityofpositiveperiodicsolutionsforaneutralmultispecieslogarithmicpopulationmodelwithfeedbackcontrolandimpulse AT lipingluo existenceandstabilityofpositiveperiodicsolutionsforaneutralmultispecieslogarithmicpopulationmodelwithfeedbackcontrolandimpulse |