Behaviors and numerical simulations of malaria dynamic models with transgenic mosquitoes
type: Item
instance of: scholarly article
title: Behaviors and numerical simulations of malaria dynamic models with transgenic mosquitoes
zbMATH Open document ID: 1406.92596
DOI: 10.1155/2014/378968
author: Junjun Xu
author: Xiao Wang
author: Xiongwei Liu
author: Li-zhi Cheng
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The release of transgenic mosquitoes to interact with wild ones is a promising method for controlling malaria. How to effectively release transgenic mosquitoes to prevent malaria is always a concern for researchers. This paper investigates two methods of releasing transgenic mosquitoes and proposes two epidemic models involving malaria patients, anopheles, wild mosquitoes, and transgenic mosquitoes based on system of continuous differential equations. A basic reproduction number \(\mathbf{R}_0\) is defined for the models and it serves as a threshold parameter that predicts whether malaria will spread. By theoretical analysis of the dynamic behaviors of the models and numerical simulations, it is verified that malaria can be effectively controlled by the opportune release of transgenic mosquitoes; that is, when \(\mathbf{R}_0 \leq 1\), malaria will disappear; when \(\mathbf{R}_0 > 1\), malaria will become an endemic disease in the target field.
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 7022261
zbMATH Keywords: malaria dynamic models
zbMATH Keywords: transgenic mosquitoes
zbMATH Keywords: numerical simulation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/378968
OpenAlex ID: W1983665269
Wikidata QID: Q59036895
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description: scientific article; zbMATH DE number 7022261