| Grant number: | 13/01552-7 |
| Support type: | Scholarships in Brazil - Master |
| Effective date (Start): | May 01, 2013 |
| Effective date (End): | February 28, 2015 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Applied Mathematics |
| Principal researcher: | Cláudia Pio Ferreira |
| Grantee: | Thomas Nogueira Vilches |
| Home Institution: | Instituto de Biociências (IBB). Universidade Estadual Paulista (UNESP). Campus de Botucatu. Botucatu , SP, Brazil |
| Associated scholarship(s): | 13/23986-9 - Dengue transmission model with two serotypes of virus through complex networks, BE.EP.MS |
Abstract This project includes the study of mathematical models for dengue in order to discuss the influence of model parameters on dynamics of epidemics. For it is proposed a model of ordinary differential equations describing the transmission of dengue in the human population when two serotypes of the virus are considered. We will do the equilibrium and stability analysis to the proposed model. Later, using a quasi-steady state approach, we will propose a transmission dynamics on a Watts-Strogatz network. We will analyze the influence of network topology on the stability region of equilibrium points of the ordinary differential equations model. (AU) | |
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