Meksianis Z. Ndii | Searcharxiv

arXiv2018

Meromorphic Solutions of Modified Quintic Complex Ginzburg-Landau Equation

In this paper, the meromorphic solution of the modified quintic complex Ginzburg-Landau equation (CGLE) is analysed. We found the general explicit solutions to the equation in three different forms, yield simply periodic, doubly periodic and rational solution. Firstly, this equation was transformed to nonlinear ordinary differential equation and then we solved it by using a powerful algorithm proposed by Demina and Kudryashov, based on the existence of Laurent series. Finally, we have the meromorphic solution of the equation, and to verify these solutions, we showed a special case which we constructed from the general form.

nlin.SI↗

arXiv2017

Mathematical Modelling to Investigate a Wolbachia Intervention to Reduce Dengue Transmission

The introduction of Wolbachia-carrying mosquitoes into the population has recently been proposed as an alternative strategy against dengue. Although laboratory experiments have shown that the Wolbachia bacterium can reduce the levels of dengue virus in mosquitoes, it is also important to assess the performance of Wolbachia in reducing the incidence of dengue in human populations.In this thesis, deterministic mathematical models of human and mosquito populations in which either one or two dengue serotypes circulate are developed. We adapt these models to enable the investigation of dengue disease dynamics in the absence and presence of Wolbachia in order to assess the performance of Wolbachia as a strategy to reduce human dengue incidence. When studying the situation in which a single dengue serotype is present in the population, we consider scenarios where dengue is introduced into the human population once and multiple times.

q-bio.PE↗