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1

Modeling the transmission dynamics of the COVID-19 Pandemic in South Africa

Garba, Salisu M., Lubuma, Jean M-S., Tsanou, Berge

Journal:

Mathematical Biosciences

Year:

2020

File:

PDF, 5.35 MB

2020

2

Contributions to the mathematics of the nonstandard finite difference method and applications

Roumen Anguelov, Jean M.-S. Lubuma

Journal:

Numerical Methods for Partial Differential Equations

Year:

2001

Language:

english

File:

PDF, 253 KB

english, 2001

3

Assessing the impact of the environmental contamination on the transmission of Ebola virus disease (EVD)

Tsanou, Berge, Bowong, Samuel, Lubuma, Jean, Mbang, Joseph

Journal:

Journal of Applied Mathematics and Computing

Year:

2016

Language:

english

File:

PDF, 1.33 MB

english, 2016

4

From enzyme kinetics to epidemiological models with Michaelis–Menten contact rate: Design of nonstandard finite difference schemes

Michael Chapwanya, Jean M.-S. Lubuma, Ronald E. Mickens

Journal:

Computers & Mathematics with Applications

Year:

2012

Language:

english

File:

PDF, 436 KB

english, 2012

5

Stability Analysis and Dynamics Preserving Nonstandard Finite Difference Schemes for a Malaria Model

ANGUELOV, ROUMEN, DUMONT, YVES, LUBUMA, JEAN, MUREITHI, EUNICE

Journal:

Mathematical Population Studies

Year:

2013

Language:

english

File:

PDF, 845 KB

english, 2013

6

Global stability of a two-patch cholera model with fast and slow transmissions

Berge, Tsanou, Bowong, Samuel, Lubuma, Jean M.-S.

Journal:

Mathematics and Computers in Simulation

Year:

2015

Language:

english

File:

PDF, 1.36 MB

english, 2015

7

A monotone scheme for Hamilton–Jacobi equations via the nonstandard finite difference method

Roumen Anguelov, Jean M.-S. Lubuma, Froduald Minani

Journal:

Mathematical Methods in the Applied Sciences

Year:

2010

Language:

english

File:

PDF, 284 KB

english, 2010

8

Solving singularly perturbed advection–reaction equations via non-standard finite difference methods

Jean M.-S. Lubuma, Kailash C. Patidar

Journal:

Mathematical Methods in the Applied Sciences

Year:

2007

Language:

english

File:

PDF, 284 KB

english, 2007

9

Fourier series and integral equation method for the exterior Stokes problem

Jean M.-S. Lubuma

Journal:

Numerical Methods for Partial Differential Equations

Year:

2008

Language:

english

File:

PDF, 269 KB

english, 2008

10

Non-standard methods for singularly perturbed problems possessing oscillatory/layer solutions

Jean M.-S. Lubuma, Kailash C. Patidar

Journal:

Applied Mathematics and Computation

Year:

2007

Language:

english

File:

PDF, 227 KB

english, 2007

11

Uniformly convergent non-standard finite difference methods for self-adjoint singular perturbation problems

Jean M.-S. Lubuma, Kailash C. Patidar

Journal:

Journal of Computational and Applied Mathematics

Year:

2006

Language:

english

File:

PDF, 211 KB

english, 2006

12

Total variation diminishing nonstandard finite difference schemes for conservation laws

Roumen Anguelov, Jean M.-S. Lubuma, Froduald Minani

Journal:

Mathematical and Computer Modelling

Year:

2010

Language:

english

File:

PDF, 583 KB

english, 2010

13

Nonstandard finite difference schemes for Michaelis–Menten type reaction-diffusion equations

Michael Chapwanya, Jean M.-S. Lubuma, Ronald E. Mickens

Journal:

Numerical Methods for Partial Differential Equations

Year:

2012

Language:

english

File:

PDF, 1006 KB

english, 2012

14

[AIP NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2 - Rethymno, Crete (Greece) (18–22 September 2009)] AIP Conference Proceedings - Comparison of Some Standard and Nonstandard Numerical Methods for the MSEIR Epidemiological Model

Anguelov, Roumen, Dumont, Yves, Lubuma, Jean, Shillor, Meir, Simos, Theodore E., Psihoyios, George, Tsitouras, Ch.

Year:

2009

Language:

english

File:

PDF, 953 KB

english, 2009

15

Positivity-preserving nonstandard finite difference schemes for cross-diffusion equations in biosciences

Chapwanya, Michael, Lubuma, Jean M.-S., Mickens, Ronald E.

