TurchinHanski

Systems · Continuous · Chem bio systems

Dimension: 3

Equations

\[ \begin{aligned} \dot{y_{0}} &= - \frac{a y_{0} y_{1}}{d + y_{0}} - \frac{g y_{0}^{2}}{h^{2} + y_{0}^{2}} - r y_{0}^{2} + r y_{0} \left(- e \sin{\left(y_{2} \right)} + 1\right) \\ \dot{y_{1}} &= s y_{1} \left(- e \sin{\left(y_{2} \right)} + 1\right) - \frac{s y_{1}^{2}}{y_{0}} \\ \dot{y_{2}} &= 2 \pi \end{aligned} \]

Parameters

parameter	default
a	8
d	0.04
e	0.5
g	0.1
h	0.8
r	8.12
s	1.25

Usage

import tsdynamics as ts

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

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