Similarity solutions for systems arising from an Aedes aegypti model

Author(s)

Freire, Igor Leite ^[1] ; Torrisi, Mariano ^{[1, 2]}

Affiliation

^[1] Univ Fed ABC UFABC, Ctr Matemat Comp & Cognicao, BR-09210170 Santo Andre, SP - Brazil

^[2] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania - Italy

• Document type: Journal article
• Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; v. 19, n. 4, p. 872-879, APR 2014.
• Web of Science Citations: 5

Abstract

In a recent paper a new model for the Aedes aegypti mosquito dispersal dynamics was proposed and its Lie point symmetries were investigated. According to the carried group classification, the maximal symmetry Lie algebra of the nonlinear cases is reached whenever the advection term vanishes. In this work we analyze the family of systems obtained when the wind effects on the proposed model are neglected. Wide new classes of solutions to the systems under consideration are obtained. (C) 2013 Elsevier B.V. All rights reserved. (AU)

• FAPESP's process: 11/19089-6 - Lie point symmetries and conservation laws for the Lane-Emden system
• Grantee: Igor Leite Freire
• Support Opportunities: Regular Research Grants
• FAPESP's process: 11/20072-0 - Group methods for reaction-diffusion systems and its applications to biomathematical models
• Grantee: Igor Leite Freire
• Support Opportunities: Research Grants - Visiting Researcher Grant - International