| Issue |
Math. Model. Nat. Phenom.
Volume 3, Number 4, 2008
Patterns and waves in ecology and evolution (2)
|
|
|---|---|---|
| Page(s) | 96 - 113 | |
| DOI | https://doi.org/10.1051/mmnp:2008072 | |
| Published online | 04 December 2008 | |
Usefulness of Biocontrol of Pests in Tea: A Mathematical Model
1
Department of Mathematics, Presidency College, Kolkata-700073, INDIA
2
Department of Mathematics, St. Thomas' College of Engineering and Technology
Kolkata-700023, INDIA
3
Department of Mathematics, Bengal Engineering and Science University, Shibpur
Howrah - 711 103, INDIA
Corresponding author: alakesh_maity@hotmail.com
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.
Mathematics Subject Classification: 92D25
Key words: natural enemy / time-delay / stability / bifurcation
© EDP Sciences, 2008
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