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Effect of Sterile Insect Technique on Dynamics of Stage-Structured Model Under Immigration

  • Sumit Kaur Bhatia
  • Sudipa Chauhan
  • Priyanka AroraEmail author
Conference paper
  • 46 Downloads
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 307)

Abstract

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.

Keywords

Immigration Sterile insect technique Prey–predator model Equilibrium points Stability analysis 

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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Sumit Kaur Bhatia
    • 1
  • Sudipa Chauhan
    • 1
  • Priyanka Arora
    • 1
    Email author
  1. 1.Amity Institute of Applied SciencesAmity UniversityNoidaIndia

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