The Graduate Program in Computational Mathematical Modeling (PPGMMC) of the Informatics Center of the Federal University of Paraíba has the honor of inviting the scientific community to the public master thesis defense of
Moisés Filgueira de Oliveira
Title: Anthropophilic Behavior of Wild and Transgenic Mosquitoes Based on Reaction-Diffusion-Chemotaxis Model
Abstract:
Mosquito-borne diseases such as dengue, malaria, chikungunya, Zika-virus and yellow fever, have been relevant subject of studies in the academic- scientific environment. The alarming numbers reported yearly in the world place many of these diseases in prominence.
Genetic manipulation techniques, together with prevention methods, vaccines and drug treatment provide a set of possibilities that, when used correctly, can considerably reduce the incidence of many diseases. The assessment of disease prevention and control measures must first be done through simulations of mathematical and computational models and just later practical application in order to guarantee safety, economy and viability. In this work, we propose a model described by a system of differential equations of the reaction-diffusion-chemotaxis type that describes the spread and interaction between wild and transgenic mosquitoes, where the transgenic population has a reduced CO 2 detection capacity, which makes it difficult to blood orientation and therefore reduces the bitting rate on humans. The model was solved numerically using the sequential operator splitting technique, with the reactive part of the system solved by the fourth-order Runge-kutta and the diffusive-chemotactic part by Finite difference method. The numerical simulations obtained attest to the consistency of the model with the assumptions adopted.
Committee Composition:
Prof. Ana Paula Pintado Wyse – Advisor – UFPB
Prof. Antônio José Boness dos Santos – Advisor – UFPB
Prof. José Miguel Aroztegui Massera – UFRB
Prof. Gilson Francisco de Oliveira Júnior – UFPB
Date: 31 de Março de 2017 (Sexta-feira)
Hour: 14:00 horas
Address: Sala 304 – Centro de Informática (CI / UFPB),
Rua dos Escoteiros, s/n, Campus de Mangabeira
All are welcome !!
