HastingsPowell

Systems · Continuous · Chem bio systems

Dimension: 3

Equations

\[ \begin{aligned} \dot{y_{0}} &= - \frac{a_{1} y_{0} y_{1}}{b_{1} y_{0} + 1} + y_{0} \left(1 - y_{0}\right) \\ \dot{y_{1}} &= \frac{a_{1} y_{0} y_{1}}{b_{1} y_{0} + 1} - \frac{a_{2} y_{1} y_{2}}{b_{2} y_{1} + 1} - d_{1} y_{1} \\ \dot{y_{2}} &= \frac{a_{2} y_{1} y_{2}}{b_{2} y_{1} + 1} - d_{2} y_{2} \end{aligned} \]

Parameters

parameter	default
a1	5.0
a2	0.1
b1	3.0
b2	2.0
d1	0.4
d2	0.01

Usage

import tsdynamics as ts

sys = ts.HastingsPowell()
traj = sys.integrate(final_time=100.0, dt=0.01)

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