Stage-structured wild and sterile mosquito population models and their dynamics

Journal of Biological Dynamics

Jia Li¹  Yang Li¹  Liming Cai² 

[1] University of Alabama;Xinyang Normal University;

关键词: Allee effects;    stability;    stage structure;    sterile mosquito releases;    vector-bornediseases;   

DOI  :  10.1080/17513758.2016.1159740

来源: DOAJ

【 摘 要 】

To study the impact of the sterile insect technique and effects of the mosquitoes' metamorphic stage structure on the transmission dynamics of mosquito-borne diseases, we formulate stage-structured continuous-time mathematical models, based on systems of differential equations, for the interactive dynamics of the wild and sterile mosquitoes. We incorporate different strategies for the releases of sterile mosquitoes in the models and investigate the model dynamics, including the existence of positive equilibria and their stability. Numerical examples are provided to demonstrate the dynamical features of the models.

【 授权许可】

Unknown