具有不同释放策略的按性别构建的野生和不育蚊子种群模型。

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

作者信息

Xue Shu Yang, Li Mei Li, Ma Jun Ling, Li Jia

机构信息

School of Information Science and Technology, Donghua University, Shanghai 201620, China.

School of Science, Donghua University, Shanghai 201620, China.

出版信息

Math Biosci Eng. 2019 Feb 20;16(3):1313-1333. doi: 10.3934/mbe.2019064.

DOI:10.3934/mbe.2019064

PMID:30947422

Abstract

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.

摘要

在本文中，我们根据连续时间微分方程提出了性别结构数学模型。我们从多个方面研究了性别结构的野生和不育蚊子的相互作用动态，包括平衡点的存在性及其稳定性。我们考虑了不同的释放不育蚊子策略，以有效控制蚊子。此外，还提供了数值模拟来说明模型的动态特征。