Abba B. Gumel

According to our database, Abba B. Gumel authored at least 34 papers between 1995 and 2017.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2017

Mathematical assessment of the role of pre-exposure prophylaxis on HIV transmission dynamics.

Lindsay Simpson, Abba B. Gumel

Appl. Math. Comput., 2017

Exogenous re-infection does not always cause backward bifurcation in TB transmission dynamics.

Oluwaseun Sharomi, Mohammad A. Safi, Abba B. Gumel, David J. Gerberry

Appl. Math. Comput., 2017

2016

Visualizing Malaria Spread Under Climate Variability.

Xing Liang, Rajat Aggarwal, Alhaji Cherif, Abba B. Gumel, Giuseppe Mascaro, Ross Maciejewski

Proceedings of the 4th Workshop on Visualisation in Environmental Sciences, 2016

2015

Switching from exact scheme to nonstandard finite difference scheme for linear delay differential equation.

Salisu M. Garba, Abba B. Gumel, Adamu Shitu Hassan, Jean M.-S. Lubuma

Appl. Math. Comput., 2015

Dynamics of an age-structured two-strain model for malaria transmission.

Farinaz Forouzannia, Abba B. Gumel

Appl. Math. Comput., 2015

2014

Dynamics of <i>Mycobacterium</i> and <i>bovine tuberculosis</i> in a Human-Buffalo Population.

Adamu Shitu Hassan, Salisu M. Garba, Abba B. Gumel, Jean M.-S. Lubuma

Comput. Math. Methods Medicine, 2014

2013

Qualitative analysis of an age-structured SEIR epidemic model with treatment.

Mohammad A. Safi, Abba B. Gumel, Elamin H. Elbasha

Appl. Math. Comput., 2013

2012

Threshold dynamics of a non-autonomous SEIRS model with quarantine and isolation.

Mohammad A. Safi, Mudassar Imran, Abba B. Gumel

Theory Biosci., 2012

2011

Dynamically-consistent non-standard finite difference method for an epidemic model.

Salisu M. Garba, Abba B. Gumel, Jean M.-S. Lubuma

Math. Comput. Model., 2011

Mathematical analysis of a disease transmission model with quarantine, isolation and an imperfect vaccine.

Mohammad A. Safi, Abba B. Gumel

Comput. Math. Appl., 2011

Qualitative study of a quarantine/isolation model with multiple disease stages.

Mohammad A. Safi, Abba B. Gumel

Appl. Math. Comput., 2011

2010

Effect of cross-immunity on the transmission dynamics of two strains of dengue.

Salisu M. Garba, Abba B. Gumel

Int. J. Comput. Math., 2010

Mathematical assessment of the role of non-linear birth and maturation delay in the population dynamics of the malaria vector.

Gideon A. Ngwa, Ashrafi M. Niger, Abba B. Gumel

Appl. Math. Comput., 2010

Mathematical Analysis of HIV Treatment Model with Variable Viral Load and Infection Stages.

Oluwaseun Sharomi, Abba B. Gumel

Proceedings of the Modeling Paradigms and Analysis of Disease Trasmission Models, 2010

Preface.

Abba B. Gumel, Suzanne Lenhart

Proceedings of the Modeling Paradigms and Analysis of Disease Trasmission Models, 2010

2009

Qualitative study of transmission dynamics of drug-resistant malaria.

Lourdes Esteva, Abba B. Gumel, Cruz Vargas de León

Math. Comput. Model., 2009

Global dynamics of a two-strain avian influenza model.

Abba B. Gumel

Int. J. Comput. Math., 2009

2008

Curtailing smoking dynamics: A mathematical modeling approach.

Oluwaseun Sharomi, Abba B. Gumel

Appl. Math. Comput., 2008

2006

A second order L0 stable algorithm for evaluating European options.

Ruppa K. Thulasiram, Chen Zhen, Amit Chhabra, Parimala Thulasiraman, Abba B. Gumel

Int. J. High Perform. Comput. Netw., 2006

2004

A Vaccination Model for Transmission Dynamics of Influenza.

Murray E. Alexander, Christopher Bowman, Seyed M. Moghadas, Randy Summers, Abba B. Gumel, Beni M. Sahai

SIAM J. Appl. Dyn. Syst., 2004

A Second Order L₀ Stable Algorithm for Evaluating European Options.

Ruppa K. Thulasiram, Chen Zhen, Abba B. Gumel

Proceedings of the 18th Annual Symposium on High Performance Computing Systems and Applications, 2004

2003

An unconditionally convergent finite-difference scheme for the SIR model.

W. Piyawong, Edward H. Twizell, Abba B. Gumel

Appl. Math. Comput., 2003

Dynamical and numerical analyses of a generalized food-chain model.

Seyed M. Moghadas, Abba B. Gumel

Appl. Math. Comput., 2003

A qualitative study of a vaccination model with non-linear incidence.

Abba B. Gumel, Seyed M. Moghadas

Appl. Math. Comput., 2003

2002

Global stability of a two-stage epidemic model with generalized non-linear incidence.

Seyed M. Moghadas, Abba B. Gumel

Math. Comput. Simul., 2002

Removal of Contrived Chaos in Finite-difference Methods.

Abba B. Gumel

Int. J. Comput. Math., 2002

A competitive numerical method for a chemotherapy model of two HIV subtypes.

Abba B. Gumel

Appl. Math. Comput., 2002

2001

Numerical modelling of the perturbation of HIV-1 during combination anti-retroviral therapy.

Abba B. Gumel, T. D. Loewen, P. N. Shivakumar, Beni M. Sahai, Pei Yu, Mohammad Lawal Garba

Comput. Biol. Medicine, 2001

1997

Parallel L₀-stable Methods for the Multi-dimensional Diffusion Equation.

Abba B. Gumel, Edward H. Twizell, M. A. Arigu

Parallel Algorithms Appl., 1997

Efficient parallel algorithm for the two-dimensional diffusion equation subject to specification of mass.

Abba B. Gumel, Whye-Teong Ang, Edward H. Twizell

Int. J. Comput. Math., 1997

1996

Second-order, <i>L</i>₀-stable methods for the heat equation with time-dependent boundary conditions.

Edward H. Twizell, Abba B. Gumel, M. A. Arigu

Adv. Comput. Math., 1996

1995

Parallel Algorithms for Second-order Hyperbolic Equations.

M. A. Arigu, Edward H. Twizell, Abba B. Gumel

Parallel Algorithms Appl., 1995

Parallel Algorithms for Fourth-order Parabolic Equations.

M. A. Arigu, Edward H. Twizell, Abba B. Gumel

Parallel Algorithms Appl., 1995

Higher-order parallel methods for a model of percutaneous drug absorption.

Abba B. Gumel, Edward H. Twizell, M. A. Arigu, K. Kubota

Int. J. Comput. Math., 1995