Department :Mathematics & Actuarial Science
Address: P.O. Box 43844 , 00100,Kenyatta University,NAIROBI
Email: This email address is being protected from spambots. You need JavaScript enabled to view it.,This email address is being protected from spambots. You need JavaScript enabled to view it.
Open Researcher & Contributor ID: https://orcid.org/0000-0002-9611-6088
Skype Address:mutukuwinnie
Current Designation: Chairperson, Department of Mathematics and Actuarial Science
Position : Chairperson/Senior Lecturer

ORCID ID: https://orcid.org/0000-0002-9611-6088

Google Scholar Account https://scholar.google.com/citations?user=JDX4Y_oAAAAJ&hl=en

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PUBLICATIONS

  • Muthoni Muriithi and Mutuku Winifred. (2023). Mathematical Modeling and Analysis of Corruption Dynamics in Kenya, International Journal of Research and Innovation in Applied Science (IJRIAS), Vol 3(8), DOI:10.51584/IJRIAS.
  • Purity Muthima, Mary Mwangi, Faith Karanja, Winifred Mutuku, Wilson Muna, Joseph Muniu, Ruth Wanjau, Catherine Ndungo, Ruth Ngina & Ebby Glorian N. Wamalwa. (2023). An Assessment of The Impact of The Stem-Kenya Mentorship Program on Career Choice and Employment of Young Women in Kenya, 3 (1), 2958-7999.
  • Mwangi, L. and Mutuku, W.N. (2023). Mathematical Modelling on Impact of Interventions in the Spread of Covid-19 in Kenya, Journal of Advances in Mathematics and Computer Science, 38, no. 1, pp. 1-19.
  • Andima, R.N.,Mutuku, W.N., Farai, N., Awuor, K. and Oke, A.S. (2022). Mathematical Modelling of Diabetes under a Constrained Hospitalisation Resources, Open Access Library Journal, Vol.9 e 9371, https://doi.org/10.4236/oalib.1109371
  • Andima, R.N, Mutuku, W.N., Nyabadza, F, Awuor, K., and Oke, A.S.  (2022). Impact of Fixed Allocation of  Health Resources on Diabetes in Kenya: Mathematical Modelling Approach, Advances in Applied Sciences, 7(4): 125-134
  • Mutuku, W.N. (2022). Coriolis Effect on MHD Hybrid Nanofluid Couette Flow Over an Exponentially Stretching Plate, Asian J. Math. Appl. 2022:16.
  • Kimulu, A.M., Mutuku, W.N., Mwalili S., Malonza D. and Oke, A.S. (2022). Mathematical Modelling of the Effects Funding on HIV Dynamics Among Truckers and Female Sex Workers Along the Kenyan Northern Corridor Highway, Advances in Applied Sciences, 7(3): 59-7, doi: 10.11648/j.aas.20220703.14
  • Juma, B.A, Oke, A.S. and Mutuku, W.N., Ariwayo, A.G., and Ouru, J.O. (2022). Dynamics of Williamson fluid over an inclined surface subject to Coriolis and Lorentz forces, Appl. Sci. Lett. 2022, 5(1), 37-46; doi:10.30538/psrp-easl2022.0083.
  • Kimulu, A.M., Mutuku, W.N., Mwalili S., Malonza D. and Oke, A.S. (2022). Male Circumcision: A Means to Reduce HIV Transmission between Truckers and Female Sex Workers in Kenya, Journal of mathematical Analysis and Modeling, 3 (1), pp 50-69, doi:10.48185/jmam.v3i1.424.
  • Niyonkur, V. and Mutuku, W.N. (2022). Cost-Effectiveness Analysis of Optimal Control Strategies for Malaria Transmission in Bubanza Province, Burundi, International Journal of Research and Innovation in Applied Science (IJRIAS) |Volume VII, Issue V, May 2022|ISSN 2454-6194
  • Wekesa W.S & Mutuku, W. N. (2022). Magnetohydrodynamic Jeffrey Nanofluid Flow Over a Vertical Sheet, Asian Research Journal of Mathematics, 18(8): 35-47, 2022; Article no.ARJOM.88596, ISSN: 2456-477X.
  • Oke, A.S. and Mutuku, W.N. (2021). Significance of Viscous Dissipation of MHD Eyring-Powell Flow past a Convectively Heated Stretching Sheet, Pramana - J Phys95, 199 (2021). https://doi.org/10.1007/s12043-021-02237-3
