Abba Gumel is a Full Professor in the Department of Mathematics and the Director of the Institute of Industrial Mathematical Sciences (IIMS) of the University of Manitoba. He received his Ph.D. from Brunel University (London, England). His main research interests are in (i) Mathematical Biology, (ii) Applied Dynamical Systems and (iii) Computational Mathematics. The main objective of his research work is to use mathematical theories and methodologies to gain insights into the transmission and control dynamics of human diseases of public health interest. He has supervised a number of research students (NSERCfunded summer undergraduate and graduate students) and postdoctoral fellows. Professor Gumel has been the coordinator of the Mathematical Biology Team of the IIMS since its inception in 1999, and represents the University of Manitoba on the Board of Directors of the Fields Institute for Research in Mathematical Sciences, Toronto. Professor Gumel is an active member of the Canadian Applied and Industrial Mathematics Society (CAIMS). In addition to serving on its various committees earlier, Professor Gumel was elected Secretary of CAIMS from 20072009 (he was reelected for a second term: 20092011). Professor Gumel serves on the Outreach Committee of the Society for Mathematical Biology (SMB). Owing to its interdisciplinary nature, Professor Gumels work enjoys fruitful collaborations with mathematical and medical scientists from around the world. Professor Gumel has received the following research awards and honours:
Gumel: Born in Nigeria, received his Ph.D. in Computational Mathematics from Brunel University in England and is now a tenured Associate Professror at the University of Manitoba in Canada. He has been making significant contributions in many areas of Applied Mathematics including:
(1) Mathematical Biology: designing and qualitatively analysing mathematical models for emerging and reemerging infectious diseases, aimed at assessing and determining optimal control strategies for an epidemic.
(2) Nonlinear Dynamical Systems: Designining and using Dynamical Systems theories and tools to investigate the asymptotic dynamical behaviour of some reallife systems which are formulated in the form of deterministic, nonlinear, ordinary differential equation systems.
(3) Computational Mathematics: Gumel's earlier work on Computational Mathematics was based on the design of efficient L_0stable methods, via the use of the method of lines semidiscretization approach, for solving multidimensional partial differential equations. Gumel's main contribution in this area includes the design of a new family of L_0stable methods which enable the solution of secondorder linear parabolic and hyperbolic partial differential equations with or without timedependent source terms to be computed on a parallel architecture, with each processor solving a linear algebraic system at every time step using real arithmetic (as against the computationallyexpensive complex arithmetic which is often required in the process).
In collaboration with Ronald Mickens, Gumel has, over the last few years, being actively involved in the construction and theoretical framework of a new class of finitedifference methods (nonstandard methods) invented by Mickens a few decades ago. This class of methods is highly robust in capturing the asymptotic dynamics of many classes of reallife problems. Gumel has edited a special volume of the Journal of Difference Equations and Applications marking Mickens' 60th Birthday.
In November of 2003, Dr. Gumel was awarded a Young African in Mathematics medal by the AMU and the ICMS.
We should note that Professor Gumel's lecture at CAARMS9 was first rate.
Dr. Gumel has published 36 journal articles.
Journal Publications

A.B. Gumel, S. Ruan, T. Day, J. Watmough, F. Brauer, P. Driesche, D. Gabrielson, C. Bowman, M.E. Alexander, S. Ardal, J. Wu and B.M. Sahai. Modelling strategies for controlling SARS outbreaks. Proceedings of the Royal Society, Series B. 271(2004): 22232232.

M.E. Alexander, C. Bowman, A.B. Gumel, S.M. Moghadas, B.M. Sahai and R. Summers. A vaccination model for transmission dynamics of influenza. SIAM Journal on Applied Dynamical Systems. 3(4)(2004): 503524.

A.B. Gumel, S.M. Moghadas and R.E. Mickens. Effect of a preventive vaccine on the dynamics of HIV transmission. Communications in Nonlinear Science and Numerical Simulations. 9(6)(2004): 649659.

A.B. Gumel, S.M. Moghadas, Y. Yuan and P. Yu. Bifurcation and stability analyses of a 13D SEIC model using normal form reduction and numerical simulations. Dynamics of Continuous, Discrete and Impulsive Systems, Series B. 10(2003): 317330.

C. Zhen, A.B. Gumel and R.E. Mickens. Nonstandard discretizations of the generalized Nagumo reactiondiffusion equation. Numerical Methods for Partial Differential Equations. 19(3)(2003): 363379.

S.M. Moghadas and A.B. Gumel. Dynamical and numerical analyses of a generalized foodchain model. Applied Mathematics and Computation. 142(1)(2003): 3549.

S.M. Moghadas and A.B. Gumel. A mathematical study of a model for childhood diseases with nonpermanent immunity. Journal of Computational and Applied Mathematics. 157(2)(2003): 347363.

A.B. Gumel, R.E. Mickens and B.D. Corbett. A nonstandard finitedifference scheme for a model of HIV transmission and control. Journal of Computational Methods in Sciences and Engineering. 3(1)(2003): 9198.

A.B. Gumel and S.M. Moghadas. A qualitative study of a vaccination model with nonlinear incidence. Applied Mathematics and Computation. 143(23)(2003): 409419.

R.E. Mickens and A.B. Gumel. Construction and analysis of a nonstandard finite difference scheme for the BurgersFisher equation. Journal of Sound and Vibration 257 (4)(2002): 791797.

