Dynamical modeling of the control of brown planthoppers by Beauveria bassiana and Cyrtorhinus lividipennis
Abstract In this work, the control of brown planthopper, a major pest of rice, when a biological control agent (Cyrtorhinus lividipennis) and a pathogen (Beauveria bassiana) are utilized is investigated mathematically. An impulsive mathematical model accounted for the population densities of suscept...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-06-01
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| Series: | Advances in Difference Equations |
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| Online Access: | http://link.springer.com/article/10.1186/s13662-019-2171-8 |
| _version_ | 1811286021879365632 |
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| author | Chontita Rattanakul |
| author_facet | Chontita Rattanakul |
| author_sort | Chontita Rattanakul |
| collection | DOAJ |
| description | Abstract In this work, the control of brown planthopper, a major pest of rice, when a biological control agent (Cyrtorhinus lividipennis) and a pathogen (Beauveria bassiana) are utilized is investigated mathematically. An impulsive mathematical model accounted for the population densities of susceptible brown planthoppers (brown planthoppers that are susceptible to Beauveria bassiana), infected brown planthoppers (brown planthoppers that are infected by Beauveria bassiana), and Cyrtorhinus lividipennis (a natural enemy of brown planthopper) is developed. We analyze the model in terms of its stability and permanence so that we obtain the conditions that differentiate dynamic behaviors exhibited by the model. To illustrate our theoretical results, computer simulations are also presented. |
| first_indexed | 2024-04-13T02:53:27Z |
| format | Article |
| id | doaj.art-b12cbefd8d3347e3a52ff985f660dc40 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-04-13T02:53:27Z |
| publishDate | 2019-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-b12cbefd8d3347e3a52ff985f660dc402022-12-22T03:05:46ZengSpringerOpenAdvances in Difference Equations1687-18472019-06-012019111310.1186/s13662-019-2171-8Dynamical modeling of the control of brown planthoppers by Beauveria bassiana and Cyrtorhinus lividipennisChontita Rattanakul0Center of Excellence in Mathematics, Commission on Higher EducationAbstract In this work, the control of brown planthopper, a major pest of rice, when a biological control agent (Cyrtorhinus lividipennis) and a pathogen (Beauveria bassiana) are utilized is investigated mathematically. An impulsive mathematical model accounted for the population densities of susceptible brown planthoppers (brown planthoppers that are susceptible to Beauveria bassiana), infected brown planthoppers (brown planthoppers that are infected by Beauveria bassiana), and Cyrtorhinus lividipennis (a natural enemy of brown planthopper) is developed. We analyze the model in terms of its stability and permanence so that we obtain the conditions that differentiate dynamic behaviors exhibited by the model. To illustrate our theoretical results, computer simulations are also presented.http://link.springer.com/article/10.1186/s13662-019-2171-8Mathematical modelBrown planthopperCyrtorhinus lividipennisBeauveria bassiana |
| spellingShingle | Chontita Rattanakul Dynamical modeling of the control of brown planthoppers by Beauveria bassiana and Cyrtorhinus lividipennis Advances in Difference Equations Mathematical model Brown planthopper Cyrtorhinus lividipennis Beauveria bassiana |
| title | Dynamical modeling of the control of brown planthoppers by Beauveria bassiana and Cyrtorhinus lividipennis |
| title_full | Dynamical modeling of the control of brown planthoppers by Beauveria bassiana and Cyrtorhinus lividipennis |
| title_fullStr | Dynamical modeling of the control of brown planthoppers by Beauveria bassiana and Cyrtorhinus lividipennis |
| title_full_unstemmed | Dynamical modeling of the control of brown planthoppers by Beauveria bassiana and Cyrtorhinus lividipennis |
| title_short | Dynamical modeling of the control of brown planthoppers by Beauveria bassiana and Cyrtorhinus lividipennis |
| title_sort | dynamical modeling of the control of brown planthoppers by beauveria bassiana and cyrtorhinus lividipennis |
| topic | Mathematical model Brown planthopper Cyrtorhinus lividipennis Beauveria bassiana |
| url | http://link.springer.com/article/10.1186/s13662-019-2171-8 |
| work_keys_str_mv | AT chontitarattanakul dynamicalmodelingofthecontrolofbrownplanthoppersbybeauveriabassianaandcyrtorhinuslividipennis |