Stability Analysis of Integrated Pest Management with Impulsive Biological Control

Bhanu Gupta; Amit Sharma; Sanjay K. Srivastava

doi:10.15415/mjis.2018.62007

Authors

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

DOI:

https://doi.org/10.15415/mjis.2018.62007

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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