-
1
-
-
84919351025
-
-
AMPL (A Mathematical Programming Language). http://www.ampl.com
-
-
-
-
2
-
-
0029821283
-
Control strategies for tuberculosis epidemics: new models for old problems
-
Blower S, Small P, Hopewell P (1996) Control strategies for tuberculosis epidemics: new models for old problems. Science 273:497–500
-
(1996)
Science
, vol.273
, pp. 497-500
-
-
Blower, S.1
Small, P.2
Hopewell, P.3
-
3
-
-
0031154662
-
To treat or not to treat: the case of tuberculosis
-
Castillo-Chavez C, Feng Z (1997) To treat or not to treat: the case of tuberculosis. J Math Biol 35:629–656
-
(1997)
J Math Biol
, vol.35
, pp. 629-656
-
-
Castillo-Chavez, C.1
Feng, Z.2
-
4
-
-
2242486121
-
Mathematical models for the disease dynamics of tuberculosis
-
Horn MA, Simonett G, Webb GF, (eds), Vanderbilt University Press, Nashville:
-
Castillo-Chavez C, Feng Z (1998) Mathematical models for the disease dynamics of tuberculosis. In: Horn MA, Simonett G, Webb GF (eds) Advances in mathematical population dynamics—molecules, cells and man. Vanderbilt University Press, Nashville, pp 117–128
-
(1998)
Advances in mathematical population dynamics—molecules, cells and man
, pp. 117-128
-
-
Castillo-Chavez, C.1
Feng, Z.2
-
6
-
-
7044285767
-
Modeling epidemics of multidrug-resistant M. tuberculosis of heterogeneous fitness
-
Cohen T, Murray M (2004) Modeling epidemics of multidrug-resistant M. tuberculosis of heterogeneous fitness. Nat Med 10:1117–1121
-
(2004)
Nat Med
, vol.10
, pp. 1117-1121
-
-
Cohen, T.1
Murray, M.2
-
7
-
-
34249816150
-
Exogenous re-infection in tuberculosis: local effects in a network model of transmission
-
Cohen T, Colijn C, Finklea B, Murray M (2007) Exogenous re-infection in tuberculosis: local effects in a network model of transmission. J R Soc Interface 4:523–531
-
(2007)
J R Soc Interface
, vol.4
, pp. 523-531
-
-
Cohen, T.1
Colijn, C.2
Finklea, B.3
Murray, M.4
-
8
-
-
0032512283
-
Prospects for worldwide tuberculosis control under the who dots strategy. Directly observed short-course therapy
-
Dye C, Garnett GP, Sleeman K, Williams BG (1998) Prospects for worldwide tuberculosis control under the who dots strategy. Directly observed short-course therapy. Lancet 352:1886–1891
-
(1998)
Lancet
, vol.352
, pp. 1886-1891
-
-
Dye, C.1
Garnett, G.P.2
Sleeman, K.3
Williams, B.G.4
-
10
-
-
1642381862
-
The reinfection threshold promotes variability in tuberculosis epidemiology and vaccine efficacy
-
Gomes M, Franco A, Gomes M, Medley G (2004) The reinfection threshold promotes variability in tuberculosis epidemiology and vaccine efficacy. Proc R Soc B 271:617–623
-
(2004)
Proc R Soc B
, vol.271
, pp. 617-623
-
-
Gomes, M.1
Franco, A.2
Gomes, M.3
Medley, G.4
-
11
-
-
34548708009
-
Implications of partial immunity on the prospects for tuberculosis control by post-exposure interventions
-
Gomes MGM, Rodrigues P, Hilker FM, Mantilla-Beniers NB, Muehlen M, Paulo AC, Medley GF (2007) Implications of partial immunity on the prospects for tuberculosis control by post-exposure interventions. J Theor Biol 248:608–617
-
(2007)
J Theor Biol
, vol.248
, pp. 608-617
-
-
Gomes, M.G.M.1
Rodrigues, P.2
Hilker, F.M.3
Mantilla-Beniers, N.B.4
Muehlen, M.5
Paulo, A.C.6
Medley, G.F.7
-
12
-
-
84919351024
-
-
IPOPT (Interior Point OPTimizer). https://projects.coin-or.org/Ipopt
-
-
-
-
14
-
-
84872389705
-
A theoretical study on mathematical modelling of an infectious disease with application of optimal control
-
Kar TK, Jana S (2013) A theoretical study on mathematical modelling of an infectious disease with application of optimal control. BioSystems 111:37–50
-
(2013)
BioSystems
, vol.111
, pp. 37-50
-
-
Kar, T.K.1
Jana, S.2
-
16
-
-
84872670823
-
Optimal control strategies and cost-effectiveness analysis of a malaria model
-
Okosun KO, Rachid O, Marcus N (2013) Optimal control strategies and cost-effectiveness analysis of a malaria model. BioSystems 111:83–101
-
(2013)
BioSystems
, vol.111
, pp. 83-101
-
-
Okosun, K.O.1
Rachid, O.2
Marcus, N.3
-
18
-
-
84919351023
-
-
PROPT—Matlab Optimal Control Software (DAE, ODE). https://tomdyn.com
-
-
-
-
19
-
-
23744509779
-
TB and HIV in St Petersburg, Russia: a looming catastrophe?
