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Department of Mathematics and Applied Mathematics

Recent Publications (2012, 2013 and 2014)

Open Access version of Articles

Journal articles  

2014

Anguelov R, Dumont Y, Lubuma JM-S, Shillor M  Dynamically consistent nonstandard finite difference schemes for epidemiological models.  Journal of Computational and Applied Mathematics, 255(2014), 161-182

Appadu R  Optimized low dispersion and low dissipation Runge-Kutta algorithms in computational aeroacoustics.  Applied Mathematics & Information Sciences, 8(1)(2014), 57-68

Appadu AR  Applications and spectral analysis of some optimized high order low dispersion and low dissipation schemes.  Applied Mathematics & Information Sciences, 8(3)(2014), 993-1001

Broere I, Heidema J  Induced-hereditary graph properties, homogeneity, extensibility and universality.  Journal of Combinatorial Mathematics and Combinatorial Computing, 85(2013), 353-363

Djoko Kamdem J  On the time approximation of the Stokes equations with nonlinear slip boundary condition.  International Journal of Numerical Analysis and Modeling, 11(1)(2014), 34-53

Sango M  Homogenization of stochastic semilinear parabolic equations with non Lipschitz forcings in domains with fine grained boundaries.  Communications in Mathematical Sciences, 12(2)(2014), 343-380

Abbas M, Ali B, Mishra SN  Fixed point of multivalued Suzuki-Zamfirescu (f, g) - contraction mappings.  Matematicki Vesnik, 21(2014), 58-72

Tookos F, Jordaan K  Orthogonality and asymptotics of Pseudo-Jacobi polynomials for non-classical parameters.  Journal of Approximation Theory 178(2014), 1-12

Ntumba PP, Yizengaw BY  On the commutativity of the Clifford and “extension of scalars” functions.  Topology and its Applications, 168(2014), 159-179

Basson M, De Villiers M, Van Rensburg NFJ  Solvability of a model for the vibration of a beam with a damping tip body.  Journal of Applied Mathematics, (2014), Article ID 298092, 7 pages (electronic article)

Le Roux C  On flows of viscoelastic fluids of Oldroyd type with wall slip.  Journal of Mathematical Fluid Mechanics, 16(2014), 335-350

Djoko Kamdem J, Razafimandimby PA  Analysis of the Brinkman-Forchheimer equations with slip boundary conditions.  Applicable Analysis, 93(7)(2014), 1477-1494

Garba SM, Gumel AB, Hussaini N  Mathematical analysis of an age-structured vaccination model for measles.  Journal of the Nigerian Mathematical Society (JNMS), 33(2014), 41-76

Mutangadura S  Convergence of Ishikawa iterations on noncompact sets.  Quaestiones Mathematicae, 37(2014), 191-198

Jooste A, Jordaan K  Bounds for zeros of Meixner and Kravchuk polynomials.  LMS Journal of Computation and Mathematics, 17(1)(2014), 47-57

Jordaan K, Wang H, Zhou J  Monotonicity of zeros of polynomials orthogonal with respect to an even weight function.  Integral Transforms and Special Functions, 25(9)(2014), 721-729

2013

Abbas M, Ali B,  Romaguera S  Fixed and periodic points of generalized contraction in metric spaces.  Fixed Point Theory and Applications, 2013, 2013:243

Abbas M, Nazir T, Radenovic S  Common fixed point of power contraction mappings satisfying (E. A) property in generalized metric spaces.  Applied Mathematics and Computation, 219(2013), 7663-7670

Abbas M, Berzig M  Global attractivity results on complete ordered metric spaces for third-order difference equations.  International Journal of Analysis, (2013), Article ID 486357, 12 pages

Abbas M, Nazir T, Gopal D  Common fixed point results for generalized cyclic power contraction mappings.  Afrika Matematika, (2013) DOI 10.1007/s13370-013-0206-y

Abbas M, Cojbašic Rajic V,•Nazir T,•Radenovic S  Common fixed point of mappings satisfying rational inequalities in ordered complex valued generalized metric spaces.  Afrika Matematika, (2013) DOI 10.1007/s13370-013-0185-z, 14 pages

Abbas M, Ali B  Suzuki type fixed point theorem for fuzzy mappings in ordered metric spaces.  Fixed Point Theory and Applications, 2013:9, 13 pages

