Usefulness of Biocontrol of Pests in Tea: A Mathematical Model
A. Maiti; A. K. Pal; G. P. Samanta
Mathematical Modelling of Natural Phenomena (2008)
- Volume: 3, Issue: 4, page 96-113
- ISSN: 0973-5348
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topMaiti, A., Pal, A. K., and Samanta, G. P.. "Usefulness of Biocontrol of Pests in Tea: A Mathematical Model." Mathematical Modelling of Natural Phenomena 3.4 (2008): 96-113. <http://eudml.org/doc/222244>.
@article{Maiti2008,
abstract = {Nowadays there has been a growing consciousness among the tea industry to reduce
the use of the chemical pesticides for pest control. Predators are beneficial insects that feed on
harmful insects and mites, which incur considerable loss of production of tea. In this paper we
have considered a tritrophic model consisting of tea plant, pest and predator to analyze different
field observations. The effect of discrete time-delay on the tritrophic model is studied critically.
The dynamical behaviours are studied both analytically and numerically by computer simulation.
Our results suggest some theoretical measures which may be implemented for successful biological
control.
},
author = {Maiti, A., Pal, A. K., Samanta, G. P.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {natural enemy; time-delay; stability; bifurcation},
language = {eng},
month = {12},
number = {4},
pages = {96-113},
publisher = {EDP Sciences},
title = {Usefulness of Biocontrol of Pests in Tea: A Mathematical Model},
url = {http://eudml.org/doc/222244},
volume = {3},
year = {2008},
}
TY - JOUR
AU - Maiti, A.
AU - Pal, A. K.
AU - Samanta, G. P.
TI - Usefulness of Biocontrol of Pests in Tea: A Mathematical Model
JO - Mathematical Modelling of Natural Phenomena
DA - 2008/12//
PB - EDP Sciences
VL - 3
IS - 4
SP - 96
EP - 113
AB - Nowadays there has been a growing consciousness among the tea industry to reduce
the use of the chemical pesticides for pest control. Predators are beneficial insects that feed on
harmful insects and mites, which incur considerable loss of production of tea. In this paper we
have considered a tritrophic model consisting of tea plant, pest and predator to analyze different
field observations. The effect of discrete time-delay on the tritrophic model is studied critically.
The dynamical behaviours are studied both analytically and numerically by computer simulation.
Our results suggest some theoretical measures which may be implemented for successful biological
control.
LA - eng
KW - natural enemy; time-delay; stability; bifurcation
UR - http://eudml.org/doc/222244
ER -
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