Trends in bifurcation software: From CONTENT to MATCONT

Demos: Peroxidase-oxidase reaction
2Y H 2 + O 2 + 2H + → 2Y H + + 2H 2 O
A + B + X k 1
→ 2X, Y k 5
→ Q,
2X k 2
k
→ 2Y, X
0
0 → X,
A + B + Y k 3
k
→ 2X, A
7
0 ↔ A,
X k 4
k
→ P, B
8
0 → B
Steinmetz & Larter [J. Chem. Phys. 74 (1991), 1388-1396]
⎧
A ˙ = −k 1 ABX − k 3 ABY + k 7 − k −7 A,
⎪⎨ Ḃ = −k 1 ABX − k 3 ABY + k 8 ,
⎪⎩
Ẋ = k 1 ABX − 2k 2 X 2 + 2k 3 ABY − k 4 X + k 6 ,
Ẏ = −k 3 ABY + 2k 2 X 2 − k 5 Y.
GHM – p.8/11