کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4622558 1339501 2007 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hidden linearity in systems for competition with evolution in ecology and finance
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Hidden linearity in systems for competition with evolution in ecology and finance
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 333, Issue 1, 1 September 2007, Pages 274-294