Open AccessSex-structured wild and sterile mosquito population models with different release strategies
Author(s) -
Shu Yang Xue,
Mei Li Li,
Jun Ling,
Jia Li
Publication year - 2019
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2019064
Subject(s) - sterile insect technique , population , stability (learning theory) , population model , mathematics , biology , computer science , biological system , demography , pest analysis , machine learning , botany , sociology
In this paper, we propose sex-structured mathematical models in terms of continuous-time differential equations. We investigate the interactive dynamics of the sex-structured wild and sterile mosquitoes from several aspects including the existence of equilibria and their stability. We consider different strategies of releasing the sterile mosquitoes to control mosquitoes in an effective way. In addition, numerical simulations are provided to illustrate the dynamical features of the models.