Stability Analysis of Integrated Pest Management with Impulsive Biological Control

  • Bhanu Gupta JC DAV College, Dasuya, Punjab, India
  • Amit Sharma JC DAV College, Dasuya, Punjab, India; IKG PTU Kapurthala, Punjab, India
  • Sanjay K. Srivastava BCET, Gurdaspur, Punjab, India
Keywords: Pest management, Impulsive differential equations, Stage-structuring, Beddington-DeAngelis functional response, Stability analysis

Abstract

The aim of the present work is to study the dynamics of stage-structured pest control model including biological control, i.e. by releasing of natural enemies and infected pests periodically. It is assumed that only immature susceptible pests are attacked by natural enemies admitting Beddington DeAngelis functional response and mature susceptible pests are contacted by infected pests with bilinear incidence rate and become exposed. The sufficient condition for local stability of pest extinction periodic solution is derived by making use of Floquet’s theory and small amplitude perturbation technique. The global attractivity of pest extinction periodic solution is also established by applying comparison principle of impulsive differential equations.

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Published
2018-03-01
How to Cite
Bhanu Gupta, Amit Sharma, and Sanjay K. Srivastava. 2018. “Stability Analysis of Integrated Pest Management With Impulsive Biological Control”. Mathematical Journal of Interdisciplinary Sciences 6 (2), 79-91. https://doi.org/10.15415/mjis.2018.62007.
Section
Articles