Two Generalized Predator-Prey Models for Integrated Pest Management with Stage Structure and Disease in the Prey Population
Stage-structured predator-prey models with disease in the prey are constructed. For the purpose of integrated pest management, two types of impulsive control strategies (impulsive release of infective prey and impulsive release of predator) are used. For Case 1, infective prey applications are more...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/424723 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558984173715456 |
|---|---|
| author | Ruiqing Shi Sanyi Tang Wenli Feng |
| author_facet | Ruiqing Shi Sanyi Tang Wenli Feng |
| author_sort | Ruiqing Shi |
| collection | DOAJ |
| description | Stage-structured predator-prey models with disease in the prey are constructed. For the purpose of integrated pest management, two types of impulsive control strategies (impulsive release of infective prey and impulsive release of predator) are used. For Case 1, infective prey applications are more frequent than releases of predator (natural enemies). For Case 2, predator (natural enemies) releases are more frequent than infective prey applications. In both cases, we get the sufficient conditions for the global attractivity of the susceptible prey-eradication periodic solution. In addition, the persistence of the systems is also discussed. At last, the results are discussed and some possible future work is put forward. |
| format | Article |
| id | doaj-art-1da1f7ee339d4d3ba3f65d64db274636 |
| 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-1da1f7ee339d4d3ba3f65d64db2746362025-02-03T01:31:09ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/424723424723Two Generalized Predator-Prey Models for Integrated Pest Management with Stage Structure and Disease in the Prey PopulationRuiqing Shi0Sanyi Tang1Wenli Feng2College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, Shaanxi 710062, ChinaCollege of Mathematics and Information Science, Shaanxi Normal University, Xi’an, Shaanxi 710062, ChinaSchool of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, ChinaStage-structured predator-prey models with disease in the prey are constructed. For the purpose of integrated pest management, two types of impulsive control strategies (impulsive release of infective prey and impulsive release of predator) are used. For Case 1, infective prey applications are more frequent than releases of predator (natural enemies). For Case 2, predator (natural enemies) releases are more frequent than infective prey applications. In both cases, we get the sufficient conditions for the global attractivity of the susceptible prey-eradication periodic solution. In addition, the persistence of the systems is also discussed. At last, the results are discussed and some possible future work is put forward.http://dx.doi.org/10.1155/2013/424723 |
| spellingShingle | Ruiqing Shi Sanyi Tang Wenli Feng Two Generalized Predator-Prey Models for Integrated Pest Management with Stage Structure and Disease in the Prey Population Abstract and Applied Analysis |
| title | Two Generalized Predator-Prey Models for Integrated Pest Management with Stage Structure and Disease in the Prey Population |
| title_full | Two Generalized Predator-Prey Models for Integrated Pest Management with Stage Structure and Disease in the Prey Population |
| title_fullStr | Two Generalized Predator-Prey Models for Integrated Pest Management with Stage Structure and Disease in the Prey Population |
| title_full_unstemmed | Two Generalized Predator-Prey Models for Integrated Pest Management with Stage Structure and Disease in the Prey Population |
| title_short | Two Generalized Predator-Prey Models for Integrated Pest Management with Stage Structure and Disease in the Prey Population |
| title_sort | two generalized predator prey models for integrated pest management with stage structure and disease in the prey population |
| url | http://dx.doi.org/10.1155/2013/424723 |
| work_keys_str_mv | AT ruiqingshi twogeneralizedpredatorpreymodelsforintegratedpestmanagementwithstagestructureanddiseaseinthepreypopulation AT sanyitang twogeneralizedpredatorpreymodelsforintegratedpestmanagementwithstagestructureanddiseaseinthepreypopulation AT wenlifeng twogeneralizedpredatorpreymodelsforintegratedpestmanagementwithstagestructureanddiseaseinthepreypopulation |