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Department of Mathematical Sciences

Department of Mathematical Sciences

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Prof EF Doungmo Goufo

Professor | College of Science, Engineering and Technology
School of Science | Department: Mathematical Sciences

Tel: 011 670 9159
Email: dgoufef@unisa.ac.za
Campus: Science Campus
Building: GJ Gerwel building
Office: C638

  • PhD  Applied Maths, North West university, South Africa
  • MSC Applied Maths, UNISA, South Africa

C2

  • Applied Functional Analysis
  • Applied Linear Algebra
  • Mechanics
  • Multivariate Calculus

Research interests

  • Modeling in applied sciences & numerical methods
  • Applied functional analysis & perturbation theory
  • Fractional order derivative & chaos theory  or image processing  
  • Biomathematics, epidemiology and language evolution
  • Differential equations, transport equation, fragmentation-coagulation processes

  • Differential equations (Partial differential equations - PDEs)
  • Fractional calculus (Fractional differential equations - FDEs)
  • Mathematical modeling with PDEs and FDEs
  • Biomathematics, Mathematical Epidemiology
  • Applied functional analysis

  • E.F. Doungmo Goufo and G.M. Moremedi , Mathematical analysis of a differential equation modelling charged elements aggregating in a reletavistic zero magnetic  field , Nonlinear Dynamics and Systems Theory,19(1-SI) (2019) 141–150

  • Doungmo Goufo EF, Tabi CB.  On the chaotic pole of attraction for Hindmarsh-Rose neuron dynamics with external current input, Chaos 29(2):023104

  • Doungmo Goufo EF, Strange attractor existence for non-local operators applied to four-dimensional chaotic systems with two equilibrium points, Chaos. 2019 Feb; 29(2):023117.

  • Emile F. Doungmo Goufo, Development and Elaboration of a Compound Structure of Chaotic Attractors with Atangana–Baleanu Operator: Trends and Applications in Science and Engineering, In book: Fractional Derivatives with Mittag-Leffler Kernel, 2019.

  • Emile F. Doungmo Goufo, Abdon Atangana, Modulating Chaotic Oscillations in Autocatalytic Reaction Networks Using Atangana–Baleanu Operator: Trends and Applications in Science and Engineering, In book: Fractional Derivatives with Mittag-Leffler Kernel, 2019.

  • Abdon Atangana; Emile Franc Doungmo Goufo, The Caputo-Fabrizio fractional derivative applied to a singular perturbation problem, International Journal of Mathematical Modelling and Numerical Optimisation, 2019 Vol.9 No.3

  • Emile F. Doungmo Goufoa, H. M. Tenkam, M.Khumalo, A behavioral analysis of KdVB equation under the law of Mittag–Leffler function, Chaos, Solitons & Fractals, Volume 125, August 2019, Pages 139-145.

  • E. F. Doungmo Goufo, R. Maritz, M. Kamga Pene,  Mathematical & ecological analysis of the effects of petroleum oil droplets braking up and spreading in aquatic environment, International Journal Of Environment And Pollution , vol. 61, No. 1, PP 64-71 2017
  • E.F. Doungmo Goufo and S. Kumar,  Shallow water wave models with and without singular kernel: Existence, uniqueness and similarities,  Mathematical Problems in Engineering, Volume 2017 (2017), Article ID 4609834, 9 pages, https://doi.org/10.1155/2017/4609834
  • E. F. Doungmo Goufo,  Evolution equations with a parameter and  application to transport-convection differential equations, Turkish Journal Of Mathematics, 2016 (The Scientific and Technological Research Council of Turkey, Impact factor 0.348) DOI: 10.3906/mat-1603-107, Available online: 27.06.2016 at http://journals.tubitak.gov.tr/math/accepted.htm