  • Oke, A.S. and Mutuku, W.N. (2021). Significance of Coriolis Force on Eyring-Powell Flow Over A Rotating Non-uniform Surface, Applications and Applied Mathematics: An International Journal (AAM), Vol. 16, Iss. 1, Article 36
  • Kinyanjui J.K., Mutuku, W. N. & Oyem, A. O. (2021). Analysis of Volume Fraction and Convective Heat Transfer on MHD Casson Nanofluid over a Vertical Plate, Fluid Mechanics. Vol 7(1), pp1-8 http://www.sciencepublishinggroup.com/j/fm doi: 10.11648/j.fm.20210701.11 ISSN: 2575-1808 (Print); ISSN: 2575-1816 (Online)
  • Oke, A.S., Animasaun, I.L., Mutuku, W.N., Kimathi, Shah, M.N. & Saleem, S. (2021), Significance of Coriolis force, volume fraction, and heat source/ sink on the dynamics of water conveying 47 nm alumina nanoparticles over a uniform surface, Chinese Journal of Physics. Vol. 71, pp 716-727
  • Nyamai A.M. & Mutuku W.N. (2021). Modeling the Effect of Inpatient Rehabilitation of Tobacco Smokers on Smoking Dynamics, Journal of Advances in Mathematics and Computer Science, 36(4), pp 1-14,  Article no.JAMCS.67608, ISSN: 2456-9968
  • Oyem, A.O., Mutuku, W.N., Edogbanya, H.O., Oke, S. & Garbas, B.B. (2021). Newtonian Heating on MHD Stagnation point flow over a flat plate, FUW Trends in Science & Technology Journal, e-ISSN: 24085162; p-ISSN: 20485170; April, 2021: Vol. 6 (1), pp. 262 – 269.
  • Mutuku, W. N. & Oyem, A. O. (2021). Casson Fluid Stagnation Point flow towards a vertical shrinking/stretching sheet, FUDMA Journal of Sciences (FJS), 5 No. 1, March, 2021, pp 16 – 26, DOI: https://doi.org/10.33003/fjs-2021-0501-xxx
  • Okello, A.,Oyem, A.O. & Mutuku, W. N. (2021). Examination of Engine oil-based ((MWCNTs-TiO2), (MWCNTsAl2O3), (MWCNTs-Cu)) Hybrid Nanofluids for Optimal Nanolubricant, IOSR Journal of Mathematics (IOSR-JM) e-ISSN: 2278-5728, p-ISSN: 2319-765X. Vol. 17(2), PP 24-38.
  • Bada, O.I., Oke, A.S., Mutuku, W.N. & Aye, P.O. (2021). Analysis of the Dynamics of SI-SI-SEIR Avian Influenza A(H7N9) Epidemic Model with Re-infection, Earthline Journal of Mathematical Sciences, Vol. 5 (1), pp.43-73 https://doi.org/10.34198/ejms.5121.4373.
  • Wekesa W.S & Mutuku, W. N. (2020). Numerical Analysis of Heat Transfer of Eyring Powell Fluid Using Double Stratification of Magneto-Hydrodynamic Boundary Layer Flow, Asian Research Journal of Mathematics, 16(10), pp. 91-108, Article no.ARJOM.62194, ISSN: 2456-477X.
  • Oke, A.S, Mutuku, W. N., Kimathi, M., & Animasaun, I.L.(2020). Coriolis effects on MHD newtonian flow over a rotating non-uniform surface, Proc IMechE Part C: J Mechanical Engineering Science 0(0), pp. 1–13, DOI: 10.1177/0954406220969730.
  • Okello, A., Mutuku, W. N. & Oyem, A. O. (2020). A Review of Nanofluids Synthesis, Factors Influencing Their Thermophysical Properties and Applications, Journal of Engineering Research and Reports, Vol.17(4), pp. 1-17, 2020; Article no.JERR.61551, ISSN: 2582-2926
  • Oke, A.S, Mutuku, W. N., Kimathi, M., & Animasaun, I.L. (2020). Insight into the dynamics of non-Newtonian Casson fluid over a rotating non-uniform surface subject to Coriolis force, Nonlinear Engineering, Vol. 9, pp. 398–411, https://doi.org/10.1515/nleng-2020-0025
  • Okello, J. A., Mutuku, W. N. & Oyem, A. O. (2020). Analysis of Ethylene Glycol (EG)-based ((Cu-Al2O3), (Cu-TiO2), (TiO2-Al2O3)) Hybrid Nanofluids for Optimal Car Radiator Coolant, Journal of Engineering Research and Reports, Vol. 17(2), pgs 34-50, Article No.JERR.61548 ISSN: 2582-2926
  • Oyem, A.O., Mutuku, W.N. & Oke, A.S. (2020). Variability effects on magnetohydrodynamic for Blasius and Sakiadis flows in the presence of Dufour and Soret about a flat plate, Engineering Reports, Vol. 2(1), DOI: 10.1002/eng2.12249
