DR. CHRISTIAN KASUMO | Lecturer I

Dr. Christian Kasumo

ckasumo@mu.edu.zm

Career Profile

Specialization

Applied Mathematics

Research interests

  1. Stochastic analysis, mathematics of finance and insurance or actuarial mathematics, specifically risk theory and applications of stochastic control to finance and insurance

  2. Multi-state models in insurance

  3. Simulation of ruin probabilities

  4. Reinsurance, dividends and ruin probability issues

  5. Statistical analysis and distribution theory

  6. Pure and Applied Statistics

  7. Methods of solution of ordinary and partial differential equations

Research Supervision

2025: Phinibar Hikapamba, MSc Dissertation, Numerical Solutions of the Navier-Stokes Equations, Mulungushi University, Kabwe, Zambia (ongoing)

 

2025: Andrew Tembo, MSc Dissertation, Enhancing the Accuracy and Application of the Normal and Gamma Approximations to the Poisson Distribution, Mulungushi University, Kabwe, Zambia (ongoing)

 

2025: Thomas Lekezya, MSc Dissertation, Comparative Study of Numerical and Analytical Solutions of the Wave Equation, Mulungushi University, Kabwe, Zambia (ongoing)

 

2025: Peter Nyendwa, MSc Dissertation, An Optimal Reinsurance Problem in the Cramer-Lundberg Model with Investments and Transaction Costs, Mulungushi University, Kabwe, Zambia (ongoing)

 

2025: Mwiya Minyoi, MSc Dissertation, On Numerical and Analytical Solutions of the Generalized Regularized Long Wave Equation, Mulungushi University, Kabwe, Zambia (ongoing)

 

2024: Michael Peter, PhD Dissertation, Mathematical Modelling of the Stock Market Dynamics in Tanzania, Nelson Mandela African Institution of Science and Technology, Arusha, Tanzania (Ongoing)

 

2024: Ziwelela Daka, MSc Dissertation, A Study of Analytical and Numerical Solution of the Telegraph Equation in Power Transmission Lines, Mulungushi University, Kabwe, Zambia (completed)

 

2024: Easywell Mazila, MSc Dissertation, A Study of the Solutions of the Laplace Equation using Liebmann’s Method and Separation of Variables, Mulungushi University, Kabwe, Zambia (completed)

 

2024: Gift Muke Kazika, MSc Dissertation, Modelling Zambia’s Population Dynamics: A Differential Equations Approach Comparing Exponential and Logistic Models, Mulungushi University, Kabwe, Zambia (completed)

 

2024: Estelle Misozi Tembo, MSc Dissertation, Comparative Study of Solutions of the Schrödinger Equation using the Runge-Kutta and Shooting Methods, Mulungushi University, Kabwe, Zambia (completed)

 

2024: Jackson Kifita, MSc Dissertation, A Comparative Study of Methods for Numerical and Analytical Solution of the Gardner Equation, Mulungushi University, Kabwe, Zambia (ongoing)

 

2023: Japhet Lukonde, MSc Dissertation, A Study of Numerical and Analytical Solution of the Generalized Burgers-Fisher Equation, Mulungushi University, Kabwe, Zambia (completed)

 

2023: Chanda Kamanda, BSc Dissertation, Effectiveness of Artificial Intelligence Sensors in Improving Fish Behaviour on Fish Farms, Mulungushi University, Kabwe, Zambia (completed)

 

2023: Edwin Hapunda, BSc Dissertation, Solution of Partial Differential Equations using the Sumudu and Elzaki Transforms, Mulungushi University, Kabwe, Zambia (completed)

 

2022: Masoud Komunte, PhD Dissertation, Insurance Portfolio Optimization with Possibilities of Recovery after Ruin, Nelson Mandela African Institution of Science and Technology, Arusha, Tanzania (completed)

 

2021: Darlin-Jean Kashitala, BSc Dissertation, The Effect of Meteorological Parameters on COVID-19 Prevalence and Case Incidence: A Case Study of Lusaka Province, Mulungushi University, Kabwe, Zambia (completed)

