| Full text | |
| Author(s): |
Bacani, Felipo
[1]
;
Dimas, Stylianos
[2]
;
Freire, Igor Leite
[2]
;
Maidana, Norberto Anibal
[2]
;
Torrisi, Mariano
[3]
Total Authors: 5
|
| Affiliation: | [1] Univ Fed Ouro Preto UFOP, Inst Ciencias Exatas & Aplicadas, Rua Trinta & Seis, BR-35931008 Joao Monlevade, MG - Brazil
[2] Univ Fed ABC UFABC, Ctr Matemat Comp & Cognicao, Ave Estados 5001, BR-09210580 Santo Andre, SP - Brazil
[3] Univ Catania, Dipartimento Matemat & Informat, Viale Andrea Doria 6, I-95125 Catania - Italy
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS; v. 41, p. 269-287, JUN 2018. |
| Web of Science Citations: | 2 |
| Abstract | |
In this paper we propose some mathematical models for the transmission of dengue using a system of reaction diffusion equations. The mosquitoes are divided into infected, uninfected and aquatic subpopulations, while the humans, which are divided into susceptible, infected and recovered, are considered homogeneously distributed in space with a constant total population. We find Lie point symmetries of the models and we study theirs temporal dynamics, which provides us the regions of stability and instability, depending on the values of the basic offspring and the basic reproduction numbers. Also, we calculate the possible values of the wave speed for the mosquitoes invasion and dengue spread and compare them with those found in the literature. (C) 2017 Elsevier Ltd. All rights reserved. (AU) | |
| FAPESP's process: | 14/05024-8 - Symmetries and conservation laws for differential equations arising from physical and biological systems |
| Grantee: | Igor Leite Freire |
| Support Opportunities: | Regular Research Grants |