  • Okello, J.A. & Mutuku ,W.N. (2020). Mathematical Modelling of Variable Viscosity Hydromagnetic Boundary Layer Flow with Thermal Radiation and Newtonian Heating, International Journal of Advances in Scientific Research and Engineering, 6(6), DOI: 10.31695/IJASRE.2020.33726.
  • Ajibola, S. O., Oke, S. & Mutuku, W.N. (2020). LHAM Approach to Fractional Order Rosenau-Hyman and Burgers' Equations, Asian Research Journal of Mathematics, 16(6), pp.1-14, Article no.ARJOM.56832, ISSN: 2456-477X.
  • Ouru, J.O., Mutuku, N. & Oke, A. S. (2020). Buoyancy-Induced MHD Stagnation Point Flow of Williamson Fluid with Thermal Radiation, Journal of Engineering Research and Reports, 11(4), pp. 9-18,; Article no.JERR.55741, ISSN: 2582-2926.
  • Matendechere, N.I, Mutuku, N. &  Nyabadza, F. (2019). Modelling the Dynamics of Jiggers Infestation incorporating media campaigns, Journal of  Communications in Mathematical Biology and Neuroscience,  https://doi.org/10.28919/cmbn/4096, ISSN: 2052-2541
  • Matendechere, N.I, Mutuku, N. &  Nyabadza, F. (2019). Modelling the Dynamics of Jiggers Infestation: Insights from a theoretical model, Journal of Mathematics and Computing, Vol 4(9), pp. 473-500, https://doi.org/10.28919/jmcs/4107, ISSN: 1927-5307
  • Kimulu, A.M., Mutuku, N. & Mutua, N.M. (2018). Car Antifreeze and Coolant: Comparing Water and Ethylene Glycol as Nano Fluid Base Fluid, International Journal of Advances in Scientific Research and Engineering, Vol 4(6), DOI: http://dx.doi.org/10.7324/IJASRE.2018.32748
  • Mutuku, N. & Makinde, O.D. (2017). Double stratification effects on heat and mass transfer in unsteady MHD nanofluid flow over a flat surface, Asia Pacific Journal on Computational Engineering, Vol. 4 (2), DOI 10.1186/s40540-017-0021-2
  • Mutuku, N., Makinde, O.D. & Theuri, D. (2017). Hydromagnetic Mixed Convection Flow of Nanofluid with Slip, Viscous Dissipation and Joule Heating Past an Inclined Plate, Journal of Nanofluids, Vol. 9, pp.1 – 9.
  • WN Mutuku-Njane, OD Makinde, Combined Effect of Buoyancy Force and Navier Slip on MHD Flow of a Nanofluid over a Convectively Heated Vertical Porous Plate, The Scientific World Journal, Vol. 2013, Article ID 725643, 8 pages.
  • WN Mutuku-Njane, OD Makinde, MHD Nanofluids Flow over a Permeable Vertical Plate with Convective heating, Journal of Computational and Theoratical Nanoscience, Vol. 11, 1- 9, 2014.
  • Oluwole Daniel MAKINDE and Winifred Nduku MUTUKU, OD Makinde, Hydromagnetic thermal boundary layer of nanofluids over a convectively heated flat plate with viscous dissipation and Ohmic heating, U.P.B. Sci. Bull., Series A, Vol 76 (2), 2014, ISSN 1223 – 7027.
  • Winifred Nduku Mutuku and Oluwole Daniel Makinde, Hydromagnetic Bioconvection of Nanofluid over a Permeable Vertical Plate due to Gyrotactic Microorganisms, Computers and Fluids, vol. 95, 88 – 97, 2014.
  • WN Mutuku-Njane, OD Makinde, On hydromagnetic boundary layer flow of nanofluids over a permeable moving surface with Newtonian heating, Latin American Applied Research, Vol. 44 (1), 57-62, 2014.
  • W. Mutuku, B. Yan. MHD Boundary Layer Flow and Heat Transfer of Nanofluids Past a Permeable Moving Flat Surface with Convective Heating and Viscous Dissipation, Clifford Analysis, Clifford Algebra and their Applications (CACAA), Vol. 3(2), 183-192, 2014.
  • Winifred Nduku Mutuku, MHD Non-linear Boundary Layer Flow and Heat Transfer of Nanofluids Past a Permeable Moving Flat Surface with Thermal Radiation and Viscous Dissipation, Universal Journal of Fluid Mechanics 2 (2014), 55-68.

