A stochastic predator–prey model for integrated pest management

This paper studies a stochastic predator–prey model for integrated pest management. It shows that the system has a positive solution that exists globally. The long time behavior of the system is investigated, and a condition for the pest to go extinct is given. Then the numerical simulations are car...

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Veröffentlicht in:	Advances in difference equations 2019-08, Vol.2019 (1), p.1-10, Article 360
Hauptverfasser:	Huang, Lidong, Chen, Xingshu, Tan, Xuewen, Chen, Xiaochou, Liu, Xinzhi
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Computer simulation Difference and Functional Equations Functional Analysis Impulsive effects Integrated pest management Mathematical models Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Pest extinction Predator-prey simulation Predator–prey model
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Beschreibung
Zusammenfassung:	This paper studies a stochastic predator–prey model for integrated pest management. It shows that the system has a positive solution that exists globally. The long time behavior of the system is investigated, and a condition for the pest to go extinct is given. Then the numerical simulations are carried out to illustrate our theoretical results and facilitate their interpretation.
ISSN:	1687-1847 1687-1839 1687-1847
DOI:	10.1186/s13662-019-2291-1