Modeling the Transmission of Wolbachia in Mosquitoes for Controlling Mosquito-Borne Diseases

Modeling the Transmission of Wolbachia in Mosquitoes for Controlling Mosquito-Borne Diseases

Fields Institute via YouTube Direct link

Intro

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1 of 22

Intro

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Modeling the Transmission of Wolbachia in Mosquitoes for Controlling Mosquito-Borne Diseases

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  1. 1 Intro
  2. 2 Aedes aegypti – primary vector for the transmission
  3. 3 Modeling the Wolbachia invasion in mosquitoes
  4. 4 Wolbachia transmission dynamics in mosquitoes
  5. 5 Basic reproductive number Ro
  6. 6 Critical threshold for establishing Wolbachia infection
  7. 7 remove aquatic stage
  8. 8 combine infection groups
  9. 9 removing males
  10. 10 Reduced 2-ODE model mimics the dynamics of 9-ODE
  11. 11 The reduced models preserve the critical threshold
  12. 12 Why we need spatial models?
  13. 13 2.PDE model
  14. 14 Threshold condition for spatial model
  15. 15 Capture the critical bubble (analytically)
  16. 16 Capture the critical bubble (numerically)
  17. 17 Comparison for two approaches
  18. 18 Compare critical bubble with other shapes
  19. 19 Invasion success: above threshold
  20. 20 Summary
  21. 21 Future work: cylindrical symmetric for releases in 2-D
  22. 22 Acknowledgment

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