  • W.N. Mutuku, S.M. Kithome and K.O. Awuor, Analysis of MHD Thermal Boundary Later Flow of Naofluids over a Convectively Heated Moving flat Plate, Journal of fluid and thermal sciences, Vol 2(1), 1-19, 2014.9.

  • CN Kaneba, WN Mutuku, Hydromagnetic Boundary Layer Slip Flow and Heat Transfer with Thermal Radiation and Viscous Dissipation, International Journal of Applied Science and Mathematics, Volume 3, Issue 1, ISSN (Online): 2394 – 2894, 2016.

  • WN Mutuku, Ethylene Glycol (EG)-based Nanofluids as a Coolant for Automotive Radiator, Asia Pacific Journal of Computational Engineering,3:1, DOI 10.1186/s40540-016-0017-3, 2016.
  • WN Mutuku, OD Makinde, Double stratification effects on heat and mass transfer in unsteady MHD nanofluid flow over a flat surface, Asia Pacific Journal on Computational Engineering, 4:2, 2017, DOI 10.1186/s40540-017-0021-2
  • WN Mutuku, OD Makinde, D Theuri, Hydromagnetic Mixed Convection Flow of Nanofluid with Slip, Viscous Dissipation and Joule Heating Past an Inclined Plate, Journal of Nanofluids, Vol 9, 1 – 9, 2017
  • AM Kimulu, WN Mutuku and NM Mutua, Car Antifreeze and Coolant: Comparing Water and Ethylene Glycol as Nano Fluid Base Fluid, International Journal of Advances in Scientific Research and Engineering, Vol 4(6), 2018, DOI:  http://dx.doi.org/10.7324/IJASRE.2018.32748 
  • N. Matendechere, W. Mutuku, F. Nyabadza, Modelling the Dynamics of Jiggers Infestation: Insights from a theoretical model, Journal of Mathematics and Computing, Vol 4(9), (2019), 473-500,  https://doi.org/10.28919/jmcs/4107, ISSN: 1927-5307
  • N. Matendechere, W. Mutuku, F. Nyabadza, Modelling the Dynamics of Jiggers Infestation incorporating media campaigns, Journal of Communications in Mathematical Biology and Neuroscience, 2019, 2019:25,  https://doi.org/10.28919/cmbn/4096, ISSN: 2052-2541

