![](/images/graphics-bg.png)
Threshold Strategy for Nonsmooth Filippov Stage-Structured Pest Growth Models
Joint Authors
Liu, Bing
Kang, Baolin
Qu, Leilei
Tao, Fengmei
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-21
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
In order to control pests and eventually maintain the number of pests below the economic threshold, in this paper, based on the nonsmooth dynamical system, a two-stage-structured pest control Filippov model is proposed.
We take the total number of juvenile and adult pest population as the control index to determine whether or not to implement chemical control strategies.
The sliding-mode domain and conditions for the existence of regular and virtual equilibria, pseudoequilibrium, boundary equilibria, and tangent points are given.
Further, the sufficient condition of the locally asymptotic stability of pseudoequilibrium is obtained.
By numerical simulations, the local bifurcations of the equilibria are discussed.
Our results show that the total number of pest populations can be successfully controlled below the economic threshold by taking suitable threshold policy.
American Psychological Association (APA)
Tao, Fengmei& Kang, Baolin& Liu, Bing& Qu, Leilei. 2019. Threshold Strategy for Nonsmooth Filippov Stage-Structured Pest Growth Models. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1200821
Modern Language Association (MLA)
Tao, Fengmei…[et al.]. Threshold Strategy for Nonsmooth Filippov Stage-Structured Pest Growth Models. Mathematical Problems in Engineering No. 2019 (2019), pp.1-7.
https://search.emarefa.net/detail/BIM-1200821
American Medical Association (AMA)
Tao, Fengmei& Kang, Baolin& Liu, Bing& Qu, Leilei. Threshold Strategy for Nonsmooth Filippov Stage-Structured Pest Growth Models. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1200821
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1200821