title: Stage-structured wild and sterile mosquito population models and their dynamics.
abstract: 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.
authors.affiliation: a Department of Mathematical Sciences , University of Alabama , Huntsville , AL , USA.
authors.forename: Jia
authors.initials: J
authors.lastname: Li
authors.affiliation: b College of Mathematics and Information Science , Xinyang Normal University , Xinyang , People's Republic of China.
authors.forename: Liming
authors.initials: L
authors.lastname: Cai
authors.affiliation: a Department of Mathematical Sciences , University of Alabama , Huntsville , AL , USA.
authors.forename: Yang
authors.initials: Y
authors.lastname: Li
mesh_terms: D000818:Animals; D009033:Culicidae / Q000502:physiology*; D007246:Infertility; D008954:Models, Biological; D009032:Mosquito Control; D000072138:Mosquito Vectors / Q000502:physiology; D011157:Population Dynamics
keywords: 34D20; 92D25; 92D30; 92D40; Allee effects; stability; stage structure; sterile mosquito releases; vector-bornediseases