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A note on the use of optimal control on a discrete time model of influenza dynamics
1. | Program in Computational Science, The University of Texas at El Paso, El Paso, TX 79968-0514, United States |
2. | Mathematical, Computational and Modeling Sciences Center, School of Human Evolution and Social Change, Arizona State University, Tempe, AZ 85287 |
3. | Program in Computational Science, Department of Mathematical Sciences, The University of Texas at El Paso, El Paso, TX 79968-0514, United States |
4. | Mathematics, Computational and Modeling Sciences Center, Arizona State University, PO Box 871904, Tempe, AZ 85287 |
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show all references
References:
[1] |
Math. Biosci., 163 (2000), 1-33.
doi: 10.1016/S0025-5564(99)00047-4. |
[2] |
Oxford University Press, Oxford, UK, 1992. Google Scholar |
[3] |
J. Theor. Biol., 253 (2003), 118-130.
doi: 10.1016/j.jtbi.2008.02.026. |
[4] |
Opt. Control Appl. Meth., 21 (2000), 269-285.
doi: 10.1002/oca.678. |
[5] |
Springer-Verlag, 2001. |
[6] |
Math. Biosc. $&$ Eng., 7 (2010), 1-15. Google Scholar |
[7] |
P. Brewer, Economic effects of pandemic flu in a recession, 2009,, http://www.wisebread.com/economic-effects-of-pandemic-flu-in-a-recession., (). Google Scholar |
[8] |
Journal of Optimization Theory and Applications, 19 (1976), 445-454.
doi: 10.1007/BF00941486. |
[9] |
Nonlinear Analysis, 47 (2001), 4753-4762.
doi: 10.1016/S0362-546X(01)00587-9. |
[10] |
in Mathematical Approaches for Emerging and Reemerging Infectious Diseases (eds., C. Castillo-Chavez, et al.), Springer-Verlag, IMA, 125 (2001), 153-163. Google Scholar |
[11] |
M. Chan, World now at the start of 2009 influenza pandemic, 11 Jun. 2009., http://who.int/mediacentre/news/statements/2009/h1n1_pandemic_phase6_20090611/en/index.html, (). Google Scholar |
[12] |
J. Theor. Biol., 241 (2006), 193-204.
doi: 10.1016/j.jtbi.2005.11.026. |
[13] |
J. Roy. Soc. Interface, 4 (2007), 55-66.
doi: 10.1098/rsif.2006.0161. |
[14] |
J. Biol. Dynamics, 1 (2007), 307-393.
doi: 10.1080/17513750701605515. |
[15] |
Theoret. Popul. Biol., 46 (1994), 363394.
doi: 10.1006/tpbi.1994.1032. |
[16] |
Nature, 442 (2006), 448-452.
doi: 10.1038/nature04795. |
[17] |
SIAM Rev, 42 (2000), 599-653.
doi: 10.1137/S0036144500371907. |
[18] |
Journal of Mathematical Analysis and Applications, 243 (2000), 429-452.
doi: 10.1006/jmaa.1999.6679. |
[19] |
Operations Research, 15 (1967), 139-146.
doi: 10.1287/opre.15.1.139. |
[20] |
Mathematical Models and methods in Applied Sciences, 15 (2005), 1519-1531.
doi: 10.1142/S0218202505000856. |
[21] |
Amsterdam: North-Holland, 1991. |
[22] |
J. Theor. Biol., 265 (2010), 136-150.
doi: 10.1016/j.jtbi.2010.04.003. |
[23] |
Chapman & Hall, CRC Mathematical and Computational Biology series, 2007. |
[24] |
Optimization Methods & Software Archive, 22 (2007), 959-969. Google Scholar |
[25] |
Nature, 432 (2004), 904-906.
doi: 10.1038/nature03063. |
[26] |
International Journal of Tourism Policy, 3 (2010), 1-15.
doi: 10.1504/IJTP.2010.031599. |
[27] |
Springer, 2006. |
[28] |
Theor. Pop. Biol., Elsevier, 71 (2007), 20-29. Google Scholar |
[29] |
Wiley, New Jersey, 1962. |
[30] |
Bull. Math. Biol., 72 (2009), 1-33.
doi: 10.1007/s11538-009-9435-5. |
[31] |
Second Edition, Springer, 2000. Google Scholar |
[32] |
Acta Biotheoretica, Springer, 2010. Google Scholar |
[33] |
PLoS ONE, www.plosone.org, 5 (2010).
doi: 10.1371/journal.pone.0009018. |
[34] |
Math. and Computer Modelling, 40 (2004), 1491-1506.
doi: 10.1016/j.mcm.2005.01.007. |
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