Before 2017

  • E. F. Doungmo Goufo, Stability and convergence analysis of a variable order replicator-mutator process in a moving medium, Journal of Theoretical Biology (Elsevier, impact factor 2.116), Vol. 403, PP. 178–187, 2016, Doi: 10.1016/j.jtbi.2016.05.007. Available online: http://www.sciencedirect.com/science/article/pii/S0022519316300856
  • E. F. Doungmo Goufo, Chaotic processes using the two-parameter derivative with non-singular and non-local kernel: Basic theory and applications, Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 26, No 8, 2016 (American Institute of Physics-AIP, Impact factor 1.954) http://dx.doi.org/10.1063/1.4958921
  • 11.     E. F. Doungmo Goufo, Application of the Caputo-Fabrizio fractional derivative without singular kernel to Korteweg--de Vries--Burgers equation, Mathematical Modelling and Analysis (Taylor & Francis, Impact factor 0.830)), Vol. 21, Issue 2, 188-198,  2016, http://dx.doi.org/10.3846/13926292.2016.1145607.
  • E. F. Doungmo Goufo, A. Atangana , Analytical and numerical schemes for a derivative with filtering property and no singular kernel with applications to diffusion, The European Physical Journal - Plus, 2016 (Springer, Impact factor 1.521), Vol. 131, Issue 8, 2016.  DOI: 10.1140/epjp/i2016-16269-1

  • E. F. Doungmo Goufo, M. Kamga Pene,  S. B. Mugisha,  Stability analysis of epidemic models of Ebola  hemorrhagic fever with non-linear transmission, The Journal of Nonlinear Science and Applications, 2016 (Impact factor 1.176 )  Vol. 9, Issue 6, pp 4191-4205, 2016.
  • E. F. Doungmo Goufo ,  A biomathematical view on the fractional dynamics of cellulose degradation,  Fractional Calculus and Applied Analysis (impact factor 2.246), Vol. 18, No 3, 554--564, 2015. DOI: 10.1515/fca-2015-0034
    • Atangana,  E. F. Doungmo Goufo, A model of the groundwater flowing within a leaky aquifer using the concept of local variable order derivative, Journal of Nonlinear Science and Applications, Vol. 8, No 5, PP. 763-775, 2015

  • E. F. Doungmo Goufo, S. B. Mugisha,  Positivity and contractivity in the dynamics of clusters’ splitting  with derivative of fractional order,  Open Mathematics (previously Central European Journal of Mathematics), vol.13, No 1, 351--362, 2015. DOI:  10.1515/math-2015-0033
  • E. F. Doungmo Goufo, S. B. Mugisha, On analysis of fractional Navier-Stokes equations via nonsingular solutions and approximation, Mathematical Problems in Engineering, vol. 2015, Article ID 212760, 8 pages, 2015. http://dx.doi:10.1155/2015/212760
  • E. F. Doungmo Goufo, A. Atangana,  Extension of fragmentation process in a kinetic-diffusive-wave system, Themal Science, Vol. 19, Suppl. 1, pp. S13-S23, 2015. DOI: 10.2298/TSCI15S1S13D

  • 20. Atangana, E. F. Doungmo Goufo,  Solution of diffusion equation with local derivative with new parameter, Themal Science,  Vol. 19, Suppl. 1, pp. S231-S238, 2015. DOI: 10.2298/TSCI15S1S31A

  • E. F. Doungmo Goufo,   S.C. Oukouomi Noutchie, Global solvability of a continuous and restricted coagulation process in a moving medium, Applied Mathematics & Information Sciences, Vol. 9, No. 5, PP. 2733-2739, 2015
    • E. F. Doungmo Goufo , Riette Maritz,  A note on ebola's outbreak and human migration dynamic, Journal of Human Ecology, Vol 51, No 3, PP. 257-263, 2015

