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Usefulness of Biocontrol of Pests in Tea: A Mathematical Model

Published online by Cambridge University Press:  04 December 2008

A. Maiti ,
A. K. Pal  and
G. P. Samanta
A. Maiti*
Affiliation:
Department of Mathematics, Presidency College, Kolkata-700073, INDIA
A. K. Pal
Affiliation:
Department of Mathematics, St. Thomas' College of Engineering and Technology Kolkata-700023, INDIA
G. P. Samanta
Affiliation:
Department of Mathematics, Bengal Engineering and Science University, Shibpur Howrah - 711 103, INDIA
*
[email protected]
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Abstract

Nowadays there has been a growing consciousness among the tea industry to reducethe use of the chemical pesticides for pest control. Predators are beneficial insects that feed onharmful insects and mites, which incur considerable loss of production of tea. In this paper wehave considered a tritrophic model consisting of tea plant, pest and predator to analyze differentfield 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 biologicalcontrol.

Keywords

natural enemytime-delaystabilitybifurcation
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 3 , Issue 4: Patterns and waves in ecology and evolution (2) , 2008 , pp. 96 - 113
Copyright
© EDP Sciences, 2008

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