A.B. Gumel. A competitive numerical method for a chemotherapy model of two HIV subtypes. Applied Mathematics and Computation. 131(23)(2002): 327335.

A.B. Gumel. Removal of contrived chaos in finitedifference methods. International Journal of Computer Mathematics. 79(9)(2002): 10331041.

R.E. Mickens and A.B. Gumel. Numerical study of a nonstandard finitedifference scheme for the van der Pol equation. Journal of Sound and Vibration. 250(5)(2002): 955963.

A.B. Gumel, Xuewu Zhang, P.N. Shivakumar, M.L. Garba and B.M. Sahai. A new mathematical model for assessing therapeutic strategies of HIV infection. Journal of Theoretical Medicine. 4(2)(2002): 147155.

S.M. Moghadas and A.B. Gumel. Global stability of a twostage epidemic model with generalized nonlinear incidence. Mathematics and Computers in Simulation. 60(12)(2002): 107118.

A.B. Gumel. Numerical modelling of the transmission dynamics of drugsensitive and drugresistant HSV2. Communications in Nonlinear Science and Numerical Simulation 6(1)(2001): 2327.

P. Yu and A.B. Gumel. Bifurcation and stability analyses for a coupled Brusselator model. Journal of Sound and Vibration. 244 (5)(2001): 795820.

A.B. Gumel, P.N. Shivakumar and B.M. Sahai. A mathematical model for the dynamics of HIV1 during the typical course of infection. Nonlinear Analysis: Theory, Methods and Applications. 47(3)(2001): 17731783.

W.T. Ang and A.B. Gumel. A boundary integral method for the threedimensional heat equation subject to specification of energy. Journal of Computational and Applied Mathematics. 135 (2)(2001): 303311.

A.B. Gumel, T.D. Loewen, P.N. Shivakumar, B.M. Sahai, P. Yu and M.L. Garba. Numerical modelling of the perturbation of HIV1 during combination antiretroviral therapy. Computers in Biology and Medicine 31(5)(2001): 287301.

A.B. Gumel, E.H. Twizell and P. Yu. Numerical and bifurcation analyses of a population model of HIV chemotherapy. Mathematics and Computers in Simulation. 54, Iss.13 (2000): 169181.

A.B. Gumel, W.F. Langford, E.H. Twizell and J. Wu. Numerical solutions for a coupled nonlinear oscillator. Journal of Mathematical Chemistry 28(4)(2000): 325340.

A.B. Gumel. On the numerical solution of the diffusion equation subject to the specification of mass. Journal of Australian Mathematics Society Series B 40(4)(1999): 475483.

A.B. Gumel Q. Cao and E.H. Twizell. A secondorder scheme for the Brusselator reactiondiffusion system. Journal of Mathematical Chemistry 26(1999): 297316.

A.B. Gumel and E.H. Twizell. Numerical analysis of defects caused by thermolysis in an infinite cylindrical ceramic moulding. Pertanika Journal of Science and Technology. 17(1)(1999): 1324.

A.B. Gumel. Numerical solutions for the canonical escape equation. South East Asian Bulletin of Mathematics. 22(1998): 373380.

A.B. Gumel, K. Kubota and E.H. Twizell. A sequential algorithm for the nonlinear dualsorption model of percutaneous drug absorption. Mathematical Biosciences. 152(1998): 87103.

A.B. Gumel, E.H. Twizell and M.A. Arigu. L_0stable parallel methods for multidimensional heat equation. Parallel Algorithms and Applications 11(1997): 1325.

A.B. Gumel, E.H. Twizell, M.A. Arigu and F. Fakhr. Numerical methods for a nonlinear system arising in chemical kinetics. Pertanika Journal of Science and Technology. 5(2)(1997): 191200.

A.B. Gumel, W.T. Ang and E.H. Twizell. Efficient parallel algorithm for the twodimensional diffusion equation subject to the specification of mass. International Journal of Computer Mathematics. 64 (1+2)(1997): 153163.

E.H. Twizell, A.B. Gumel and M.A. Arigu. Secondorder, L_0stable methods for partial differential equations with timedependent boundary conditions. Advances in Computational Mathematics. 6(34)(1996): 333352.

M.A. Arigu, E.H. Twizell and A.B. Gumel. Sequential and parallel methods for solving firstorder hyperbolic equations. Communications in Numerical Methods in Engineering. 12(1996): 557568.

W.T. Ang and A.B. Gumel. Multiple interacting planar cracks in an inisotropic multilayered medium under an antiplane shear stress: A hypersingular integral approach. Engineering Analysis with Boundary Elements. 2021(1996) 18(Iss.4): 297303.

M.A. Arigu, E.H. Twizell and A.B. Gumel. Parallel algorithms for secondorder hyperbolic equations. Parallel Algorithms and Applications, 5(1995): 119128.

A.B. Gumel, E.H. Twizell, K. Kubota and M.A. Arigu. Higherorder parallel methods for a model of percutaneous drug absorption. International Journal of Computer Mathematics. 56(1995): 123133.

M.A. Arigu, E.H. Twizell and A.B. Gumel. Parallel algorithms for fourthorder parabolic equations. Parallel Algorithms and Applications. 5(1995): 273286.
