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MATHEMATICAL MODELS OF MOSQUITO POPULATIONS
| Title: | MATHEMATICAL MODELS OF MOSQUITO POPULATIONS. |
 44 views 18 downloads |
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| Name(s): |
Reed, Hanna, Author Shuai, Zhisheng, Committee Chair University of Central Florida, Degree Grantor |
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| 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. |
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| Subject(s): |
Wolbachia mathematical modeling mosquito-borne disease ordinary differential equations equilibria |
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| Persistent Link to This Record: | http://purl.flvc.org/ucf/fd/CFH2000299 | |
| Restrictions on Access: | public | |
| Host Institution: | UCF |
