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ORCIDAbba B. Gumel
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- affiliation: Arizona State University, Mathematical, Computational and Modeling Sciences Center
- affiliation: University of Manitoba, Winnipeg, Department of Mathematics
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2010 – 2019
- 2017
[j30]Lindsay Simpson, Abba B. Gumel
:
Mathematical assessment of the role of pre-exposure prophylaxis on HIV transmission dynamics. Appl. Math. Comput. 293: 168-193 (2017)- [j29]Oluwaseun Sharomi, Mohammad A. Safi, Abba B. Gumel, David J. Gerberry:
Exogenous re-infection does not always cause backward bifurcation in TB transmission dynamics. Appl. Math. Comput. 298: 322-335 (2017) - 2016
- [c4]Xing Liang, Rajat Aggarwal, Alhaji Cherif, Abba B. Gumel, Giuseppe Mascaro, Ross Maciejewski:
Visualizing Malaria Spread Under Climate Variability. EnvirVis@EuroVis 2016: 29-33 - 2015
- [j28]Farinaz Forouzannia, Abba B. Gumel:
Dynamics of an age-structured two-strain model for malaria transmission. Appl. Math. Comput. 250: 860-886 (2015) - [j27]Salisu M. Garba, Abba B. Gumel, Adamu Shitu Hassan, Jean M.-S. Lubuma:
Switching from exact scheme to nonstandard finite difference scheme for linear delay differential equation. Appl. Math. Comput. 258: 388-403 (2015) - 2014
- [j26]Adamu Shitu Hassan, Salisu M. Garba, Abba B. Gumel, Jean M.-S. Lubuma:
Dynamics of Mycobacterium and bovine tuberculosis in a Human-Buffalo Population. Comput. Math. Methods Medicine 2014: 912306:1-912306:20 (2014) - 2013
- [j25]Mohammad A. Safi, Abba B. Gumel, Elamin H. Elbasha:
Qualitative analysis of an age-structured SEIR epidemic model with treatment. Appl. Math. Comput. 219(22): 10627-10642 (2013) - 2012
- [j24]Mohammad A. Safi, Mudassar Imran, Abba B. Gumel:
Threshold dynamics of a non-autonomous SEIRS model with quarantine and isolation. Theory Biosci. 131(1): 19-30 (2012) - 2011
- [j23]Mohammad A. Safi, Abba B. Gumel:
Qualitative study of a quarantine/isolation model with multiple disease stages. Appl. Math. Comput. 218(5): 1941-1961 (2011) - [j22]Mohammad A. Safi, Abba B. Gumel:
Mathematical analysis of a disease transmission model with quarantine, isolation and an imperfect vaccine. Comput. Math. Appl. 61(10): 3044-3070 (2011) - [j21]Salisu M. Garba, Abba B. Gumel, Jean M.-S. Lubuma:
Dynamically-consistent non-standard finite difference method for an epidemic model. Math. Comput. Model. 53(1-2): 131-150 (2011) - 2010
- [j20]Gideon A. Ngwa, Ashrafi M. Niger, Abba B. Gumel:
Mathematical assessment of the role of non-linear birth and maturation delay in the population dynamics of the malaria vector. Appl. Math. Comput. 217(7): 3286-3313 (2010) - [j19]Salisu M. Garba, Abba B. Gumel:
Effect of cross-immunity on the transmission dynamics of two strains of dengue. Int. J. Comput. Math. 87(10): 2361-2384 (2010) - [c3]Oluwaseun Sharomi, Abba B. Gumel:
Mathematical Analysis of HIV Treatment Model with Variable Viral Load and Infection Stages. Modeling Paradigms and Analysis of Disease Trasmission Models 2010: 209-247 - [c2]Abba B. Gumel, Suzanne Lenhart:
Preface. Modeling Paradigms and Analysis of Disease Trasmission Models 2010: xi- - [e1]Abba B. Gumel, Suzanne Lenhart:
Modeling Paradigms and Analysis of Disease Trasmission Models, Proceedings of a DIMACS Workshop, South Africa, June, 2007. DIMACS Series in Discrete Mathematics and Theoretical Computer Science 75, DIMACS/AMS 2010, ISBN 978-0-8218-4384-0 [contents]