Abbas M, Ali B, Vetro C  A Suzuki type fixed point theorem for a generalized multivalued mapping on partial Hausdorff metric spaces.  Topology and its Applications, 3(15)(2013), 553-563

Abbas M, Nazir T, Radenovic S  Common coupled fixed points of generalized contractive mappings in partially ordered metric spaces.  Positivity, 17(2013), 1021-1041

Aydi H, Abbas M, Vetro C  Common Fixed points for multivalued generalized contractions on partial metric spaces, RACSAM, (2013), DOI 10.1007/s13398-013-0120-z, 19 pages

Anguelov R, Dumont Y, Lubuma JM-S, Mureithi EW  Stability analysis and dynamics preserving nonstandard finite difference schemes for a malaria model.  Mathematical Population Studies, 20(2013), 101-122

Anguelov R, Van der Walt JH  Algebraic and topological structure of some spaces of set-valued maps.  Computers and Mathematics with Applications, 66(2013), 1643-1654

Appadu AR, Peer AAI  Optimized weighted essentially non-oscillatory third order schemes for hyperbolic conservation laws.  Journal of Applied Mathematics, (2013), Article ID 428681, 12 pages (electronic article)

Appadu R  Numerical solution of the 1-D advection-diffusion equation using standard and nonstandard finite difference schemes.  Journal of Applied Mathematics, (2013), Article ID 734374, 14 pages electronic article

Appadu AR, Gidey HH  Time splitting procedures for the numerical solution of the 2D Advection-Diffusion Equation.  Mathematical Problems in Engineering, (2013), Article ID 634657, 20 pages electronic article

Basson M, Van Rensburg NFJ  Galerkin finite element approximation of general linear second order hyperbolic equations.  Numerical Function Analysis and Optimization, 34(9)(2013), 976-1000

Broere I, Heidema J  Universality for and in induced-hereditary graph properties.  Discussiones Mathematicae Graph Theory, 33(2013), 33-47

Broere I, Heidema J  Universal H-colourable graphs.  Graphs and Combinatorics, 29(2013), 1193-1206

Broere I, Heidema J and Mihók P  Universality in graph properties with degree restrictions.  Discussiones Mathematicae Graph Theory, 33(2013), 477-492

Broere I, Dorfling MJ  The property of k-colourable graphs is uniquely decomposable.  Discrete Mathematics, 313(2013), 1961-1964

Chapwanya M, Lubuma JM-S, Mickens RE  Nonstandard finite difference schemes for Michaelis-Menten type reaction-diffusion equations.  Numerical Methods for Partial Differential Equations, 29(1)(2013), 337-360

Chin PWM  Optimal rate of convergence for a non-standard finite difference Galerkin method applied to wave equation problems.  Journal of Applied Mathematics, (2013), Article ID 520219, 9 pages electronic article

Dankelmann P, Vetrik T  The degree-diameter problem for claw-free graphs and hypergraphs.  Journal of Graph Theory, (2013), 105-123 

Deugoue G  Approximation of the trajectory attractor of the 3D MHD system.  Communications on Pure and Applied Analysis, 12(5)(2013), 2119-2144

Djoko Kamdem J  Discontinuous Galerkin finite element discretization for steady Stokes flows with threshold slip boundary condition.  Quaestiones Mathematicae, 36(2013), 501-506

Djoko Kamdem J, Mohamed M   Finite element analysis for Stokes and Navier-Stokes equations driven by threshold slip boundary conditions.  International Journal for Numerical Analysis and Modeling (IJNAM) Series B, 4(3)(2013), 235-255

Dominici D, Johnson SJ, Jordaan K, Real zeros of 2F1 hypergeometric polynomials.  Journal of Computational and Applied Mathematics, 247(2013), 152-161

Driver K, Jordaan K  Inequalities for extreme zeros of some classical orthogonal and q-orthogonal polynomials.  Mathematical Modelling of Natural Phenomena: Harmonic Analysis, 8(1)(2013), 48-59

Dufourd C, Dumont Y  Impact of environmental factors on mosquito dispersal in the prospect of sterile insect technique control.  Computers and Mathematics with Applications, 66(2013), 1695-1715

Dufourd C, Weldon V, Anguelov R, Dumont Y  Parameter identification in population models for insects using trap data, Biomath 2(2)(2013), Article ID 1312061, 10 pages

