The Pest Management Model with Impulsive Control

Yan Song; Xuejuan Wang; Wei Jiang

doi:10.4028/www.scientific.net/AMM.519-520.1299

Paper Titles

Design and Realization of the Kalman Filter Based on LabVIEW
p.1276

Construction and Application of Remote Sensing Based Evapotranspiration System in Hai Basin
p.1281

Preliminary Analysis on the Wind Retrieval Method in Nowcasting
p.1287

A Class of Difference Inequality and an Application to Discrete-Time Control Systems
p.1295

The Pest Management Model with Impulsive Control
p.1299

The Control Algorithm Research of Yarn Tension for Winding Machine Based on Grey Prediction Model
p.1305

An Improvement of IED Configuration Tool and Modeling for Transformer Condition Monitoring IED
p.1309

Research of Trajectory Planning of a High-Altitude Long-Range Gliding Unmanned Underwater Vehicle
p.1313

Study of Electric Power Grid Based on Improved Data Envelopment Analysis Model
p.1321

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 519-520The Pest Management Model with Impulsive Control

The Pest Management Model with Impulsive Control

Abstract:

Based on integrated control strategy with spraying pesticides and releasing natural enemies at different fixed moments, we establish a pest management model with impulsive control. Using Floquet theorem of impulsive differential equations and comparison theorem, we obtain the sufficient conditions of globally asymptotical stability of the pest-eradication periodic solution and permanence of the model.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 519-520)

Pages:

1299-1304

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.519-520.1299

Citation:

Cite this paper

Online since:

February 2014

Authors:

Yan Song, Xuejuan Wang, Wei Jiang

Keywords:

Globally Asymptotical Stability, Impulsive Control, Permanence, Releasing Natural Enemies, Spraying Pesticides

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] Tang, S. Y. , Xiao, Y. N. , Chen, L. S., Cheke, R. A. : Integrated pest management models and their dynamical behavior. Bull. Math. Biol. 67, 115-135(2005).

DOI: 10.1016/j.bulm.2004.06.005

Google Scholar

[2] Liu, B. , Chen, L. , Zhang, Y. : The dynamics of a prey-dependent consumption model concerning impulsive control strategy. Appl. Math. Comput. 169, 305-320(2005).

DOI: 10.1016/j.amc.2004.09.053

Google Scholar

[3] Zhang, H. , Chen, L. , Georgescu, P. : Impulsive control strategies for pest management. J. Biol. Syst. 15, 235-260(2007).

DOI: 10.1142/s0218339007002106

Google Scholar

[4] Wang, X., Tao Y. D., Song X. Y. : Analysis of pest-epidemic model by releasing diseased pest with impulsive transmission. Nonlinear Dyn, 65: 175-185(2011).

DOI: 10.1007/s11071-010-9882-4

Google Scholar

[5] Tang, S. Y. , Tang, G. Y. , Cheke, R. A. : Optinum timing for integrated pest management: Modelling rates of pesticide application and natural enemy releases. J. Theor. Biol. 264: 623-638(2010).

DOI: 10.1016/j.jtbi.2010.02.034

Google Scholar