control_bio

control_bio, an Octave code which optimizes a given cost functional of a biological model using optimal control, based on work by Suzanne Lenhart and John Workman.

Licensing:

The computer code and data files made available on this web page are distributed under the MIT license

Languages:

control_bio is available in a MATLAB version and an Octave version.

Related Data and Programs:

control_bio_test

Reference:

1. Suzanne Lenhart, John Workman,
   Optimal Control Applied to Biological Models,
   Chapman and Hall, 2007
   LC: QH324.8.L46,
   ISBN: 978-1-58488-640-2
2. https://web.math.utk.edu/~lenhart/mfiles.d/ , a set of MATLAB functions that implement the examples.

Source Code:

• opt01.m, "Introductory Example"
• opt02.m, "Mold and Fungicide"
• opt03.m, "Bacteria"
• opt04.m, "Bounded Case"
• opt05.m, "Cancer"
• opt06.m, "Fish Harvesting"
• opt07.m, "Epidemic Model"
• opt08.m, "HIV Treatment"
• opt09.m, "Bear Populations"
• opt10.m, "Glucose Model"
• opt11.m, "Timber Harvesting"
• opt12.m, "Bioreactor"
• opt13.m, "Predator Prey Model"
• opt14.m, "Invasive Plant Species"

• convergence.m, updates a sequence of convergence tests.
• rk4.m, an RK4 ODE integrator using a fixed stepsize.