Garba SM, Safi MA, Gumel AB  Cross-immunity-induced backward bifurcation for a model of transmission dynamics of two strains of influenza.  Nonlinear Analysis-Real World Applications, 14(2013), 1384-1403

Garba SM, Safi MA  Mathematical analysis of West Nile virus model with discrete delays.  Acta Mathematica Scientia, 33B(5)(2013), 1439-1462

Gochhayat P  Convolution properties of p-valent functions associated with a generalization of the Srivastava-Attiya operator.  Journal of Complex analysis, (2013), ID 676027, 4 pages electronic article

Greeff JC, Van der Hoff Q, Kloppers PH  Numerical investigation into the existence of limit cycles in two-dimensional predator-prey systems.  South African Journal of Science, 109(5/6)(2013), 1-6

Grobler TL, Ackermann ER, Van Zyl AJ, Olivier JC, Kleynhans W, Salmon B  An inductive approach to simulating multispectral MODIS surface reflectance time series.  IEEE Geoscience and Remote Sensing Letters, 10(3)(2013), 446-450 
 
Grobler TL, Ackermann ER, Van Zyl AJ, Olivier JC, Kleynhans W, Salmon B  Using Page’s Cumulative Sum Test on MODIS time series to detect land cover changes.  IEEE Geoscience and Remote Sensing Letters, 10(2)(2013), 332-336

Hausenblas E, Razafimandimby PA, Sango M  Martingale solution to equations for differential type fluids of grade two driven by random force of Lévy type.  Potential Analysis, 38(2013), 1291-1331

Jooste A, Jordaan K, Toókos F  On the zeros of Meixner polynomials.  Numerische Mathematik, 124(2013), 57-71 

Khan AR, Abbas M, Ali B  Tripled coincidence and common fixed point theorems for hybrid pair of mappings, Creative Mathematics and Informatics, 22(1)(2013), 53-64

Khrennikov A, Shelkovich V, Van der Walt JH  Measure-free viewpoint on p-adic and adelic wavelets.  p-Adic and Ultrametric Analysis and its Applications, 5(3)(2013), 204-217

Khrennikov AY, Shelkovich VM, Van der Walt JH  Adelic multiresolution analysis construction of wavelet bases and pseudo-differential operators.  Journal of Fourier Analysis and Applications, 19(6)(2013), 1323-1358

Le Roux C, Rajagopal KR  Shear flows of a new class of power-law fluids.  Applications of Mathematics, 58(2)(2013), 153-177

Mallios A, Ntumba PP  On extending A-modules via the coefficients.  Mediterranean Journal of Mathematics, 10(2013), 73-89

Maré E, Holdsworth C  The importance of US real yields for relative equity performance.  The South African Treasurer: Special issue on Challenges in Treasury – an Outlook on Africa (TMI Special report), 2013, 21-22

Maré E, Du Preez P  A new method for Interpolating yield curve data, with applications to the South African market.  South African Journal for Economic and Management Science (SAJEMS NS), 16(4)(2013), 395-406

Mishra AK, Gochhayat P  Differential sandwich theorems for functions of associated with a generalization the Srivastava-Attiya operator.  Pan American Mathematical Journal, 23(1)(2013), 25-43

Mofolo-Mbokane B, Engelbrecht JC, Harding A  Learning difficulties with solids of revolution: classroom observations.  International Journal of Mathematical Education in Science and Technology, 44(7)(2013), 1065-1080

Mustafa Z, Parvaneh V, Abbas, M, Roshan JR  Some coincidence point results for generaized (ψ, φ)-weakly contractive mappings in ordered G-metric spaces.  Fixed Point Theory and Applications, 326(2013), 23 pages

Van der Walt JH  The order completion method for system of nonlinear PDEs: Solutions of initial value problems.  Abstract and Applied Analysis, (2013), Article ID 739462, 12 pages electronic article

Van der Walt JH  The linear space of Hausdorff continuous interval functions.  Biomath 2(2)(2013), Article ID 1311261, 6 pages

Vetrik T  Cayley graphs of given degree and diameters 3, 4 and 5.  Discrete Mathematics, 313 (2013), 213-216

Dankelmann P, Vetrik T  The degree-diameter problem for claw-free graphs and hypergraphs.  Journal of Graph Theory, (2013), 105-123

Raftery JG  Inconsistency lemmas in algebraic logic.  Mathematical Logic Quarterly, 59(6)(2013), 393-406

