Dynamics of HIV-TB co-infection with detection as optimal intervention strategy

Capone, 2017, On the nonlinear dynamics of an ecoepidemic reaction–diffusion model, Int. J. Nonlinear Mech., 95, 307, 10.1016/j.ijnonlinmec.2017.07.009

Omondi, 2019, A mathematical modelling study of HIV infection in two heterosexual age groups in Kenya, Infect. Dis. Model., 4, 83

Silva, 2019, Stability of a fractional HIV/AIDS model, Math. Comput. Simulation, 164, 180, 10.1016/j.matcom.2019.03.016

Egonmwan, 2019, Analysis of a mathematical model for tuberculosis with diagnosis, J. Appl. Math. Comput., 59, 129, 10.1007/s12190-018-1172-1

Gakkhar, 2012, A dynamical model for HIV-TB co-infection, Appl. Math. Comput., 218, 9261, 10.1016/j.amc.2012.03.004

Kumar, 2018, Assessing the effects of treatment in HIV-TB co-infection model, Eur. Phys. J. Plus, 133, 10.1140/epjp/i2018-12117-8

Roeger, 2009, Modeling TB and HIV co-infections, Math. Biosci. Eng., 6, 815, 10.3934/mbe.2009.6.815

Naresh, 2009, Modelling the effect of tuberculosis on the spread of HIV infection in a population with density-dependent birth and death rate, Math. Comput. Model., 50, 1154, 10.1016/j.mcm.2009.05.033

Bhunu, 2009, Modeling HIV/AIDS and tuberculosis coinfection, Bull. Math. Biol., 71, 1745, 10.1007/s11538-009-9423-9

Kaur, 2014, The role of screening and treatment in the transmission dynamics of HIV/AIDS and tuberculosis co-infection: a mathematical study, J. Biol. Phys., 40, 139, 10.1007/s10867-014-9342-3

Pinto, 2017, The HIV/TB coinfection severity in the presence of TB multi-drug resistant strains, Ecol. Complex., 32, 1, 10.1016/j.ecocom.2017.08.001

Awoke, 2018, Optimal control strategy for TB-HIV/AIDS co-infection model in the presence of behaviour modification, Processes, 6, 48, 10.3390/pr6050048

Mallela, 2016, HIV–TB co-infection treatment: Modeling and optimal control theory perspectives, J. Comput. Appl. Math., 307, 143, 10.1016/j.cam.2016.02.051

Okosun, 2013, Impact of optimal control on the treatment of HIV/AIDS and screening of unaware infectives, Appl. Math. Model., 37, 3802, 10.1016/j.apm.2012.08.004

Agusto, 2014, Optimal control of a two-strain tuberculosis-HIV/AIDS co-infection model, Biosystems, 119, 20, 10.1016/j.biosystems.2014.03.006

Silva, 2015, A TB-HIV/AIDS coinfection model and optimal control treatment, Discrete Contin. Dyn. Syst., 35, 4639, 10.3934/dcds.2015.35.4639

Denysiuk, 2017, Multiobjective optimization to a TB-HIV/AIDS coinfection optimal control problem, J. Comput. Appl. Math., 1

van den Driessche, 2002, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci., 180, 29, 10.1016/S0025-5564(02)00108-6

C. Castillo-Chavez, Z. Feng, W. Huang, On the computation of R0 and its role on global stability, in: Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction (Minneapolis, MN, 1999), IMA Vol. Math. Appl., vol. 125, Springer, New York, pp. 229–250.

Braun, 2008, On the optimal shape of compressed rotating rod with shear and extensibility, Int. J. Nonlinear Mech., 43, 131, 10.1016/j.ijnonlinmec.2007.11.001

Jelicic, 2007, Optimal shape of a vertical rotating column, Int. J. Nonlinear Mech., 42, 172, 10.1016/j.ijnonlinmec.2006.10.020