Interactive Dynamics of Wild and Sterile Mosquito Populations with Time Delay

[TMCSC]

July 10, 2019  16:50-17:50

四川大学东三教学楼 247

[lecture]0710Jia Li-01.jpg

SPEAKER

Jia Li (The University of Alabama)

ABSTRACT

The release of sterile mosquitoes is one of the effective biological control measures in preventing mosquito-borne diseases. To investigate the impact of such releases, we present a delay differential equation model for the interactive wild and sterile mosquitoes. We consider the cases where the releasing rate of sterile mosquitoes is constant or a presumed function. We establish a threshold of the releases to determine whether the wild mosquito suppression succeeds or fails, and study the existence and stability of equilibria for the model with a constant release rate. We also consider case in which the releases are periodic and impulsive. Numerical examples and brief discussions are provided. This is based on a joint work with Professor Jianshe Yu of Guangzhou University. 

ORGANIZERS

洪绍方（四川大学）

寇     辉（四川大学）

连     增（四川大学）

SUPPORTED BY

国家天元数学西南中心

四川大学数学学院