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:

  • Raouf Ghomrasni. A generalised occupation time formula for continuous semimartingales. Studia Sci. Math. Hungar, 2010 47 (1) 54-58.
  • Raouf Ghomrasni and Olivier Menoukeu Pamen. Decomposition of order statistics of Semimartingales using local times. Stochastic Analysis and Applications, 2010 28 1-13.
  • CA Kitio Kwuimy, B Nana and P Woafo. Experimental bifurcations and chaos in a modified self-sustained macro electromechanical system. Journal of Sound and Vibration, 2010 329 3137-3148.
  • Christinah Chiyaka, Zindoga Mukandavire, Prasenjit Das, Farai Nyabadza, Senelani D Hove-Musekwa, Henry Mwambi. Theoretical analysis of mixed Plasmodium malariae and Plasmodium falciparum infections with partial cross immunity. Journal of Theoretical Biology 2010 263 169-178.
  • Moulay Rchid Sidi Ammi and Delfim F. M. Torres, Hölder's and Hardy's Two Dimensional Diamond-alpha Inequalities on Times Scales, An. Univ. Craiova. Mat. Inform. 2010 37 (1) 1-11
  • SC. Oukouomi Noutchie, Existence and uniqueness of conservative solutions for nonlocal fragmentation models, Mathematical Methods in  the Applied Sciences Journal. DOI:10.1002/mma.1302
  • CB Tabi, A Mohamadou and TC Kofane. European Physical Journal B 2010. DOI:10.1140/epjb/e2010-00062-1.
  • F Nyabadza and SD Hove Musekwa. From heroin epidemics to methamphetamine epidemics: modelling substance abuse in a South African province. Mathematical Biosciences (2010), in press.
  • Farai Nyabadza, Christinah Chiyaka, Zindoga Mukandavire, *Senelani D Hove- Musekwa*: Analysis of an HIV/AIDS model with public-health information campaigns and individual withdrawal. Journal of Biological Systems (2010), in press.
  • CB Tabi. Energy Localization in an Anharmonic Twist-opening Model of DNA Dynamics. Journal of Physics: Condensed Matter (2010), in press.
  • S Zdravkovic and CB Tabi. Two possible approaches in Peyrard-Bishop-Dauxois model of DNA dynamics. Journal of Computational and Theoretical Nanoscience (2010), in press.
  • CB Tabi, A Mohamadou and TC Kofané. Modulated Waves in the DNA Double Helix with Finite Stacking Enthalpy. Journal of Bionanoscience (2010), in press.
  • Becker RI, Lari I, Ricca F, Scozzari A, Locating Median paths on Connected Outerplanar Graphs. Networks, in press.

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