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
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله

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
Journal: Journal of Mathematical Analysis and Applications - Volume 333, Issue 1, 1 September 2007, Pages 274-294