Special Session 14: 

Mathematical Models on Killing Mosquitoes with More Mosquitoes

Bo Zheng
Guangzhou University
Peoples Rep of China
Co-Author(s):    Moxun Tang, Jianshe Yu, Zhiyong Xi, Linchao Hu, Megen Huang
Abstract:
Mosquitoes are primary vectors of life-threatening diseases such as dengue, malaria, and Zika. A new control method involves releasing mosquitoes carrying bacterium Wolbachia into the natural areas to infect or eradicate wild mosquitoes and block disease transmission. In this talk, some mathematical models, including models of ordinary differential equations, delay differential equations, stochastic equations, and reaction-diffusion equations, on the dynamics of Wolbachia spread in mosquitoes will be presented. Instead of elaborating the mathematical proof, I will focus more on what do our results imply biologically that may be instructive to the design of release strategies. This is a joint work with Prof. Moxun Tang, a microbiologist Prof. Zhiyong Xi from Michigan State University, Prof. Jianshe Yu and Dr. Mugen Huang from Guangzhou University, and Dr. Linchao Hu from Sun Yat-sen University.