 

2020: Kelvin Siankuku, BSc Dissertation, Investigating Challenges Faced by Teachers and Learners in Earth Geometry in Secondary Schools: A Case Study of Maamba Secondary School, in Maamba District, Mulungushi University, Kabwe Zambia (completed)

 

2020: Mathews Sichilima, BSc Dissertation, An Investigation into the Prevailing Attitudes of Secondary School Pupils Towards the Learning of Calculus: A Case Study of A Selected School in Kasama District, Mulungushi University, Kabwe Zambia (completed)

 

2020: Linos Sakala, BSc Dissertation, An Investigation into the Challenges Encountered in Teaching and Learning of Statistics in Senior Secondary Schools: A Case of Chamboli Secondary School in Kitwe District, Mulungushi University, Kabwe, Zambia (completed)

 

2021: Internal examiner for Master of Business Administration and Master of Business Studies, School of Business Studies, Kwame Nkrumah University, Kabwe, Zambia

 

2020: Elizabeth Mwiba, BSc Dissertation, Characterizing Length of Stay in Hospital: A Case Study of Kabwe General and Kabwe Mine Hospitals, Mulungushi University, Kabwe Zambia (completed)

 

2020: External examiner for PhD candidate, School of Mathematics and Natural Sciences, Copperbelt University, Kitwe, Zambia

 

2015: Derrick Hamakala, BSc Dissertation, The Role of the Poisson Process in Insurance Modelling, Mulungushi University, Kabwe, Zambia (completed)

 

2015: Susan Chileshe, BSc Dissertation, The Impact of HIV/AIDS on the Insurance Industry in Zambia, Mulungushi University, Kabwe, Zambia (completed)

 

2014: Boyd Kaliki, BSc Dissertation, Analysis of Road Traffic Accidents in Zambia, Mulungushi University, Kabwe, Zambia (completed)

 

2014: Mwiza Kandoko, BSc Dissertation, An Analysis of Cervical Cancer Cases in Zambia: A Case Study of Lusaka District, Mulungushi University, Kabwe, Zambia (completed)

Education Background

Dip Ed

BSc

MBA

MSc

PhD

Publications

Daka, Z. and Kasumo, C. (2025). On analytical and numerical solution of the telegraph equation in power transmission lines. International Journal of Advances in Applied Mathematics and Mechanics, 12(3), 120-137.

Kasumo, C. (2024). A semi-analytical approach to the solution of linear and nonlinear telegraph equations. KUBIK: Jurnal Publikasi Ilmiah Matematika, 9(2), 278-294.

Kasumo, C. (2024). Solving Fredholm integral equations of the first kind with symmetric kernels. International Journal of Advances in Applied Mathematics and Mechanics, 12(1), 28-37.

Mukonda, D., Kafunda, T., Kasumo, C. and Jere, S. (2024). Analysis on heat and mass transfer in boundary layer non-Newtonian nanofluid flow past a vertically stretching porous plate with chemical reaction, variable magnetic field and variable thermal conductivity. International Journal of Advances in Applied Mathematics and Mechanics, 11(4), 1-14.

Lukonde, J. and Kasumo, C. (2024). On numerical and analytical solutions of the generalized Burgers-Fisher equation. J. Innov. Appl. Math. Comput. Sci. 3(2) (2023), 121–141.

Kasumo, C. and E. Hapunda (2023). On the solution of partial differential equations using the Sumudu and Elzaki transforms. International Journal of Advances in Applied Mathematics and Mechanics, 11(2), 174-191.

Kasumo, C. (2023). An effective iterative scheme for solving the standard biological population model. International Journal of Advances in Applied Mathematics and Mechanics, 10(4), 8-16

Kasumo, C. (2023). On analytical solutions of the classical gas dynamics equations. International Journal of Advances in Applied Mathematics and Mechanics, 10(4), 1-7.

