Back to Search
Start Over
Threshold Strategy for Nonsmooth Filippov Stage-Structured Pest Growth Models
- Source :
- Mathematical Problems in Engineering, Vol 2019 (2019)
- Publication Year :
- 2019
- Publisher :
- Hindawi Limited, 2019.
-
Abstract
- 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.
- Subjects :
- Mathematical optimization
Article Subject
General Mathematics
Population
Boundary (topology)
010103 numerical & computational mathematics
Dynamical system
01 natural sciences
Domain (mathematical analysis)
Exponential stability
Quantitative Biology::Populations and Evolution
0101 mathematics
education
Mathematics
education.field_of_study
business.industry
lcsh:Mathematics
Economic threshold
General Engineering
Pest control
Tangent
lcsh:QA1-939
010101 applied mathematics
lcsh:TA1-2040
lcsh:Engineering (General). Civil engineering (General)
business
Subjects
Details
- ISSN :
- 15635147 and 1024123X
- Volume :
- 2019
- Database :
- OpenAIRE
- Journal :
- Mathematical Problems in Engineering
- Accession number :
- edsair.doi.dedup.....9b7200f995254092bd8ce272b65f3f03