Abba B. Gumel

Publication Activity (10 Years)

Years Active: 1995-2017
Publications (10 Years): 5

Top Topics

Qualitative Analysis

Weather Prediction

Top Venues

Appl. Math. Comput.

EnvirVis@EuroVis

Comput. Math. Methods Medicine

Publications

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 (2017)
Lindsay Simpson, Abba B. Gumel
Mathematical assessment of the role of pre-exposure prophylaxis on HIV transmission dynamics. Appl. Math. Comput. 293 (2017)
Xing Liang, Rajat Aggarwal, Alhaji Cherif, Abba B. Gumel, Giuseppe Mascaro, Ross Maciejewski
Visualizing Malaria Spread Under Climate Variability. EnvirVis@EuroVis (2016)
Farinaz Forouzannia, Abba B. Gumel
Dynamics of an age-structured two-strain model for malaria transmission. Appl. Math. Comput. 250 (2015)
Salisu M. Garba, Abba B. Gumel, A. S. Hassan, Jean M.-S. Lubuma
Switching from exact scheme to nonstandard finite difference scheme for linear delay differential equation. Appl. Math. Comput. 258 (2015)
Adamu Shitu Hassan, Salisu M. Garba, Abba B. Gumel, Jean M.-S. Lubuma
in a Human-Buffalo Population. Comput. Math. Methods Medicine 2014 (2014)
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) (2013)
Mohammad A. Safi, Mudassar Imran, Abba B. Gumel
Threshold dynamics of a non-autonomous SEIRS model with quarantine and isolation. Theory Biosci. 131 (1) (2012)
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) (2011)
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) (2011)
Mohammad A. Safi, Abba B. Gumel
Qualitative study of a quarantine/isolation model with multiple disease stages. Appl. Math. Comput. 218 (5) (2011)
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) (2010)
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)
Abba B. Gumel, Suzanne Lenhart
Preface. Modeling Paradigms and Analysis of Disease Trasmission Models (2010)
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) (2010)
Abba B. Gumel
Global dynamics of a two-strain avian influenza model. Int. J. Comput. Math. 86 (1) (2009)
Lourdes Esteva, Abba B. Gumel, Cruz Vargas de León
Qualitative study of transmission dynamics of drug-resistant malaria. Math. Comput. Model. 50 (3-4) (2009)
Oluwaseun Sharomi, Abba B. Gumel
Curtailing smoking dynamics: A mathematical modeling approach. Appl. Math. Comput. 195 (2) (2008)
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) (2006)
Ruppa K. Thulasiram, Chen Zhen, Abba B. Gumel
Stable Algorithm for Evaluating European Options. HPCS (2004)
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) (2004)
Abba B. Gumel, Seyed M. Moghadas
A qualitative study of a vaccination model with non-linear incidence. Appl. Math. Comput. 143 (2-3) (2003)
W. Piyawong, Edward H. Twizell, Abba B. Gumel
An unconditionally convergent finite-difference scheme for the SIR model. Appl. Math. Comput. 146 (2-3) (2003)
Seyed M. Moghadas, Abba B. Gumel
Dynamical and numerical analyses of a generalized food-chain model. Appl. Math. Comput. 142 (1) (2003)
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) (2002)
Abba B. Gumel
Removal of Contrived Chaos in Finite-difference Methods. Int. J. Comput. Math. 79 (9) (2002)
Abba B. Gumel
A competitive numerical method for a chemotherapy model of two HIV subtypes. Appl. Math. Comput. 131 (2-3) (2002)
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) (2001)
Abba B. Gumel, Edward H. Twizell, M. A. Arigu
-stable Methods for the Multi-dimensional Diffusion Equation. Parallel Algorithms Appl. 11 (1-2) (1997)
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) (1997)
Edward H. Twizell, Abba B. Gumel, M. A. Arigu
-stable methods for the heat equation with time-dependent boundary conditions. Adv. Comput. Math. 6 (1) (1996)
M. A. Arigu, Edward H. Twizell, Abba B. Gumel
Parallel Algorithms for Second-order Hyperbolic Equations. Parallel Algorithms Appl. 5 (1-2) (1995)
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) (1995)
M. A. Arigu, Edward H. Twizell, Abba B. Gumel
Parallel Algorithms for Fourth-order Parabolic Equations. Parallel Algorithms Appl. 6 (4) (1995)