You are here

MATHEMATICAL MODELS OF MOSQUITO POPULATIONS

Download pdf | Full Screen View

Date Issued:
2018
Abstract/Description:
The intent of this thesis is to develop ordinary differential equation models to better understand the mosquito population. We first develop a framework model, where we determine the condition under which a natural mosquito population can persist in the environment. Wolbachia is a bacterium which limits the replication of viruses inside the mosquito which it infects. As a result, infecting a mosquito population with Wolbachia can decrease the transmission of viral mosquito-borne diseases, such as dengue. We develop another ODE model to investigate the invasion of Wolbachia in a mosquito population. In a biologically feasible situation, we determine three coexisting equilibria: a stable Wolbachia-free equilibrium, an unstable coexistence equilibrium, and a complete invasion equilibrium. We establish the conditions under which a population of Wolbachia infected mosquitoes may persist in the environment via the next generation number and determine when a natural mosquito population may experience a complete invasion of Wolbachia.
Title: MATHEMATICAL MODELS OF MOSQUITO POPULATIONS.
19 views
6 downloads
Name(s): Reed, Hanna, Author
Shuai, Zhisheng, Committee Chair
University of Central Florida, Degree Grantor
Type of Resource: text
Date Issued: 2018
Publisher: University of Central Florida
Language(s): English
Abstract/Description: The intent of this thesis is to develop ordinary differential equation models to better understand the mosquito population. We first develop a framework model, where we determine the condition under which a natural mosquito population can persist in the environment. Wolbachia is a bacterium which limits the replication of viruses inside the mosquito which it infects. As a result, infecting a mosquito population with Wolbachia can decrease the transmission of viral mosquito-borne diseases, such as dengue. We develop another ODE model to investigate the invasion of Wolbachia in a mosquito population. In a biologically feasible situation, we determine three coexisting equilibria: a stable Wolbachia-free equilibrium, an unstable coexistence equilibrium, and a complete invasion equilibrium. We establish the conditions under which a population of Wolbachia infected mosquitoes may persist in the environment via the next generation number and determine when a natural mosquito population may experience a complete invasion of Wolbachia.
Identifier: CFH2000299 (IID), ucf:45845 (fedora)
Note(s): 2018-05-01
B.S.
College of Sciences, Mathematics
Bachelors
This record was generated from author submitted information.
Subject(s): Wolbachia
mathematical modeling
mosquito-borne disease
ordinary differential equations
equilibria
Persistent Link to This Record: http://purl.flvc.org/ucf/fd/CFH2000299
Restrictions on Access: public
Host Institution: UCF

In Collections