Kekana’s Lab

Meet The Director

Dr. Malesela Clifford Kekana

Senior Lecturer & Section Head, Tshwane University of Technology (TUT), Pretoria, South Africa

Dr. Malesela Clifford Kekana is a Senior Lecturer and Section Head in the Department of Mathematics and Statistics at Tshwane University of Technology (TUT), Pretoria. He holds a PhD in Applied Mathematics from TUT, where his research focuses on dynamical systems, numerical methods, and mathematical modelling of real-world problems, with a strong emphasis on epidemiological systems and fractional calculus.

Over the years, Dr. Kekana has contributed significantly to the field of mathematical modelling through the development and application of semi-analytical, numerical, and fractional-order methods for solving complex differential equations. His work covers a wide range of applications including infectious disease dynamics (such as COVID-19, Nipah virus, and rotavirus), market competition systems, and the use of accuracy monitoring techniques for initial value problems.

Dr. Kekana has published extensively in peer-reviewed journals and presented at both national and international conferences. His Google Scholar profile lists multiple citations to his work, reflecting its impact in advancing mathematical approaches to public health and beyond.

Connect with him

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Areas of Interest

Mathematical modelling of infectious diseases and  Epidemiology

Fractional calculus and dynamical systems

Numerical and semi-analytical methods for differential equations

Data Analytics

Mathematical Biology

what he does

Services

Research Collaboration

Partnering with researchers and institutions on projects involving dynamical systems, numerical methods, and epidemiological modelling.

Mathematical & Epidemiological Modelling

Developing and analyzing deterministic, stochastic, and fractional-order models for infectious diseases and other applied systems.

Numerical Analysis & Computational Methods

Applying semi-analytical and numerical techniques (e.g., Laplace Adomian Decomposition, Differential Transform, Runge-Kutta) for solving complex differential equations.

Academic Supervision & Mentorship

Supervising postgraduate theses and mentoring students in applied mathematics, modelling, and computational techniques.

Workshops & Training

Conducting training sessions on fractional calculus, dynamical systems, and numerical methods for researchers, students, and professionals.

Consulting in Applied Mathematics

Providing expertise to industry, government, and health organizations on mathematical modelling for policy, socio-economic systems, and disease control strategies.

let's work together

Join Kekana’s Lab—where innovation, data, and collaboration drive solutions for a healthier, sustainable future.

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