Dynamical modeling of the control of brown planthoppers by Beauveria bassiana and Cyrtorhinus lividipennis

Autor:	Chontita Rattanakul
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Mathematical model Brown planthopper Cyrtorhinus lividipennis Beauveria bassiana Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-13 (2019)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-019-2171-8
Popis:	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.
Databáze:	Directory of Open Access Journals
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