2000 – 2009
- 2009
- [j18]Abba B. Gumel:
Global dynamics of a two-strain avian influenza model. Int. J. Comput. Math. 86(1): 85-108 (2009) - [j17]Lourdes Esteva, Abba B. Gumel, Cruz Vargas de León:
Qualitative study of transmission dynamics of drug-resistant malaria. Math. Comput. Model. 50(3-4): 611-630 (2009) - 2008
- [j16]Oluwaseun Sharomi, Abba B. Gumel:
Curtailing smoking dynamics: A mathematical modeling approach. Appl. Math. Comput. 195(2): 475-499 (2008) - 2006
- [j15]Ruppa K. Thulasiram, Chen Zhen, Amit Chhabra, Parimala Thulasiraman, Abba B. Gumel:
A second order L0 stable algorithm for evaluating European options. Int. J. High Perform. Comput. Netw. 4(5/6): 311-320 (2006) - 2004
- [j14]Murray E. Alexander, Christopher Bowman, Seyed M. Moghadas, Randy Summers, Abba B. Gumel, Beni M. Sahai:
A Vaccination Model for Transmission Dynamics of Influenza. SIAM J. Appl. Dyn. Syst. 3(4): 503-524 (2004) - [c1]Ruppa K. Thulasiram, Chen Zhen, Abba B. Gumel:
A Second Order L0 Stable Algorithm for Evaluating European Options. HPCS 2004: 17-23 - 2003
- [j13]Seyed M. Moghadas, Abba B. Gumel:
Dynamical and numerical analyses of a generalized food-chain model. Appl. Math. Comput. 142(1): 35-49 (2003) - [j12]Abba B. Gumel, Seyed M. Moghadas:
A qualitative study of a vaccination model with non-linear incidence. Appl. Math. Comput. 143(2-3): 409-419 (2003) - [j11]W. Piyawong, Edward H. Twizell, Abba B. Gumel:
An unconditionally convergent finite-difference scheme for the SIR model. Appl. Math. Comput. 146(2-3): 611-625 (2003) - 2002
- [j10]Abba B. Gumel:
A competitive numerical method for a chemotherapy model of two HIV subtypes. Appl. Math. Comput. 131(2-3): 329-337 (2002) - [j9]Abba B. Gumel:
Removal of Contrived Chaos in Finite-difference Methods. Int. J. Comput. Math. 79(9): 1033-1041 (2002) - [j8]Seyed M. Moghadas, Abba B. Gumel:
Global stability of a two-stage epidemic model with generalized non-linear incidence. Math. Comput. Simul. 60(1-2): 107-118 (2002) - 2001
- [j7]Abba B. Gumel, T. D. Loewen, P. N. Shivakumar, Beni M. Sahai, Pei Yu, Mohammad Lawal Garba:
Numerical modelling of the perturbation of HIV-1 during combination anti-retroviral therapy. Comput. Biol. Medicine 31(5): 287-301 (2001)
1990 – 1999
- 1997
- [j6]Abba B. Gumel, Whye-Teong Ang, Edward H. Twizell:
Efficient parallel algorithm for the two-dimensional diffusion equation subject to specification of mass. Int. J. Comput. Math. 64(1-2): 153-163 (1997) - [j5]Abba B. Gumel, Edward H. Twizell, M. A. Arigu:
Parallel L0-stable Methods for the Multi-dimensional Diffusion Equation. Parallel Algorithms Appl. 11(1-2): 13-25 (1997) - 1996
- [j4]Edward H. Twizell, Abba B. Gumel, M. A. Arigu:
Second-order, L0-stable methods for the heat equation with time-dependent boundary conditions. Adv. Comput. Math. 6(1): 333-352 (1996) - 1995
- [j3]Abba B. Gumel, Edward H. Twizell, M. A. Arigu, K. Kubota:
Higher-order parallel methods for a model of percutaneous drug absorption. Int. J. Comput. Math. 56(1-2): 123-133 (1995) - [j2]M. A. Arigu, Edward H. Twizell, Abba B. Gumel:
Parallel Algorithms for Second-order Hyperbolic Equations. Parallel Algorithms Appl. 5(1-2): 119-128 (1995) - [j1]M. A. Arigu, Edward H. Twizell, Abba B. Gumel:
Parallel Algorithms for Fourth-order Parabolic Equations. Parallel Algorithms Appl. 6(4): 273-286 (1995)
Coauthor Index
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