Weak Equivalence Transformations for a Class of Models in Biomathematics-Reference-Cited by-同舟云学术

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Weak Equivalence Transformations for a Class of Models in Biomathematics

Published:2014 Issue: Volume:2014 Page:1-9
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Freire Igor Leite¹,Torrisi Mariano²^ORCID

Affiliation:

1. Centro de Matemática, Computação e Cognição, Universidade Federal do ABC (UFABC), Rua Santa Adélia 166, Bairro Bangu, 09.210-170 Santo André, SP, Brazil

2. Dipartimento di Matematica e Informatica, Università Degli Studi di Catania, Viale Andrea Doria 6, 95125 Catania, Italy

Abstract

A class of reaction-diffusion systems unifying severalAedes aegyptipopulation dynamics models is considered. Equivalence transformations are found. Extensions of the principal Lie algebra are derived for some particular cases.

Funder

FAPESP

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/546083.pdf

Reference23 articles.

1. Mathematical models for the dispersal dynamics: travelling waves by wing and wind

2. Symmetry methods in mathematical modeling of Aedes aegypti dispersal dynamics

3. Similarity solutions for systems arising from an Aedes aegypti model

4. Preliminary group classification of equations vtt=f (x,vx)vxx+g(x,vx)

5. Equivalence transformations and differential invariants of a generalized nonlinear Schrödinger equation

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2. Lie Symmetries and Solutions of Reaction Diffusion Systems Arising in Biomathematics;Symmetry;2021-08-20

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