Journal of Applied Mathematics and Computing

, Volume 22, Issue 3, pp 71–86

Sterile insect release method as a control measure of insect pests: A mathematical model

Article

DOI: 10.1007/BF02832038

Cite this article as:
Maiti, A., Patra, B. & Samanta, G.P. J. Appl. Math. Comput. (2006) 22: 71. doi:10.1007/BF02832038

Abstract

Recently non-conventional approaches of pest control are getting much more importance in different parts of the world. The main reason behind this is the long list of side effects of conventional approaches (use of pesticides etc.). The present paper focuses on one such extremely useful method of insect pest control, namely the Sterile Insect Release Method (SIRM), by using a mathematical model. A blend of dynamical behaviours of the model is studied critically, which, in turn, indicates the relevance of the method. The effect of uncertain environmental fluctuations on both fertile and sterile insects is also investigated. Our analytical findings are verified through computer simulation. Some important restrictions on the parameters of the system are mentioned, which may be implemented for a better performance of SIRM.

AMS Mathematics Subject Classification

37G15 92D25 

Key words and phrases

Sterile insect release method stability bifurcation stationary stochastic process spectral density 

Copyright information

© Korean Society for Computational & Applied Mathematics and Korean SIGCAM 2006

Authors and Affiliations

  1. 1.Department of MathematicsTaki Government CollegeTakiIndia
  2. 2.Department of MathematicsBarasat P. C. S. Govt. High SchoolBarasatIndia
  3. 3.Department of MathematicsBengal Engineering and Science UniversityShibpur, HowrahIndia

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