Dynamical Analysis of a Pest Management Model with Saturated Growth Rate and State Dependent Impulsive Effects
A new pest management mathematical model with saturated growth is proposed. The integrated pest management (IPM) strategy by introducing two state dependent pulses into the model is considered. Firstly, we analyze singular points of the model qualitatively and get the condition for focus point. Seco...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/204642 |
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| _version_ | 1832566633858596864 |
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| author | Wencai Zhao Tongqian Zhang Xinzhu Meng Yang Yang |
| author_facet | Wencai Zhao Tongqian Zhang Xinzhu Meng Yang Yang |
| author_sort | Wencai Zhao |
| collection | DOAJ |
| description | A new pest management mathematical model with saturated growth is proposed. The integrated pest management (IPM) strategy by introducing two state dependent pulses into the model is considered. Firstly, we analyze singular points of the model qualitatively and get the condition for focus point. Secondly, by using geometry theory of impulsive differential equation, the existence and stability of periodic solution of the system are discussed. Lastly, some examples and numerical simulations are given to illustrate our results. |
| format | Article |
| id | doaj-art-b117f5640be644faa83ec2ab71baf206 |
| 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-b117f5640be644faa83ec2ab71baf2062025-02-03T01:03:42ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/204642204642Dynamical Analysis of a Pest Management Model with Saturated Growth Rate and State Dependent Impulsive EffectsWencai Zhao0Tongqian Zhang1Xinzhu Meng2Yang Yang3College of Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaA new pest management mathematical model with saturated growth is proposed. The integrated pest management (IPM) strategy by introducing two state dependent pulses into the model is considered. Firstly, we analyze singular points of the model qualitatively and get the condition for focus point. Secondly, by using geometry theory of impulsive differential equation, the existence and stability of periodic solution of the system are discussed. Lastly, some examples and numerical simulations are given to illustrate our results.http://dx.doi.org/10.1155/2013/204642 |
| spellingShingle | Wencai Zhao Tongqian Zhang Xinzhu Meng Yang Yang Dynamical Analysis of a Pest Management Model with Saturated Growth Rate and State Dependent Impulsive Effects Abstract and Applied Analysis |
| title | Dynamical Analysis of a Pest Management Model with Saturated Growth Rate and State Dependent Impulsive Effects |
| title_full | Dynamical Analysis of a Pest Management Model with Saturated Growth Rate and State Dependent Impulsive Effects |
| title_fullStr | Dynamical Analysis of a Pest Management Model with Saturated Growth Rate and State Dependent Impulsive Effects |
| title_full_unstemmed | Dynamical Analysis of a Pest Management Model with Saturated Growth Rate and State Dependent Impulsive Effects |
| title_short | Dynamical Analysis of a Pest Management Model with Saturated Growth Rate and State Dependent Impulsive Effects |
| title_sort | dynamical analysis of a pest management model with saturated growth rate and state dependent impulsive effects |
| url | http://dx.doi.org/10.1155/2013/204642 |
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