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具有 Beverton-Holt 生存力的野生和不育蚊子相互作用的阶段结构离散时间模型。

Stage-structured discrete-time models for interacting wild and sterile mosquitoes with beverton-holt survivability.

机构信息

Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504, USA.

出版信息

Math Biosci Eng. 2019 Jan 11;16(2):572-602. doi: 10.3934/mbe.2019028.

Abstract

The sterile insect technique (SIT) is an effective weapon to prevent transmission of mosquito-borne diseases, in which sterile mosquitoes are released to reduce or eradicate the wild mosquito population. To study the impact of the sterile insect technique on the disease transmission, we formulate stage-structured discrete-time models for the interactive dynamics of the wild and sterile mosquitoes using Beverton-Holt type of survivability, based on difference equations. We incorporate different strategies for releasing sterile mosquitoes, and investigate the model dynamics. Numerical simulations are also provided to demonstrate dynamical features of the models.

摘要

不育昆虫技术(SIT)是预防蚊媒疾病传播的有效武器,通过释放不育蚊子来减少或消灭野生蚊子种群。为了研究不育昆虫技术对疾病传播的影响,我们使用基于差分方程的贝氏霍尔特型存活率来制定野生和不育蚊子相互作用动态的阶段结构离散时间模型。我们结合了释放不育蚊子的不同策略,并研究了模型的动态。还提供了数值模拟来演示模型的动态特征。

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