Scholarly Presentations at Conferences

  • 27th – 29th July, 2022 : STEM-ERA online workshop, UNISA
  • 6th – 7th October, 2021: 7th International Annual Conference on Education and Lifelong Learning, School of Education, Kenyatta University
  • 13th – 15th October, 2021:  Mathematics Workshop, University of Namibia
  • 17 – 20th June, 2019 : 3rd Kenyatta University International Mathematics Conference, Kenya      
  • 5 – 7th September 2018:  OWSD-Africa Regional Conference, 2018, ICIPE, Nairobi, Kenya
  • 21st -24th Nov 2016: 35th South African Mathematical Sciences Association Annual Conference, Pretoria, South Africa. 9th – 13th January, 2017.
  • 23rd – 27th Nov 2015 : 34th South African Mathematical Sciences Association Annual Conference,Windhoek, Namibia.
  • 3rd – 7th Aug 2015: 3rd Strathmore International Mathematics Conference, Nairobi Kenya.
  • 20th – 31st July 2015: CIMPA-KENYA Mathematical Modelling and Analysis of Complex Systems Research School, Naivasha, Kenya.
  • 15 – 18th June 2015:  2nd Kenyatta University International Mathematics Conference, Kenya.
  • 24 – 28th Nov 2014: 33rd South African Mathematical Sciences Association Annual Conference, Victoria Falls, Zimbabwe.
  • 1st – 5th Sept 2014 :  International School on Mathematical Epidemiology, Strathmore University, Kenya.

Workshops and Seminars Attended

  • 6th – 16th July, 2022: Chemical reaction Networks, Turin, Italy
  • 2nd - 16th December 2021: GeMVi Infectious Disease Modelling Workshop, Nairobi
  • 10th July 2020:  Memorial Lecture on the Birth Anniversary of Late Prof. P.R. Sharma, Manipal University, Jaipur, India.
  • 17 – 20th June 2019: 3rd Kenyatta University Mathematical Modelling Workshop.
  • 21st – 23rd May 2018:  NACC county HIV Estimates Training Workshop
  • 12 – 16th June 2017: 2nd Kenyatta University Mathematical Modelling Workshop.
  • 9– 13th Jan 2017:   Mathematical Modelling Workshop, Machakos, Kenya.
  • 21st – 29th Nov 2015: Masamu Advanced Study Institute and Workshops in Mathematical Sciences, Windhoek, Namibia.
  • 20th – 31st July 2015: CIMPA-KENYA Mathematical Modelling and Analysis of Complex Systems Research School, Naivasha, Kenya.
  • 16 – 18th July 2015: African Women in Mathematics Association Worshop, Naivasha, Kenya.

Administration and Responsibilities

  • Oct 2020 to Now Chairperson, Department of Mathematics & Actuarial Science
  • Sept 2015 to Dec 2015 Departmental Time-tabler
  • Jan 2016 to Oct 2020 Chairperson, Departmental Board of Postgraduate Studies
  • January 2016 to Now Mentor
  • 25th August 2016 Departmental Innovation Champion
  • 7th Sept – 25th Nov 2017 Acting Chairman, Mathematics Department
  • May 2017 to Now Committee Member to SPAS Travel and Research Grant
  • 31st July 2017 Departmental Website Coordinator
  • 6th – 31st August 2018 Acting Chairman, Mathematics Department