Sango M  Splitting-up scheme for nonlinear stochastic hyperbolic equations.  Forum Mathematicum, 25(2013), 931-965

Tadmon C  The Goursat problem for the Einstein-Vlasov system: (II) The evolution of initial data.  Comptes Rendus Mathématiques de l'Académie des Sciences. Paris, Serie 1 (C .R. Acad. Sci. Paris, Ser 1), 351(2013), 277-280

2012

Ackermann ER, Grobler TL, Kleynhans W, Olivier JC, Salmon BP, Van Zyl AJ  Cavalieri integration.  Quaestiones Mathematica, 35(2012), 265-296

Anguelov R, Dumont, Y, Lubuma JM-S  Mathematical modeling of sterile insect technology for control of anopheles mosquito.  Computers and Mathematics with Applications, 64(2012), 374-389

Appadu AR The technique of MIEELDLD in computational aeroacoustics.  Journal of Applied Mathematics, (2012), Article ID 783101, 30 pages electronic article

Appadu AR  A note on the shock-capturing properties of some explicit and implicit schemes for solving the 1-D linear advection equation.  International Journal of Applied Mathematics and Mechanics, 8(1)(2012), 1-28

Appadu AR  Comparison of some optimisation techniques for numerical schemes discretising equations with advection terms.  International Journal of Innovative Computing and Applications, 4(1)(2012), 12-27

Brettschneider H, Anguelov R, Chimimba CT, Bastos ADS  A mathematical epidemiological model of gram-negative Bartonella bacteria: does differential ectoparasite load fully explain the differences in infection prevalence of Rattus rattus and Rattus norvegicusJournal of Biological Dynamics, 6(2)(2012), 763-781

Chapwanya M, Lubuma JM-S, Mickens RE  From enzyme kinetics to epidemiological models with Michaelis-Menton contact rate: Design of nonstandard finite difference schemes.  Computers and Mathematics with Applications, 64(2012), 201-213

Cheng L, Ferreira HC, Broere I  Moment balancing templates for (d,k) constrained codes and run-length limited sequences.  IEEE Transactions on Information Theory 58(4)(2012), 2244-2252

Deugoue G, Razafimandimby, PA, Sango, M  On the 3-D stochastic magnetohydrodynamic-α model.  Stochastic Processes and their Applications, 122(2012), 2211-2248

Djoko JK, Reddy BD  Existence results for a polymer melt with an evolving natural configuration.  Mathematical Models & Methods in Applied Sciences, 22(1)(2012), ID 1150004, 37 pages electronic article

Driver K, Jordaan KH  Bounds for extreme zeros of some classical orthogonal polynomials.  Journal of Approximation Theory, 164(2012), 1200-1204

Engelbrecht JC, Bergsten C, Kågesten O  Conceptual and procedural approaches to mathematics in the engineering curriculum: Student conceptions and performance.  Journal of Engineering Education, 101(1)(2012), 138-162

Gochhayat P  Sandwich-type theorems of some subclasses of multivalent functions involving Dziok-Srivastava operator.  Acta Universitatis Apulensis, 32(2012), 31-47

Grobler TL, Van Zyl AJ, Olivier JC, Kleynhans W, Salmon BP, Penzhorn WT  Wu’s algorithm and its possible application in cryptanalysis.  African Journal of Mathematics and Computer Science Research, 5(1)(2012), 1-8

Grobler TL, Ackermann ER, Olivier JC, van Zyl AJ, Kleynhans W  Land cover separability analysis of MODIS time series data using a combined simple harmonic oscillator and a mean reverting stochastic process.  IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 5(3)(2012), 857-866

Harding AF, Engelbrecht JC  Navorsing oor voorgraadse wiskundeonderrig: ’n Suid-Afrikaanse perspektief.  Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie, 31(1)(2012), 1-7

Holdsworth C, Maré E  Currency management in the new economy: Some explanations for USD/ZAR movements.  The South African Treasurer: Special issue on Managing Treasury in the New Economy (TMI Special report), 2012, 12-15

Khrennikov AY, Rosinger EE, Van Zyl AJ  Graded tensor products and the problem of tensor grade computation and reduction.  p-Adic Numbers, Ultrametric Analysis and Applications, 4(1)(2012), 20-26

Myburgh HC, Olivier JC, Van Zyl AJ  Reduced complexity turbo equalization using a dynamic Bayesian network.  EURASIP Journal on Advances in Signal Processing, 136(2012), 1-20

