Article View: comp.theory.dynamic-sys
Article #268Examples needed
From: Ranjan Drzzzzt! Bagchi
Date: Sun, 31 Jan 1993 22:48
Date: Sun, 31 Jan 1993 22:48
28 lines
1635 bytes
1635 bytes
Hi. I'm having a hell of a time finding an example of a chaotic attractor in a 3-species predator-victim system with either Lotka-Volterra characteristics, or logistic characteristics. I do have (from Hastings and Powell, 1991) an example of a chaotic attractor in a system type-II functional response: dx/dt = x(1-x) - f1(x)y dy/dt = f1(x)y - f2(y)z - d1y dz/dt = f2(y)z - d2z fn(u) = a_n u/(1 - b_n u) with constants -- d = ( 0.4 0.01) a = (5 0.1) b = (3 2.0) I don't see why I'm having a problem pushing this into a logistic or simple lotka-volterra model, but I'm either getting populations that crash or exponential. help?? -rj -- Ranjan Bagchi Ranjan.Bagchi@umich.edu oo oooo o oo ooo oo oo oo o o oooo ooo o o oooooooo
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: f7de2,4b836b640699a2c0,start X-Google-Attributes: gidf7de2,public X-Google-Thread: 101fc6,4b836b640699a2c0,start X-Google-Attributes: gid101fc6,public X-Google-Thread: 10ed18,4b836b640699a2c0,start X-Google-Attributes: gid10ed18,public X-Google-ArrivalTime: 1993-01-31 14:48:19 PST Newsgroups: comp.theory.dynamic-sys,bionet.population-bio,sci.fractals Path: arc1-ca.pugleaf.net!sparky!uunet!stanford.edu!agate!spool.mu.edu!sdd.hp.com!caen!umeecs!quip.eecs.umich.edu!bagchi From: bagchi@quip.eecs.umich.edu (Ranjan Drzzzzt! Bagchi) Subject: Examples needed Message-ID: <1993Jan31.224819.2673@zip.eecs.umich.edu> Sender: news@zip.eecs.umich.edu (Mr. News) Organization: University of Michigan EECS Dept., Ann Arbor, MI Date: Sun, 31 Jan 1993 22:48:19 GMT Lines: 28