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Article #268

Examples needed

#268
From: Ranjan Drzzzzt! Bagchi
Date: Sun, 31 Jan 1993 22:48
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	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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From: bagchi@quip.eecs.umich.edu (Ranjan Drzzzzt!  Bagchi)
Subject: Examples needed
Message-ID: <1993Jan31.224819.2673@zip.eecs.umich.edu>
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Organization: University of Michigan EECS Dept., Ann Arbor, MI
Date: Sun, 31 Jan 1993 22:48:19 GMT
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