Usefulness of Biocontrol of Pests in Tea: A Mathematical Model

Maiti, 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 -