Impulsive Spraying Insecticide Model with Single Species

DOI

10.2991/eame-15.2015.209How to use a DOI?

Keywords

pulse spraying insecticide; the plants diseases and insect pests model; the disease-free periodic solution; stability; global stability

Abstract

Here we discussed the SIRS model of pulse spaying pesticides with vertical transmission and single species. Assuming that the incidence rate is periodically time-dependant and the total number of forest trees also changes over time, we studied the stability of impulsive model using piecewise continuous Lyapunov function and differential theories. Then we obtained the conditions of global asymptotic stability (GAS) for the periodic solution of pests being relatively or totally eradicated. Finally, we selected appropriate data and used numerical examples to show the correctness of the conclusions.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - B.B. Gao
AU  - D.J. Wang
PY  - 2015/07
DA  - 2015/07
TI  - Impulsive Spraying Insecticide Model with Single Species
BT  - Proceedings of the 2015 International Conference on Electrical, Automation and Mechanical Engineering
PB  - Atlantis Press
SP  - 774
EP  - 777
SN  - 2352-5401
UR  - https://doi.org/10.2991/eame-15.2015.209
DO  - 10.2991/eame-15.2015.209
ID  - Gao2015/07
ER  -