HYBRID APPROACH FOR PEST MANAGEMENT MODEL WITH IMPULSIVE CONTROL

Authors

  • Sayooj Aby Jose Research Scholar, Department of Mathematics, PSG College of Arts and Science, Tamil Nadu, India
  • Venkatesh Usha Assistant Professor, Department of Mathematics, PSG College of Arts and Science, Tamil Nadu, India,

Keywords:

Impulsive Differential Equations, Pest Management, Stability, Periodic solution, Floquet theory

Abstract

In this paper we study the dynamics of plant-pest virus, organic pesticides and natural enemy food chain model. Here our control input will be impulsive releasing of virus, natural enemy and organic pesticides. The main aim of this paper is to study two periodic solutions namely, Plant pest extinction and pest extinction periodic solutions using the above mentioned model. Using Floquet theory of impulsive differential equations and small amplitude perturbation technique we establish pest control through the local stability of both the periodic solutions. Also numerical examples have been given in order to demonstrate the effectiveness of the presented theoretical results.

Downloads

Published

2018-08-22

How to Cite

Jose, S. A. ., & Usha, V. . (2018). HYBRID APPROACH FOR PEST MANAGEMENT MODEL WITH IMPULSIVE CONTROL. International Journal of Technical Innovation in Modern Engineering & Science, 4(8), 1052–1060. Retrieved from https://ijtimes.com/index.php/ijtimes/article/view/1171

Issue

Vol. 4 No. 8 (2018): Vol. 4 No. 8: Volume 4 Issue 8 (August-2018)

Section

Articles