Effect of Sterile Insect Technique on Dynamics of Stage-Structured Model Under Immigration
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A Stage-Structured Model has been proposed to study the effect of discharge of irradiated male insects and the immigration of wild insects using the Sterile Insect Technique (SIT). The release of sterile male insects will replace natural insects from the environment. The Logistic Growth Rate has been considered for the Larvae population. We have studied the dynamics of the model in three cases. In the first case, the model has been considered without the discharge of sterile male and immigration has not been taken into account. In the second case, the release of sterile male insect has been considered but immigration has not been taken into consideration. Lastly, in the third model, both immigration and discharge of sterile male have been taken into account. In all three cases, equilibrium points have been evaluated and stability analysis has been done. Thresholds for the sterile male population have been obtained which can be helpful in understanding and implementing the SIT.
KeywordsImmigration Sterile insect technique Prey–predator model Equilibrium points Stability analysis
- 2.E.F. Knipling, Sterile insect technique as a screwworm control measure: the concept and its development, in Symposium on Eradication of the Screwworm from the United States and Mexico, Misc. Publ. Entomol. Soc. America vol. 62, ed. by O.H. Graham (College Park, MD, 1985), pp. 4–7Google Scholar
- 5.H.J. Barclay, Combining methods of insect pest control: modelling selection for resistance to control methos in combination, Reserv. Pop. Ecol. 34, 97–107 (1996)Google Scholar
- 7.A.C. Bartlett, Insect sterility, insect genetics, and insect control, in Handbook of Pest Management in Agriculture, vol. II, ed. by D. Pimentel (CRC Press, Boca Raton, FL, 1990), pp. 279–287Google Scholar