Sex-structured wild and sterile mosquito population models with different release strategies

被引：7
作者：
Xue, Shuyang [1 ]
Li, Meili [2 ]
Ma, Junling [3 ]
Li, Jia [4 ,5 ]
机构：
[1] Donghua Univ, Sch Informat Sci & Technol, Shanghai 201620, Peoples R China
[2] Donghua Univ, Sch Sci, Shanghai 201620, Peoples R China
[3] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 2Y2, Canada
[4] Guangzhou Univ, Ctr Appl Math, Guangzhou 510320, Guangdong, Peoples R China
[5] Univ Alabama, Dept Math Sci, Huntsville, AL 35899 USA
来源：
MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2019年 / 16卷 / 03期
基金：
中国国家自然科学基金; 加拿大自然科学与工程研究理事会;
关键词：
sex structure; mosquito-borne diseases; sterile mosquitoes; release strategies; Allee effects; stability; MATHEMATICAL-MODEL; DYNAMICS;
D O I：
10.3934/mbe.2019064
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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.
引用
收藏
页码：1313 / 1333
页数：21
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