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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/19080
Title: Dynamic complexities in a pest control model with birth pulse and harvesting
Authors: Goel A.
Gakkhar S.
Apri M.
Takeuchi Y.
Published in: Proceedings of AIP Conference
Abstract: In this paper, an impulsive model is discussed for an integrated pest management approach comprising of chemical and mechanical controls. The pesticides and harvesting are used to control the stage-structured pest population. The mature pest give birth to immature pest in pulses at regular intervals. The pest is controlled by spraying chemical pesticides affecting immature as well as mature pest. The harvesting of both immature and mature pest further reduce the pest population. The discrete dynamical system obtained from stroboscopic map is analyzed. The threshold conditions for stability of pest-free state as well as non-trivial period-1 solution is obtained. The effect of pesticide spray timing and harvesting on immature as well as mature pest are shown. Finally, by numerical simulation with MATLAB, the dynamical behaviors of the model is found to be complex. Above the threshold level there is a characteristic sequence of bifurcations leading to chaotic dynamics. Route to chaos is found to be period-doubling. Period halving bifurcations are also observed. © 2016 AIP Publishing LLC.
Citation: Proceedings of AIP Conference, (2016)
URI: https://doi.org/10.1063/1.4945068
http://repository.iitr.ac.in/handle/123456789/19080
Issue Date: 2016
Publisher: American Institute of Physics Inc.
ISBN: 9.78E+12
ISSN: 0094243X
Author Scopus IDs: 57192676488
6602189155
Author Affiliations: Goel, A., Department of Mathematics, Indian Institute of Technology, Roorkee, Uttarakhand, 247667, India
Gakkhar, S., Department of Mathematics, Indian Institute of Technology, Roorkee, Uttarakhand, 247667, India
Corresponding Author: Goel, A.; Department of Mathematics, Indian Institute of TechnologyIndia; email: goelanju23@gmail.com
Appears in Collections:Conference Publications [MA]

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