Research

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Research activity commenced at AIMS in 2003, mostly through a limited number of short-term research fellowships sponsored by the Ford Foundation, the Victor Rothschild Memorial Fund and the National Research Foundation. However, research at AIMS started off in earnest after the AIMS Research Centre was launched during May 2008 (following the purchase and refurbishment of two historical double-storey houses opposite the AIMS main building in Melrose Road) and after a grant was secured from the Department of Science and Technology at the end of 2008.

The main features of the AIMS Research Centre are

  • A strong focus on cutting-edge topics which are most relevant to African development, especially in fields where scientists in Africa have a competitive advantage and can do world-leading research
  • Close involvement with local universities and other research institutions thus widening the pool of available expertise and serving to initiate long-term research programmes in the local academic community
  • Collaboration with institutions all over Africa to ensure strong pan-African participation in all the Research Centre's programmes, stimulating the growth of pan-African research networks and partnerships
  • Participation of top international researchers and institutions keen to work with African academics and students on cutting edge projects
  • Close ties with industry by running programmes associated with particular industrial needs, assisting in capacity building and collaboration on innovative projects
  • The careful selection of cost-effective, high impact, interdisciplinary research programmes in which a small fast-moving Centre can break new ground more effectively than is possible in larger, less flexible institutions

The research focus of the AIMS Research Centre is mathematical modelling in a multidisciplinary context, with a special focus on data analysis and computation. Although this focus encompasses all areas in the mathematical sciences for the initial phases three focus areas have been selected namely mathematics in biology, mathematical finance, and astrophysics and cosmology.

Research and Study Opportunities

The AIMS Research Centre provides opportunities for resident researchers, visiting research fellows, postdoctoral fellows, doctoral and masters students to work within the research foci of the Research Centre. Positions for resident researchers are advertised from time to time.

Journal club/seminars

AIMS has a regular seminar series (the AIMS Journal Club) where resident and visiting researchers present their or other work to a wider audience.

Short courses, summer schools and workshops

The AIMS Research Centre is ideally suited for hosting short courses, summer schools and workshops. Event organizers looking for a venue can contact us for more information.

Publications

The following research papers based on work, done either wholly or partially at AIMS, have been published or are in press:

  • CB Tabi, A Mohamadou and TC Kofané, 2009. Modulated Waves in the DNA Double Helix with Finite Stacking Enthalpy. Journal of Bionanoscience, 3(2), 110-117.
  • Ghomrasni R, 2010. A generalised occupation time formula for continuous semimartingales. Studia Sci. Math. Hungar., 47(1), 54-58.
  • Ghomrasni R and Menoukeu Pamen O, 2010. Decomposition of order statistics of Semimartingales using local times. Stochastic Analysis and Applications, 28, 1-13.
  • Kitio Kwuimy CA, Nana B and Woafo P, 2010. Experimental bifurcations and chaos in a modified self-sustained macro electromechanical system. Journal of Sound and Vibration, 32, 3137-3148.
  • Chiyaka C, Mukandavire Z, Das P, Nyabadza F, Hove-Musekwa SD and Mwambi H, 2010. Theoretical analysis of mixed Plasmodium malariae and Plasmodium falciparum infections with partial cross immunity. Journal of Theoretical Biology, 263, 169-178.
  • Sidi Ammi MR and Torres DFM, 2010. Hölder's and Hardy's Two Dimensional Diamond-alpha Inequalities on Times Scales, An. Univ. Craiova. Mat. Inform., 37(1), 1-11.
  • Elazzouzi A and Ouhinou A, 2010. Variation of constants formula and reduction principle for a class of partial functional differential equations with infinite delay. Nonlinear Analysis, 73, 1980 – 2000.
  • Tabi CB, Mohamadou A and Kofane TC, 2010. Modulational instability in the anharmonic Peyrard-Bishop model of DNA. European Physical Journal B, 74, 151-158.
  • Zdravkovic S and Tabi CB, 2010. Two possible approaches in Peyrard-Bishop-Dauxois model of DNA dynamics. Journal of Computational and Theoretical Nanoscience), 7(8), 1418 – 1424.
  • Oukouomi Noutchie SC, Existence and uniqueness of conservative solutions for nonlocal fragmentation models. Mathematical Methods in the Applied Sciences Journal, DOI:10.1002/mma.1302
  • Tabi CB. Energy Localization in an Anharmonic Twist-opening Model of DNA Dynamics. Journal of Physics: Condensed Matter, in press.
  • Becker RI, Lari I, Ricca F and Scozzari A, Locating Median paths on Connected Outerplanar Graphs. Networks, in press.
  • Magombedze G, Nduru P, Bhunu CP and Mushayabasa S. Mathematical modelling of immune regulation of type 1 diabetes, in press.

 

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