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