In [J.C. Sprott, Competition with evolution in ecology and finance, Phys. Lett. A 325 (2004) 329–333] a variant of the multispecies Lotka–Volterra model was proposed in which species competing for fixed finite resources are replaced by a new randomly chosen species whenever they become extinct. We applied Lie group analysis to this system and found that it can be reduced to a linear equation if certain values are given to the parameters involved, which rules out any chaotic behavior in these instances. Also different routes to linearization are shown.
A. GRADASSI, NUCCI, M.C. (2007). Hidden linearity in systems for competition with evolution in ecology and finance. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 333(1), 274-294 [10.1016/j.jmaa.2007.02.060].
Hidden linearity in systems for competition with evolution in ecology and finance
NUCCI, Maria Clara
2007
Abstract
In [J.C. Sprott, Competition with evolution in ecology and finance, Phys. Lett. A 325 (2004) 329–333] a variant of the multispecies Lotka–Volterra model was proposed in which species competing for fixed finite resources are replaced by a new randomly chosen species whenever they become extinct. We applied Lie group analysis to this system and found that it can be reduced to a linear equation if certain values are given to the parameters involved, which rules out any chaotic behavior in these instances. Also different routes to linearization are shown.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
