Analytic solutions to a family of Lotka-Volterra related differential equations

Authors
Evans, CM Findley, GL
Citation
Cm. Evans et Gl. Findley, Analytic solutions to a family of Lotka-Volterra related differential equations, J MATH CHEM, 25(2-3), 1999, pp. 181-189
Citations number
18
Categorie Soggetti
Chemistry
Journal title
JOURNAL OF MATHEMATICAL CHEMISTRY
ISSN journal
02599791 → ACNP
Volume
25
Issue
2-3
Year of publication
1999
Pages
181 - 189
Database
ISI
SICI code
0259-9791(1999)25:2-3<181:ASTAFO>2.0.ZU;2-T
Abstract
An initial formal analysis of the analytic solution (C.M. Evans and G.L. Fi ndley, J. Math. Chem. 25 (1999) 105-110.) to the Lotka-Volterra (LV) dynami cal system is presented. A family of first-order autonomous ordinary differ ential equations related to the LV system is derived, and the analytic solu tions to these systems are given. Invariants for the latter systems are int roduced, and a simple transformation which allows these systems to be reduc ed to Hamiltonian form is provided.