Publication: Dynamical modeling of the control of brown planthoppers by Beauveria bassiana and Cyrtorhinus lividipennis
Issued Date
2019-12-01
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ISSN
16871847
16871839
16871839
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2-s2.0-85067365310
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Mahidol University
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SCOPUS
Bibliographic Citation
Advances in Difference Equations. Vol.2019, No.1 (2019)
Suggested Citation
Chontita Rattanakul Dynamical modeling of the control of brown planthoppers by Beauveria bassiana and Cyrtorhinus lividipennis. Advances in Difference Equations. Vol.2019, No.1 (2019). doi:10.1186/s13662-019-2171-8 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/51191
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Title
Dynamical modeling of the control of brown planthoppers by Beauveria bassiana and Cyrtorhinus lividipennis
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Abstract
© 2019, The Author(s). 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.