Prof Salisu M. Garba

Name:       Prof Salisu M. Garba
Position:   Associate Professor
Office Tel: +27(0)124202528; Fax: +27(0)124203893

E-mail:  Salisu.Garba(at)up.ac.za
Research area: Mathematical Biology/Epidemiology

Past postgraduate students (PGS)
1- A.S. Hassan (PhD as co-supervisor)
2- S. Usaini (PhD as co-supervisor)
3- U. Danbaba (MSc)

4- C. Mumba (Honours)

5- C. Mumba (MSc)

6- U. Danbaba (PhD)

7- RM. Lehlogonolo (Honours)

 Current PGS
 

Dept Home Page
 


 
Publications over the last ten years: Journal articles

Garba SM, Gumel AB, Abu Bakar MR. Backward bifurcations in dengue transmission dynamics.  Mathematical Biosciences. 215(1) (2008): 11-25.

Garba SM, Gumel AB.  Effect of cross-immunity on the transmission dynamics of two strains of Dengue.  International Journal of Computer Mathematics, 83(10)(2010): 2361-2384.

Garba SM, Gumel AB.   Mathematical recipe for HIV elimination in Nigeria. Journal of the Nigerian Mathematical Society. 29 (2010): 1-66.

Garba S, Gumel A, Lubuma JM-S.  Dynamically-consistent non-standard finite difference method for an epidemic model.  Mathematical and Computer Modelling. 53 (2011): 131-150.

Imran M, Mohammed TM, Garba SM. Deterministic model for the role of antivirals in controlling the spread of the H1N1 influenza pandemic.  Electronic Journal of Differential Equations. 155 (2011): 1-21.

Safi MA and Garba SM. Global stability analysis of SEIR model with holling type II incidence function. Computational and Mathematical Methods in Medicine. Volume 2012, Article ID 826052, 8 pages. doi:10.1155/2012/826052.

Garba SM, Safi MA and Gumel AB. Cross-immunity-induced backward bifurcation for a model of transmission dynamics of two strains of influenza. Nonlinear Analysis Series B: Real World Applications. 4 (2013): 1384–1403.

Garba SM and Safi MA. Mathematical Analysis of West Nile Virus Model with Discrete Delays. Acta Mathematica Scientia. 33(5) (2013): 1439-1462.

Garba SM, Gumel AB and Hussaini N. Mathematical Analysis of an Age-structured Vaccination Model for Measles. Journal of the Nigerian Mathematical Society. 33(2014), 41-76.

Hassan AS, Garba SM, Gumel A, Lubuma JM-S. Dynamics of mycobacterium and bovine tuberculosis in a human-buffalo population.  Computational and Mathematical Methods in Medicine, 2014, Article ID 912306, 20 pages

Anguelov R, Garba SM, Usaini S. Backward bifurication analysis of epidemic model with partial immunity.  Computers and Mathematics with Applications, 68(2014), 931-940.

Garba SM, Gumel A, Hassan AS, Lubuma JM-S. Switching from exact scheme to nonstandard finite difference scheme for linear delay differential equation.  Applied Mathematics and Computation, 258(2015), 388-403.

Usaini S, Anguelov R, Garba SM. Dynamics of SI epidemic with a demographic Allee effect. Theoretical Population Biology. 106(2015), 1–13.

Usaini S, Lloyd A, Anguelov R, Garba SM. Dynamical behavior of an epidemiological model with a demographic Allee effect. Mathematics and Computers in Simulation 133(2017), 311–325.

Garba SM, Safi MA, Usaini S. Mathematical model for assesing the impact of vaccination and treatment on measles transmission dynamics. Math Meth Appl Sci. 40(2017) 6371–6388.

Garba SM, Mumba CK. Mathematical Modelling for the transmission dynamics of Trichomonas Vaginalis (TV) and HIV. Mathematical Methods in the Applied Sciences 41(2018) 8741-8764.

Danbaba UA, Garba SM. Modeling the transmission dynamics of Zika with sterile insect technique. Mathematical Methods in the Applied Sciences 41(2018) 8871-8896.

Garba SM, Garba DL, Gumel AB, Sharomi O. Mathematics of FIV and BTB Dynamics in Buffalo and Lion Populations at Kruger National Park. Mathematical Methods in the Applied Sciences 41(2018) 8697-8723.

Usaini S, Hassan AS, Garba SM and Lubuma JM-S. Modeling the transmission dynamics of the Middle East Respiratory Syndrome Coronavirus (MERS-CoV) with latent immigrants. Journal of Interdisciplinary Mathematics. 22(6) (2019) 903-930.

Danbaba UA and Garba SM. Stability analysis and optimal control for yellow fever model with vertical transmission. International Journal of Applied and Computational Mathematics. (2020). doi: https://doi.org/10.1007/s40819-020-00860-z. 

 Garba SM, Lubuma JM-S and Tsanou B. Modeling the transmission dynamics of the COVID-19 Pandemic in South Africa, 328(2020) 108441 1-14, doi: https://doi.org/10.1016/j.mbs.2020.108441. 

Garba SM and Danbaba UA. Modeling the effect of temperature variability on malaria control strategies. (2020) Mathematical Modelling of Natural Phenomena. To appear.

 

 

 

 

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