In this repository are the python codes used on my master thesis. We have made an adaptation on python code of some examples from [1]
The code structure, for every example, consist on three diferents files:
- a file for the implementation of the model,
- a file for the implementation of the forward-backward sweep method,and
- a file for the simulation and graphics.
[1] S. Lenhart and J.T. Workman. Optimal Control Applied to Biological Models. Chapman & Hall/CRC Mathematical and Computational Biology. CRC Press, 2007. ISBN 9781420011418.
[2] Salinas René A., Lenhart Suzanne, and Gross Louis J. Control of a metapopulation harvesting model for black bears. Natural Resource Modeling, 18(3):307–321. doi: 10. 1111/j.1939-7445.2005.tb00160.x. URL https://onlinelibrary.wiley.com/doi/ abs/10.1111/j.1939-7445.2005.tb00160.x.
[3] Shelly Butler, Denise Kirschner, and Suzzane Lenhart. Optimal control of chemother- apy affecting the infectivity of hiv. Ann Arbor, 1001:48109–0620, 1997.
[4] Eunok Jung, Suzanne Lenhart, and Zhilan Feng. Optimal control of treatments in a two-strain tuberculosis. Discrete and Continuous Dynamical Systems CONTIN DYN SYS-SER B, 2, 11 2002. doi: 10.3934/dcdsb.2002.2.473
[5] John Carl Panetta and Katherine Fister. Optimal control applied to competingchemotherapeutic cell-kill strategies.SIAM Journal of Applied Mathematics, 63:1954–1971, 08 2003. doi: 10.1137/S0036139902413489.