Differntial Equations
- To: mathgroup at smc.vnet.net
- Subject: [mg8015] Differntial Equations
- From: Bernhard Petri <bernhard.petri at biologie.uni-regensburg.de>
- Date: Sat, 2 Aug 1997 22:32:26 -0400
- Organization: Universitaet Regensburg
- Sender: owner-wri-mathgroup at wolfram.com
I have a system of 2 Diff. Eqns. which describe an oscillating chemical reaction: x'[t]==z (d-(x[t] y[t]/(y[t] (1+x[t])+a))) y'[t]==(x[t] y[t]/(y[t] (1+x[t])+a))-b y[t]/(1+x[t]) for a=30; b=0.1; d=0.03; z=1/6; and x[0]==1, y[0] == 15; I have tried to solve these with NDSolve. The system shows damped oscillations. A permanent oscillation will be obtained by the additional constraint that y[t] stays always above 0.00001. How can I include this constraint into my system? Has anybody a practical suggestion? Cheers Bernhard Petri -- Bernhard Petri Dienstlich: Institut f=81r Zoologie 1 Universit=84t Regensburg D-93040 Regensburg Germany Tel.: ++49/941/943-2156 Fax.: ++49/941/943-3304