  • E. F. Doungmo Goufo, Morgan Kamga P, Jeanine N. Mwambakana,   Duplication in a model of rock fracture with fractional derivative without singular kernel,  Open Mathematics (previously Central European Journal of Mathematics), vol.13, No 1, 839-846, 2015. DOI:  10.1515/math-2015-0078
  • E. F. Doungmo Goufo (Jointly with Riette Maritz),  Newtonian and non--Newtonian fluids through Permeable Boundaries,  Mathematical Problems in Engineering, vol. 2014, Article ID 146521, 14 pages, 2014.  http://dx.doi.org/10.1155/2014/146521.
  • E. F. Doungmo Goufo (Jointly with Riette Maritz, J. Munganga),   Some properties of Kermack-McKendrick epidemic model with fractional derivative and nonlinear incidence, Advances in Difference Equations 2014,  2014:278.      DOI: 10.1186/1687-1847-2014-278,    URL: http://www.advancesindifferenceequations.com/content/2014/1/278
  • E. F. Doungmo Goufo, "A mathematical analysis of fractional fragmentation dynamics with growth", Journal of Function Spaces , vol. 2014, Article ID 201520, 7 pages, 2014. http://dx.doi.org/10.1155/2014/201520.
  • E. F. Doungmo Goufo,  "Conservativeness in Tobacco Smoke Spread Process", Journal of Human Ecology, volume 47 (Number 1): pp. 1-5 (2014)
  • E. F. Doungmo Goufo (Jointly with A. Atangana), "On the Mathematical Analysis of Ebola hemorrhagic Fever: Deathly infection disease in West African countries",  BioMed Research International, Volume 2014, Article ID 261383 . http://dx.doi.org/10.1155/2014/261383
  • E. F. Doungmo Goufo (Jointly with A. Atangana), "Computational Analysis of the Model Describing HIV Infection of CD4+T Cells",  BioMed Research International, Volume 2014, Article ID 618404, 7 pages, 2014.  http://dx.doi.org/10.1155/2014/618404
  • E. F. Doungmo Goufo (Jointly with  S. B. Mugisha), "Mathematical solvability of a Caputo fractional polymer degradation model using further generalized functions", Mathematical Problems in Engineering, Volume 2014, Article ID 392792, 5 pages, 2014.  http://dx.doi.org/10.1155/2014/392792
  • E. F. Doungmo Goufo (Jointly with  Riëtte Mariz  and  Stella Mugisha), "Existence results for a Michaud fractional, nonlocal and randomly position structured fragmentation model", Mathematical Problems in Engineering Volume 2014, Article ID 361234, 8 pages, 2014, http://dx.doi.org/10.1155/2014/361234
  • E. F. Doungmo Goufo (Jointly with  Suares Clovis Oukouomi Noutchie  and  Stella Mugisha), "A Fractional SEIR Epidemic Model for Spatial and Temporal Spread of Measles in Metapopulations" Abstract and Applied Analysis Volume 2014, Article ID 781028, 6 pages , 2014 http://dx.doi.org/10.1155/2014/781028
  • E. F. Doungmo Goufo (Jointly with Abdon Atangana), "Extension of Match Asymptotic Method to Fractional Boundary Layers Problems" Mathematical Problems in Engineering, Volume 2014, Article ID 107535, 7 pages, 2014.  http://dx.doi.org/10.1155/2014/107535
  • E. F. Doungmo Goufo (Jointly with S. Mugisha and   L. D.  Mogari, "Analysis of the performance of first year students in calculus", International Journal of Engineering Education Vol. 30, No. 5, pp. 1095-1109, 2014
  • E. F. Doungmo Goufo (Jointly with S C Oukouomi Noutchie), "Exact solutions of fragmentation equations with general fragmentation rates and separable particles distribution kernels", Mathematical Problems in Engineering, Volume 2014 (2014), Article ID 789769, 5 pages, http://dx.doi.org/10.1155/2014/789769
  • E. F. Doungmo Goufo, Non-local and Non-autonomous Fragmentation-Coagulation Processes in Moving Media, PhD thesis, North_West University, South Africa, 2014.
  • E F Doungmo Goufo (Jointly with SC Oukouomi Noutchie), Honesty in discrete, nonlocal and randomly position structured  fragmentation model with unbounded rates, Comptes Rendus Mathematique, C.R Acad. Sci, Paris, Ser, I, 2013, pp. 753–759 http://dx.doi.org/10.1016/j.crma.2013.09.023
  • E F Doungmo Goufo (Jointly with SC Oukouomi Noutchie),  "Global Solvability of a Continuous Model for Nonlocal Fragmentation Dynamics in a Moving Medium," Mathematical Problems in Engineering, vol. 2013, Article ID 320750, 8 pages, 2013. http://dx.doi.org/10.1155/2013/320750.
  • E.F. Doungmo Goufo (Jointly with SC Oukouomi Noutchie), Global solvability of a discrete non-local and non-autonomous fragmentation dynamics occurring in a moving process, Abstract and Applied Analysis, 2013. Article ID 484391, 9 pages  http://dx.doi.org/10.1155/2013/484391
  • E F Doungmo Goufo (Jointly with SC Oukouomi Noutchie),  "On the Honesty in Nonlocal and Discrete Fragmentation Dynamics in Size and Random Position," ISRN Mathematical Analysis, vol. 2013, Article ID 908753, 7 pages, 2013. http://dx.doi.org/10.1155/2013/908753.
  • F E Doungmo Goufo (Jointly with SC Oukouomi Noutchie),  “Analysis of the effects of large scale marine iron fertilization”, Journal of Pure and Applied Mathematics: Advances and Applications Volume 8, Number 1,  2012, PP.  25-40
  • E. F. Doungmo Goufo,  A mathematical explanation of the transition between laminar and turbulent flow in newtonian fluids, using the lie groups and finite element methods, MSc thesis, University of South Africa, South Africa, 2007.