Ntumba PP  Cartan’s proof for Darboux theorem in A-modules.  Quaestiones Mathematicae, 35(2012), 259-264

Ntumba PP  The symplectic Gram-Schmidt theorem and fundamental geometries for A-modules.  Czechoslovak Mathematical Journal, 62(137)(2012), 265-278

Ntumba PP  Clifford A-algebras of quadratic A-modules.  Advances in Applied Clifford Algebras, 22 (2012), 1093-1107

Razafimandimby PA, Sango M  Strong solution for a stochastic model of two-dimensional second grade fluids: Existence, uniqueness and asymptotic behaviour.  Nonlinear Analysis-Theory Methods & Applications, 75(2012), 4251-4270

Razafimandimby PA, Sango M, Woukeng JL  Homogenization of a stochastic nonlinear reaction-diffusion equation with a large reaction term: the almost periodic framework.  Journal of Mathematical Analysis and Applications, 394(2012), 186-212

Razafimandimby PA, Sango M  Convergence of a sequence of solutions of the stochastic two-dimentional equations of second grade fluids.  Asymptotic Analysis, 79(2012), 251-272

Razafimandimby PA, Sango M  On the exponential behaviour of stochastic evolution equations for Non-Newtonian fluids.  Applicable Analysis, 91(2)(2012), 2217-2233

Safi MA, Garba SM  Global stability analysis of SEIR model with Holling type II incidence function.  Computational and Mathematical Methods in Medicine, (2012) Article ID 826052, 8 pages electronic article

Sieberhagen RH, Van Rensburg NFJ  Tracking a sharp crested wave front in hyperbolic heat transfer.  Applied Mathematical Modelling, 36(2012), 3399-3410

Tadmon C, Tchapnda SB  On the spherically symmetric Einstein-Yang-Higgs equations in Bondi coordinates.  Proceedings of the Royal Society A (Proc. R. Soc. A), 468(2012), 3191-3214

Van der Walt JH  Convergence of sequences of semi-continuous functions.  Journal of Mathematical Analysis and Applications, 388(2012), 739-752

Wood L, Mather G, Petocz P, Reid A, Engelbrecht J, Harding A, Houston K, Smith G, Perrett G  University students’ views of the role of mathematics in their future.  International Journal of Science and Mathematics Education, 10(1)(2012), 99-119
 
Books / Chapters in Books

2014

Lubuma J, Mureithi E and Terefe Y  Nonstandard discretizations of the SIS epidemiological model with and without diffusion. In: A Gumel (editor), Mathematics of Discrete and Continuous Dynamical Systems, AMS Contemporary Mathematics book series. Volume in honour of Ronald E Mickens' 70th birthday, American Mathematical Society 2014, Vol 618, pp 113-132, ISBN: 978-0-8218-9862-8, 978-1-4704-1686-7

2013

Tadmon C  Sur les équations d'Einstein-Yang-Mills-Higgs:  Problème de Cauchy dans un domaine délimité par deux hypersurfaces caractéristiques sécantes.  Editions Universitaires Européennes (EUE), AV Akademikerverlag GmbH & Co. KG, Saarbrücken 2013, (133 pp), ISBN: 978-3-8381-8631-3

Conference Proceedings

2013

Van der Walt JH  Applications of convergence spaces to Vector Lattice Theory.  In J Dydak, R Geoghegan, G Gruenhage, J Kennedy, P Minc, D Shakhmatov, P Szeptycki, m Tuncali (eds), Topology Proceedings, (New York, USA), Topology Proceedings, 2013, (2013), pp 311-331, ISSN 0146-4124

Lubuma JM-S, Mickens RE  Diffusion versus cross diffusion in Biosciences: challenges in designing nonstandard finite difference schemes.  In RJ Daverman, G Benkart, ML Lapidus, M Miller and SH Weintraub (editors), Abstracts of papers presented to the American Mathematical Society (AMS), (San Diego, USA), American Mathematical Society, 2013, 34(1)(171)(2013), pp 265, ISSN: 0192-5857

Chapwanya M, Lubuma JM-S  An Operator splitting method for the advection diffusion reaction equation for problems in porous flow.  In TE Simos, G Psihoyios and Ch Tsitouras (editors), Proceedings of the International Conference of Numerical Analysis and Applied Mathematics 2013 (ICNAAM 1013), (Rhodes, Greece), American Institute of Physics – AIP Conference Proceedings 1558, 2013, pp 253-256, ISBN: 978-0-7354-1184-5

