CoRE-Math Africa–Europe Cluster of Research Excellence in Mathematics Africa–Europe Clusters of Research Excellence

Research groups

PDEAPP – Partial Differential Equations and Applications

Partial Differential Equations and Applications (PDEAPP) is a regional research group established to strengthen research and publication in partial differential equations and their applications in Africa.

Its objectives include developing new research projects, strengthening proposal and grant-writing capacity, supporting MSc and PhD students, and promoting North–South and South–South research collaboration through research visits.

The network has included researchers from Université Joseph Ki-Zerbo, Addis Ababa University, Eduardo Mondlane University, the University of Rwanda, Busitema University, Makerere University and the University of Zambia. ISP support to the network ran through 2025.

Selected publications

The publications below are records in the CoRE-Math publication dataset explicitly reported under PDEAPP.

2025

Leandry, L., Mujuni, E., Brun, M., Mureithi, E. W., Senkoro, M., & Mufaume, S. (2025). Modeling the Evolutionary Dynamics of Drug Resistance in Tuberculosis Using Hypercube and Baum-Welch Algorithm Inference: A Case Study of Tanzania. Heliyon. DOI: 10.1016/j.heliyon.2025.e42781

Ndanguza, D., Nzabanita, J., Gashugi, E., Mukeshimana, S., Minani, F., & Banzi, W. (2025). Mathematical modeling of methane gas extraction from Lake Kivu. Rwanda Journal of Engineering, Science, Technology and Environment, 7(1). DOI: 10.4314/rjeste.v7i1.10

Ngaruye, I., Nzabanita, J., et al. (2025). The effect of meteorological factors on extreme COVID-19 infection in Rwanda: The generalized additive extreme value modeling approach. Rwanda Journal of Engineering, Science, Technology and Environment. DOI: 10.4314/rjeste.v7i1.8

Oswald, S., Mureithi, E., Tsanou, B., Chapwanya, M., Mashato, K., & Kahesa, C. (2025). MCMC-Driven mathematical modeling of the impact of HPV vaccine uptake in reducing cervical cancer. Scientific African. DOI: 10.1016/j.sciaf.2025.e02633

Yesuf, J., & Abdi, T. (2025). Almost Analytic Extensions and Ultradifferentiable Functions. SINET: Ethiopian Journal of Science. DOI: 10.4314/sinet.v47i3.6

2024

Niyigaba, Banzi, Touré, & Torrisi (2024). Time Evolution of the Densities of Three Species Interacting in the Same Ecosystem and the Stability Analysis of Steady States for a Reaction–Diffusion PDE Model. Journal of Applied Mathematics, 2024, 9635236. DOI: 10.1155/2024/9635236