 2008 Conference proceedings

  • R Maritz, and E F Doungmo Goufo, A mathematical explanation of the transition from laminar to turbulent flow in newtonian fluids, using the finite element methods, Proceedings Of The 26th SAMSA Conference 25 – 28 November, 2008 Maputo – Mozambique, P.47.

 

  • Editorial board in journals: SpringerPlus (2015 Impact factor: 0.982);   Journal: Non-Linear Dynamics
  • Reviewer for ISI Journals: International Journal of of Biomathematics, Advance in Difference Equations, Applied Mathematical Modeling, Applied Mathematics and Computation,  Chaos, International Journal of Engineering Education,  Neural Computing and Applications , Water South Africa, BioMed Research International, Alexandria Engineering Journal, Abstract and Applied Analysis, International Journal of Engineering Education and Mathematical Problems in Engineering.
  • Reviewer for number of National Research Foundation (NRF) Applications (South Africa). (Rating for academics, research chairs, Thuthuka call). Reviewer for Number of MSc and PhD thesis nationally and internationally;.
  • Selection panel member  at NRF applications for the Thuthuka calls, 2015, 2016, NRF Free Standing Innovation Masters 2017

Grants & Funding support received (so far):

  • Institutional Research Support Bursary No: 23703520, North-West University, PhD level, 2012, 2013, 2014.
  • The South African National research Foundation (NRF): Knowledge, Interchange & Collaboration (KIC) 2015 round 2 No: KIC150914142481
  • Travel and collaboration Grant from International Mathematical Union (IMU) / Simons African Fellowship, Round 1,  2017
  • NRF Grant For 2017: Competitive Support For Unrated Researchers (CSUR) (Reference: CSUR160429163471 Grant No: 105932).

  • Recent applications to signal and image processing via the new non-singular kernel differentiations
  • Numerical methods for the two parameter Goufo derivatives with non-local, non-singular kernel
  • Improving signal and image processing via the differentiation with additional parameters, non-singular kernel and  non-local kernel.
  • Super-attractors for fractional differential problems.