Journal:

Computers & Mathematics with Applications

Year:

2014

Language:

english

File:

PDF, 871 KB

english, 2014

16

Mathematics of a sex-structured model for syphilis transmission dynamics

B. Gumel, Abba, M.-S. Lubuma, Jean, Sharomi, Oluwaseun, Terefe, Yibeltal Adane

Journal:

Mathematical Methods in the Applied Sciences

Year:

2018

Language:

english

File:

PDF, 1.29 MB

english, 2018

17

Backward bifurcation analysis for two continuous and discrete epidemiological models

Anguelov, Roumen, Dukuza, Kenneth, Lubuma, Jean M.-S.

Journal:

Mathematical Methods in the Applied Sciences

Year:

2018

Language:

english

File:

PDF, 537 KB

english, 2018

18

Mathematical analysis of a spatio‐temporal model for the population ecology of anopheles mosquito

Mann Manyombe, Martin Luther, Mbang, Joseph, Tsanou, Berge, Bowong, Samuel, Lubuma, Jean

Journal:

Mathematical Methods in the Applied Sciences

Year:

2020

Language:

english

File:

PDF, 4.81 MB

english, 2020

19

Dirichlet Problems in Polyhedral Domains I: Regularity of the Solutions

Jean Mbaro-Saman Lubuma, Serge Nicaise

Journal:

Mathematische Nachrichten

Year:

1994

Language:

english

File:

PDF, 771 KB

english, 1994

20

Classical solutions of two-dimensional stokes problems on non-smooth domains. Part 2: Collocation method for the radon equation

Jean Mbaro-Saman Lubuma

Journal:

Mathematical Methods in the Applied Sciences

Year:

1993

Language:

english

File:

PDF, 714 KB

english, 1993

21

Classical solutions of two-dimensional stokes problems on non-smooth domains. Part 1: The radon integral operators

Jean Mbaro-Saman Lubuma

Journal:

Mathematical Methods in the Applied Sciences

Year:

1993

Language:

english

File:

PDF, 1.02 MB

english, 1993

22

Non-standard finite difference schemes for multi-dimensional second-order systems in non-smooth mechanics

Yves Dumont, Jean M.-S. Lubuma

Journal:

Mathematical Methods in the Applied Sciences

Year:

2007

Language:

english

File:

PDF, 1.67 MB

english, 2007

23

Error estimates in projective solutions of the Radon equation

Jean Mbaro-Saman Lubuma

Journal:

Journal of Computational and Applied Mathematics

Year:

1993

Language:

english

File:

PDF, 825 KB

english, 1993

24

Dirichlet problems in polyhedral domains II: Approximation by FEM and BEM

Jean M.-S. Lubuma, Serge Nicaise

Journal:

Journal of Computational and Applied Mathematics

Year:

1995

Language:

english

File:

PDF, 843 KB

english, 1995

25

Towards the implementation of the singular function method for singular perturbation problems

Jean M.-S. Lubuma, Kailash C. Patidar

Journal:

Applied Mathematics and Computation

Year:

2009

Language:

english

File:

PDF, 168 KB

english, 2009

26

Reliable numerical schemes for a linear diffusion equation on a nonsmooth domain

Pius W.M. Chin, Jules K. Djoko, Jean M.-S. Lubuma

Journal:

Applied Mathematics Letters

Year:

2010

Language:

english

File:

PDF, 475 KB

english, 2010

27

Qualitatively stable finite difference schemes for advection–reaction equations

Roumen Anguelov, Jean M.-S. Lubuma, Simon K. Mahudu

Journal:

Journal of Computational and Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 466 KB

english, 2003

28

Finite element method for elliptic problems with edge singularities

Jean M.-S. Lubuma, Serge Nicaise

Journal:

Journal of Computational and Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 185 KB

english, 1999

29

Nonstandard finite difference method by nonlocal approximation

Roumen Anguelov, Jean M.-S. Lubuma

Journal:

Mathematics and Computers in Simulation

Year:

2003

Language:

english

File:

PDF, 226 KB

english, 2003

30

Mathematical modeling of sterile insect technology for control of anopheles mosquito

Roumen Anguelov, Yves Dumont, Jean Lubuma

Journal:

Computers & Mathematics with Applications

Year:

2012

Language:

english

File:

PDF, 518 KB

english, 2012

31

Reliable finite element methods for self-adjoint singular perturbation problems

Lubuma, Jean, Patidar, Kailash

Journal:

Quaestiones Mathematicae

Year:

2009

Language:

english

File:

PDF, 208 KB

english, 2009

32

Non-standard finite-difference methods for vibro-impact problems

Dumont, Yves, Lubuma, Jean M.-S.