Chin PWM  The qualitative behavior of the solution of the wave equation using the non-standard finite difference and Galerkin methods.  TE Simos, G Psihoyios and Ch Tsitoras (editors), Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 1013), (Rhodes, Greece), American Institute of Physics - AIP-Conference Proceedings 1558, 2013, pp 387-390, ISBN 978-0-7354-1184-5

2012

Anguelov R, Plaskitt-Rotelli I  Locally monotone approximations of real functions ob graphs.  In G Nikolov and R Uluchev (eds), Proceedings of Constructive Theory of Functions, (Sozopol, Bulgaria), Marin Drinov Academic Publishing House, 2012, pp 21-29

Khrennikov A, Rosinger EE  Extended tensor products and generalization of the notion of entanglement.  In M D'Ariano, F Shao-Ming, E Haven, BC Hiesmayr, AY. Khrennikov and J Larsson (eds), Foundations of Probability and Physics-6, (Växjö, Sweden), American Institute of Physics - AIP Conference Proceedings 1424, 2012, pp 176 -188, ISBN-10: 0735410046, ISBN-13: 978-0735410046

Khrennikov A, Rosinger EE, Van Zyl AJ  Graded tensor products and entanglement.  In M D'Ariano, F Shao-Ming, E Haven, BC Hiesmayr, AY. Khrennikov and J Larsson (eds), Foundations of Probability and Physics-6, (Växjö, Sweden), American Institute of Physics - AIP Conference Proceedings 1424, 2012, pp 189 - 194, ISBN-10: 0735410046, ISBN-13: 978-0735410046

Rosinger EE A few remarks on microscopes and telescopes for theoretical physics:  How rich locally and large globalle is the geometric straight line?  In M D'Ariano, F Shao-Ming, E Haven, BC Hiesmayr, AY. Khrennikov and J Larsson (eds), Foundations of Probability and Physics-6, (Växjö, Sweden), American Institute of Physics - AIP Conference Proceedings 1424, 2012, pp 317 - 323, ISBN-10: 0735410046, ISBN-13: 978-0735410046

Anguelov R, Dumont Y, Lubuma JM-S  On non-standard finite difference schemes in Biosciences.  In MD Todorov (editor), Proceedings of the 4th International Conference on Application of Mathematics in Technical and Natural Sciences (AMiTaNS’11), (St Constantine and Helena, Bulgaria), American Institute of Physics – AIP Conference Proceedings 1487, 2012, pp 212-223, ISBN: 978-0-7354-1099-2

Anguelov R, Fabris-Rotelli I  On the axiomatization of Scale-Space Theory.  In MD Todorov (editor), Proceedings of the 4th International Conference on Application of Mathematics in Technical and Natural Sciences (AMiTaNS’11), (St Constantine and Helena, Bulgaria), American Institute of Physics – AIP Conference Proceedings 1487, 2012, pp 159-167, ISBN: 978-0-7354-1099-2

Anguelov R, Agbebaku D Van der Walt JH  Hausdorff continuous solutions of conservation laws.  In MD Todorov (editor), Proceedings of the 4th International Conference on Application of Mathematics in Technical and Natural Sciences (AMiTaNS’11), (St Constantine and Helena, Bulgaria), American Institute of Physics – AIP Conference Proceedings 1487, 2012, pp 151-158, ISBN: 978-0-7354-1099-2

Aderogba AA, Chapwanya C, Djoko J  Travelling wave solution of the Kuramoto-Sivashinsky equation: A computational study.  In TE Simos, G Psihoyios, Ch Tsitouras and Z Anastassi (editors), Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 1012), (Kos, Greece), American Institute of Physics – AIP Conference Proceedings 1479, 2012, pp 777-780, ISBN: 978-0-7354-1091-6

Anguelov R, Dumont Y, Lubuma JM-S  Mathematical Analysis of vector-borne diseases on plants.  In M Kang, Y Dumont and Y Guo (editors), 2012 IEEE 4th International Symposium on Plant Growth Modeling, Simulation, Visualization and Applications (PMA’12), (Shanghai, China), Institute of Electrical and Electronic Engineers (IEEE), Inc, 2012, pp 22-29, ISBN: 978-1-4673-0068-1