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Welcome to the Department of Mathematics & Statistics

Dr Patrick Mwangi Kimani Publications

Publications in Journals:

  1. Makena, E., Ngari, C. G., Kimani, P. M., & Kilonzi, J. S. (2024). In-host density-dependent model of high-risk HPV virions, basal cells, lymphocytes t-cells incorporating functional responses. Heliyon, 10(16).
  2. Odhiambo, B., Ngari, C., Kimani, P., & Njori, P. (2023). Modelling and Simulation of Competition for Students’ Population with Holling Type II Response. Journal of Mathematics, 2023.http://dx.doi.org/10.1155/2023/4102242
  3. Kimani, P. M., & Adicka, D. (2021). Action of PGL (2, q) on the Cosets of the Centralizer of an Eliptic Element. Journal of Advances in Mathematics and Computer Science, 36(7), 11-20. https://doi.org/10.9734/jamcs/2021/v36i730379
  4. Kimani P., Kamuti I. and Rimberia J. (2019). Cycle Index Formula for G = PSL (2,q)  Acting on the Cosets of H = PSL (2,e), where q is an even power of e.  International Journal of Scientific Research and Innovative Technology. 6: 1-10.http://41.89.240.73/handle/embuni/4349
  5. Lao H.,  Kivunge B., Kimani P. and Muthoka G. (2018). On the Number of Cyclotomic Cosets and Cyclic Codes over Z13  International Journal of Scientific Research and Innovative Technology. 5(6): 58-68.http://41.89.246.19/handle/123456789/635
  6. Muthoka G., Kamuti I., Lao H., and Kimani P. (2015) Cycle Index Formulas for Dn Acting on Unordered Pairs. Journal of Mathematical Theory and Modeling. 5: 16-22.http://www.repository.embuni.ac.ke/handle/embuni/4344
  7. Kimani P., Rimberia J., Muthoka G. and Lao H. (2015). Application of Marks to Computation of Ranks and Subdegrees of the Symmetric Group Acting on Ordered 4-element and on Ordered 5-element subsets. Journal of Mathematical Theory and Modeling. 5: 17-24.http://repository.embuni.ac.ke/handle/123456789/4193
  8. Lao H.,  Kivunge B., Kimani P. and Muthoka G. (2015). Enumeration Cyclic Codes Over GF(17). Journal of Scientific Research and Innovative Technology. 2: 103-111.https://scholar.google.com/scholar?cluster=5574521375635530692&hl=en&oi=scholarr
  9. Kimani J.G., Kinyanjui J.N., Rimberia j., Kimani P. and Muchemi J.K. (2015) Transitivity Action of An (n=4,5,6,7) on Ordered and Unordered Quadruples. Journal of Mathematical Theory and Modeling 5: 111-123.https://scholar.google.com/scholar?cluster=16030570821582517071&hl=en&oi=scholarr
  10. Muthoka G., Kamuti I., Kimani P., and Lao H. (2015) Cycle Index Formulas for Dn Acting on ordered Pairs. International Journal of Science and Research. 5: 1980-1983. http://repository.embuni.ac.ke/bitstream/handle/embuni/4345/
  11. Kimani P., Rimberia J., Muthoka G. and Lao H. (2014). Application of Marks to Computation of Ranks and Subdegrees of the Symmetric Group Acting on Ordered Pairs and  on Ordered Triples. Journal of Mathematical Theory and Modeling  4:95-102. http://repository.embuni.ac.ke/handle/123456789/4195
  12. Kimani P., Kamuti I. and Rimberia J. Rank and Subdegrees of PGL (2,q)   Acting Cosets of PGL (2,e)for q an Even Power of e. International Journal of Algebra. 13: 29-36.http://41.89.240.73/handle/embuni/4349
  13. Siahi M. Kimani P. and Kamuti  I. Ranks, Subdegrees and Suborbital graphs of the product action of Affine groups. Journal of Advances in Mathematics. 19: 2347-1921.http://41.89.240.73/handle/123456789/4196
  14. Ndichu F. T., Kamaku P. W. and Kimani P. Action of On Non-Zero Vectors over GF (q). International Journal of Algebra. 14: 233-237.https://www.m-hikari.com/ija/ija-2020/ija-1-4-2020/p/ndichuIJA1-4-2020.pdf
  15. Mutinda F. M., Kamaku P. W. and Kimani P. Ranks and Subdegrees of External Direct Product of Cn x Dr Acting on X x Y. International Journal of Algebra. 14: 239-245.http://dx.doi.org/10.11648/j.pamj.20170601.11

Presentation of Papers at Academic and Professional Conferences

16th July 2015, Presented at the 2nd International Kenyatta University Mathematics conference:
i.    Application of Marks to Computation of Ranks and Subdegrees of the Symmetric Group Acting on Ordered 4-element and on Ordered 5-element subsets,” Mathematics Conference.
ii.    Enumeration of Cyclic codes over GF(13)
iii.    Triples that behave like Pythagorian triples.
17th -20th June 2019: Presented “Subdegrees and Suborbital Graphs of   Acting on the Right Cosets of the Subgroup  ” at the 3rd International Kenyatta University Mathematics conference.

Supervision of Student/Ongoing research
1.    Siahi Maxwell ‘Agwanda Ranks, Subdegrees, Cycle Indices and Structures Of External Direct Produc’ Kenyatta University.  Ongoing.
2.    Ndichu Fredrick Thinji, Action of GL(2,q) and GL(3,q) on non-zero vectors over GF(q), Jomo Kenyatta University of Agriculture and Technology. Ongoing
3.    Felix Mutida Mutua, Ranks Subdegrees and Suborbital Graphs of External Direct Products of Cn X Dr and Cn X Sr acting on XxY