Abstract

Basener and Ross (2005) proposed a mathematical model that describes the dynamics of growth and sudden decrease in the population of Easter Island. We have applied Lie group analysis to this system and found that it can be integrated by quadrature if the involved parameters satisfy certain relationships. We have also discerned hidden linearity. Moreover, we have determined a Jacobi last multiplier and, consequently, a Lagrangian for the general system and have found other cases independently and dependently on symmetry considerations in order to construct a corresponding variational problem, thus enabling us to find conservation laws by means of Noether's theorem. A comparison with the qualitative analysis given by Basener and Ross is provided.

Details

Title
Symmetries, Lagrangians and Conservation Laws of an Easter Island Population Model
Author
Nucci, MC; Sanchini, G
Pages
1613-1632
Publication year
2015
Publication date
2015
Publisher
MDPI AG
e-ISSN
20738994
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
1721901890
Copyright
Copyright MDPI AG 2015