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2005

Language:

english

File:

PDF, 3.91 MB

english, 2005

33

An Improved Theta-method for Systems of Ordinary Differential Equations

Lubuma, Jean M.-S., Roux, Alet

Journal:

Journal of Difference Equations and Applications

Year:

2003

Language:

english

File:

PDF, 220 KB

english, 2003

34

[IEEE 2012 IEEE 4th International Symposium on Plant Growth Modeling, Simulation, Visualization and Applications (PMA) - Shanghai, China (2012.10.31-2012.11.3)] 2012 IEEE 4th International Symposium on Plant Growth Modeling, Simulation, Visualization and Applications - Mathematical analysis of vector-borne diseases on plants

Anguelov, Roumen, Lubuma, Jean, Dumont, Yves

Year:

2012

Language:

english

File:

PDF, 1.42 MB

english, 2012

35

Non-Standard Finite-Difference Methods for Vibro-Impact Problems

Yves Dumont and Jean M. S. Lubuma

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2005

Language:

english

File:

PDF, 2.54 MB

english, 2005

36

A nonstandard Volterra difference equation for the SIS epidemiological model

Lubuma, Jean M.-S., Terefe, Yibeltal A.

Journal:

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas

Year:

2015

Language:

english

File:

PDF, 186 KB

english, 2015

37

[AIP NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2 - Rethymno, Crete (Greece) (18–22 September 2009)] AIP Conference Proceedings - Symposium on Properties Preserving Numerical Schemes for Differential Equations

Lubuma, Jean M.-S., Simos, Theodore E., Psihoyios, George, Tsitouras, Ch.

Year:

2009

Language:

english

File:

PDF, 592 KB

english, 2009

38

[AIP NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2 - Rethymno, Crete (Greece) (18–22 September 2009)] AIP Conference Proceedings - Dynamically Consistent Non-Standard Finite Difference Schemes for the MSEIR Epidemiological Model

Anguelov, Roumen, Dumont, Yves, Lubuma, Jean M.-S., Shillor, Meir, Simos, Theodore E., Psihoyios, George, Tsitouras, Ch.

Year:

2009

Language:

english

File:

PDF, 246 KB

english, 2009

39

[World Scientific Publishing Co. Pte. Ltd. Difference Equations and Discrete Dynamical Systems - 9th International Conference - University of Southern California, Los Angeles, California, USA (2004.08.02-2004.08.07)] Difference Equations and Discrete Dynamical Systems - Proceedings of the 9th International Conference - Non-standard Finite Difference Methods for Dissipative Singular Perturbation Problems

Lubuma, Jean M. -S., Patidar, Kailash C.

Year:

2005

Language:

english

File:

PDF, 497 KB

english, 2005

40

Integral equations for elliptic problems with edge singularities and applications to the fourier-boundary element method

Lubuma, Jean M.-S., Nicaise, Serge, Paquet, Luc

Journal:

Numerical Functional Analysis and Optimization

Year:

2000

Language:

english

File:

PDF, 2.64 MB

english, 2000

41

[AIP COMPUTATIONAL METHODS IN SCIENCE AND ENGINEERING: Theory and Computation: Old Problems and New Challenges. Lectures Presented at the International Conference on Computational Methods in Science and Engineering 2007 (ICCMSE 2007): VOLUME 1 - ()] AIP Conference Proceedings - Regularity and Discrete Schemes for the Heat Equation on Non-Smooth Domains

Chin, Pius W. M., Lubuma, Jean M.-S., Patidar, Kailash C., Simos, Theodore E., Maroulis, George

Year:

2007

Language:

english

File:

PDF, 782 KB

english, 2007

42

Continuous and discrete dynamical systems for the declines of honeybee colonies

Lerata, Mataeli B., Lubuma, Jean M-S., Yusuf, Abdullahi A.

Journal:

Mathematical Methods in the Applied Sciences

Year:

2018

Language:

english

File:

PDF, 2.36 MB

english, 2018

43

Modeling pyrethroids repellency and its role on the bifurcation analysis for a bed net malaria model

Tsanou, Berge, Kamgang, Jean-Claude, Lubuma, Jean M.-S., Danga, Duplex E. Houpa

Journal:

Chaos, Solitons & Fractals

Year:

2020

File:

PDF, 1.10 MB

2020

44

Coupling the modeling of phage-bacteria interaction and cholera epidemiological model with and without optimal control

Ndongmo Teytsa, Hyacinthe M., Tsanou, Berge, Bowong, Samuel, Lubuma, Jean

Journal:

Journal of Theoretical Biology

Year:

2020

File:

PDF, 1.09 MB

2020

45

Computational study of three numerical methods for some linear and nonlinear advection-diffusion-reaction problems

Appadu, A.R., Lubuma, Jean M S., Mphephu, N.

Journal:

Progress in Computational Fluid Dynamics An International Journal

Year:

2017

File:

PDF, 846 KB

2017