-
Rie AV, Zhemkov V, Granskaya J, Steklova L, Shpakovskaya L, Wendelboe A, Kozlov A, Ryder R, Salfinger M (2005) TB and HIV in St Petersburg, Russia: a looming catastrophe? Int J Tuberc Lung Dis 9:740–745
-
(2005)
Int J Tuberc Lung Dis
, vol.9
, pp. 740-745
-
-
Rie, A.V.1
Zhemkov, V.2
Granskaya, J.3
Steklova, L.4
Shpakovskaya, L.5
Wendelboe, A.6
Kozlov, A.7
Ryder, R.8
Salfinger, M.9
-
20
-
-
33846596636
-
Drug resistance in tuberculosis: a reinfection model
-
Rodrigues P, Rebelo C, Gomes MGM (2007) Drug resistance in tuberculosis: a reinfection model. Theor Popul Biol 71:196–212
-
(2007)
Theor Popul Biol
, vol.71
, pp. 196-212
-
-
Rodrigues, P.1
Rebelo, C.2
Gomes, M.G.M.3
-
21
-
-
84919381995
-
Optimal control and numerical software: an overview
-
Miranda F, (ed), Nova Science, New York:
-
Rodrigues HS, Monteiro MTT, Torres DFM (2014) Optimal control and numerical software: an overview. In: Miranda F (ed) Systems theory: perspectives, applications and developments. Nova Science, New York, pp 93–110
-
(2014)
Systems theory: perspectives, applications and developments
, pp. 93-110
-
-
Rodrigues, H.S.1
Monteiro, M.T.T.2
Torres, D.F.M.3
-
22
-
-
84919351821
-
Optimal control strategies for reducing the number of active infected individuals with tuberculosis
-
Rodrigues P, Silva CJ, Torres DFM (2013) Optimal control strategies for reducing the number of active infected individuals with tuberculosis. In: Proceedings of the SIAM conference on control and its applications (CT13), San Diego, CA, USA, July 8–10, pp 44–50
-
(2013)
Proceedings of the SIAM conference on control and its applications (CT13), San Diego, CA, USA, July
, vol.8-10
, pp. 44-50
-
-
Rodrigues, P.1
Silva, C.J.2
Torres, D.F.M.3
-
23
-
-
84892398225
-
Optimal control strategies for tuberculosis treatment: a case study in Angola
-
Silva CJ, Torres DFM (2012) Optimal control strategies for tuberculosis treatment: a case study in Angola. Numer Algebra Control Optim 2(3):601–617
-
(2012)
Numer Algebra Control Optim
, vol.2
, Issue.3
, pp. 601-617
-
-
Silva, C.J.1
Torres, D.F.M.2
-
24
-
-
84881227998
-
Optimal control for a tuberculosis model with reinfection and post-exposure interventions
-
Silva CJ, Torres DFM (2013) Optimal control for a tuberculosis model with reinfection and post-exposure interventions. Math Biosci 244(2):154–164
-
(2013)
Math Biosci
, vol.244
, Issue.2
, pp. 154-164
-
-
Silva, C.J.1
Torres, D.F.M.2
-
25
-
-
20444401506
-
Rate of reinfection tuberculosis after successful treatment is higher than rate of new tuberculosis
-
Verver S, Warren RM, Beyers N, Richardson M, van der Spuy GD, Borgdorff MW, Enarson DA, Behr MA, van Helden PD (2005) Rate of reinfection tuberculosis after successful treatment is higher than rate of new tuberculosis. Am J Respir Crit Care Med 171:1430–1435
-
(2005)
Am J Respir Crit Care Med
, vol.171
, pp. 1430-1435
-
-
Verver, S.1
Warren, R.M.2
Beyers, N.3
Richardson, M.4
van der Spuy, G.D.5
Borgdorff, M.W.6
Enarson, D.A.7
Behr, M.A.8
van Helden, P.D.9
-
26
-
-
0030719950
-
The natural history of tuberculosis: the implications of age-dependent risks of disease and the role of reinfection
-
Vynnycky E, Fine PE (1997) The natural history of tuberculosis: the implications of age-dependent risks of disease and the role of reinfection. Epidemiol Infect 119:183–201
-
(1997)
Epidemiol Infect
, vol.119
, pp. 183-201
-
-
Vynnycky, E.1
Fine, P.E.2
-
27
-
-
1442276282
-
Patients with active tuberculosis often have different strains in the same sputum specimen
-
Warren RM, Victor TC, Streicher EM, Richardson M, Beyers N, Pittius NCG, Helden PD (2004) Patients with active tuberculosis often have different strains in the same sputum specimen. Am J Respir Crit Care Med 169:610–614
-
(2004)
Am J Respir Crit Care Med
, vol.169
, pp. 610-614
-
-
Warren, R.M.1
Victor, T.C.2
Streicher, E.M.3
Richardson, M.4
Beyers, N.5
Pittius, N.C.G.6
Helden, P.D.7
-
28
-
-
84856067335
-
World Health Organization
-
WHO (2013) Global tuberculosis report 2013. World Health Organization, Geneva. http://www.who.int/tb/publications/global_report/en
-
(2013)
Geneva
-
-
|