Qualitative Analysis of a Pest Management Gompertz Model with Interval State Feedback Impulsive Control
Joint Authors
Sun, Kaibiao
Tian, Yuan
Zhang, Zhantao
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-09-07
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
An integrated pest management Gompertz model with interval impulsive control is put forward.
Through pest density monitoring, an integrated control strategy is adopted; that is when pest density reaches an environmental damage level, pesticide is used as a control method; when pest density is lower than the damage level, predators as its natural enemy are released in case pest density is higher than the slightly harmful level and predator density is below its maintainable level.
The analysis on the existence of order-1 or order-2 periodic orbit is carried out by the construction of Poincaré map of semicontinuous dynamical system.
The stability and attractiveness of the periodic state are obtained by geometry approach, which ensures a certain robustness of control.
The analytical results presented in the work are validated by numerical simulations for a specific model.
American Psychological Association (APA)
Tian, Yuan& Zhang, Zhantao& Sun, Kaibiao. 2016. Qualitative Analysis of a Pest Management Gompertz Model with Interval State Feedback Impulsive Control. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1103442
Modern Language Association (MLA)
Tian, Yuan…[et al.]. Qualitative Analysis of a Pest Management Gompertz Model with Interval State Feedback Impulsive Control. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1103442
American Medical Association (AMA)
Tian, Yuan& Zhang, Zhantao& Sun, Kaibiao. Qualitative Analysis of a Pest Management Gompertz Model with Interval State Feedback Impulsive Control. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1103442
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103442