Math. J. Interdiscip. Sci.

Stability Analysis of Integrated Pest Management with Impulsive Biological Control

Bhanu Gupta, Amit Sharma and Sanjay K. Srivastava

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  • DOI Number
    https://doi.org/10.15415/mjis.2018.62007
KEYWORDS

Pest management, Impulsive differential equations, Stage-structuring, Beddington-DeAngelis functional response, Stability analysis.

PUBLISHED DATE March 2018
PUBLISHER The Author(s) 2018. This article is published with open access at www.chitkara.edu.in/publications
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.

Page(s) 79–91
URL http://dspace.chitkara.edu.in/jspui/bitstream/123456789/692/1/MJIS001_Amit.pdf
ISSN Print : 2278-9561, Online : 2278-957X
DOI https://doi.org/10.15415/mjis.2018.62007
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