Komunte, M., Kasumo, C. and Masanja, V. G. (2022). Reducing the Possibility of Ruin by Maximizing the Survival Function for the Insurance Company’s Portfolio. Journal of Mathematics, 2022, 1-8. DOI: http://doi.org/10.1155/2022/2771223.

Komunte, M., Kasumo, C. and Masanja, V. G. (2021). Insurance Companies Portfolio Optimization with Possibilities of Recovery after Ruin: A Case of Exponential Utility Function. Journal of Mathematics and Informatics, 21, 31-42. DOI: http://dx.doi.org/10.22457/jmi.v21a03196.

White, K. A. J., Campillo-Funollet, E., Nyabadza, F., Cusseddu, D., Kasumo, C., Imbusi, N. M., Juma, V. O., Meir, A. J. and Marijani, T. (2021). Towards understanding crime dynamics in a heterogeneous environment: a mathematical approach. Journal of Interdisciplinary Mathematics. DOI: 10.1080/09720502.2020.1860292.

Kasumo, C. (2020). On the approximate solutions of the Korteweg-de Vries and viscid Burgers equations. International Journal of Advances in Applied Mathematics and Mechanics, 8(2), 64-73.

Kasumo, C. (2020). On Exact Solutions of Klein-Gordon Equations using the Semi Analytic Iterative Method. International Journal of Advances in Applied Mathematics and Mechanics, 8(2), 54-63.

Kasumo, C. and Moyo, E. (2020). Approximate solutions of nonlinear Volterra integral equations of the first kind. Applied Mathematical Sciences, 14(18), 867-880. https://doi.org/10.12988/ams.2020.914288.

Kasumo, C. (2020). The Adomian decomposition method solution of the inviscid Burgers equation. Journal of Mathematical and Computational Science, 10(5), 1834-1850.

Kasumo, C. (2020). Application of the Adomian Decomposition Method to the solution of the linear nonhomogeneous one-dimensional wave equation. Journal of Applied Mathematics and Computation, 4(2), 34-42. http://dx.doi.org/10.26855/jamc.2020.06.004.

Kasumo, C. (2020). On the approximate solutions of linear Volterra integral equations of the first kind. Applied Mathematical Sciences, 14(3), 141-153. https://doi.org/10.12988/ams.2020.912176.

Kasumo, C., Kasozi, J. and Kuznetsov, D. (2020). Dividend maximization under a set ruin probability target in the presence of proportional and excess-of-loss reinsurance. Applications and Applied Mathematics, 15(1), 13-37.

Kasumo, C. (2019). Solving the linear homogeneous one-dimensional wave equation using the Adomian Decomposition Method. Applied Mathematical Sciences, 13(5), 239-252. https://doi.org/10.12988/ams.2019.9120.

Kasumo, C. (2019). Minimizing an insurer’s ultimate ruin probability by reinsurance and investments. Mathematical and Computational Applications, 24(1), 21; https://doi.org/10.3390/mca24010021.

Kasumo, C., Kasozi, J. and Kuznetsov, D. (2018). On minimizing the ultimate ruin probability of an insurer by reinsurance. Journal of Applied Mathematics, 2018, 1-11. https://doi.org/10.1155/2018/9180780. MathSciNet: MR3770640.

Kasumo, C., Kasozi, J. and Kuznetsov, D. (2018). Dividend maximization in a diffusion-perturbed classical risk process compounded by proportional and excess-of-loss reinsurance. International Journal of Applied Mathematics and Statistics, 57(5), 68-83.

Dobson, F. S., Abebe, A., Correia, H. E., Kasumo, C. and Zinner, B. (2018). Multiple paternity and number of offspring in mammals. Proc. R. Soc. B. 285(1891): 20182042. http://dx.doi.org/10.1098/rspb.2018.2042.

Hamakala, D., Kasumo, C. and Jere, S. (2017). Analysis of implicit trust between the insurer and the insured: a case study of Zambia State Insurance Corporation. International Journal of Multi-Disciplinary Research. Article ID: CFP/141/2017. http://www.ijmdr.net.