Award Abstract # 1343651
US-Africa Collaborative Research Network in Mathematical Sciences

NSF Org: DMS
Division Of Mathematical Sciences
Recipient: AUBURN UNIVERSITY
Initial Amendment Date: September 11, 2013
Latest Amendment Date: September 11, 2013
Award Number: 1343651
Award Instrument: Standard Grant
Program Manager: Swatee Naik
snaik@nsf.gov
 (703)292-4876
DMS
 Division Of Mathematical Sciences
MPS
 Directorate for Mathematical and Physical Sciences
Start Date: September 1, 2013
End Date: August 31, 2019 (Estimated)
Total Intended Award Amount: $415,000.00
Total Awarded Amount to Date: $415,000.00
Funds Obligated to Date: FY 2013 = $415,000.00
History of Investigator:
  • Overtoun Jenda (Principal Investigator)
    jendaov@auburn.edu
  • Peter Johnson (Co-Principal Investigator)
  • Asheber Abebe (Co-Principal Investigator)
Recipient Sponsored Research Office: Auburn University
321-A INGRAM HALL
AUBURN
AL  US  36849-0001
(334)844-4438
Sponsor Congressional District: 03
Primary Place of Performance: Auburn University
381 Mell Street
Auburn
AL  US  36849-0001
Primary Place of Performance
Congressional District:
03
Unique Entity Identifier (UEI): DMQNDJDHTDG4
Parent UEI: DMQNDJDHTDG4
NSF Program(s): OFFICE OF MULTIDISCIPLINARY AC,
INFRASTRUCTURE PROGRAM
Primary Program Source: 01001314DB NSF RESEARCH & RELATED ACTIVIT
Program Reference Code(s): 9150
Program Element Code(s): 125300, 126000
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.049

ABSTRACT

The US-Africa Collaborative Research Network consists of over 40 senior research faculty from US, Sub-Saharan Africa, Canada, and Europe forming 4 research teams in Pure Mathematics (Algebra and Geometry, Analysis and Topology, Coding Theory and Information Theory, and Graph Theory) and 3 research teams in Applied Mathematics (Epidemiological Modeling, Numerical Approximation of Solutions of Partial Differential Equations, and Mathematics of Finance and Statistics). Each team has at least 4 senior research faculty and at least 4 undergraduate and graduate students. Student participants are recruited from across the US and Sub-Saharan Africa. The primary goal of the network is to produce, by the end of the project period, (a) at least 8 high quality new PhDs in the US and a similar number in Sub-Saharan Africa, (b) numerous high quality joint research publications, and (c) several prominent US-Africa research partnerships consisting of researchers from diverse backgrounds; and thus have long lasting impact on mathematical sciences research collaboration and human infrastructure in the US and Sub-Saharan Africa.

The research problems being studied have important applications in industry and government as well as in scientific research. In particular, coding theory, graph theory, and number theoretic problems being studied have applications in security, network coverage, surveillance, and transportation, while algebra, geometry, and analysis problems have applications to mathematical biology, differential equations, finance, and statistics. In turn, problems in mathematical biology and differential equations have applications in the spread of contagious diseases, tumor growth and cell membrane deformation, and biodiversity; and problems in finance and statistics will provide a better understanding of the use of financial mathematical models in developing nations. This award is jointly supported by the Division of Mathematical Sciences and the Office of Multidisicplinary Activities within the Directorate of Mathematical and Physical Sciences.

PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH

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(Showing: 1 - 10 of 29)
Gaoue, OG; Jiang, J; Ding, W; Agusto, FB; and Lenhart, S "Optimal harvesting strategies for timber and non-timber forest products in tropical ecosystems" Theoretical Ecology , 2015 10.1007/s12080-015-0286-4
Abebe, A., Correia, H. E., & Dobson, F. S. "Estimating a Key Parameter of Mammalian Mating Systems: The Chance of Siring Success for a Mated Male." BioEssays , 2019 https://doi.org/10.1002/bies.201900016
Barnett, Johnathan and Johnson, Peter "A Function Related to the Hall Ratio" Congressus Numerantium , 2016 , p.243
B. Levy, C. Edholm, O. Gaoue, R. Kaondera-Shava, M. Kgosimore, S. Lenhart, B. Lephodisa, E. Lungu, T. Marijani, F. Nyabadza "Modeling the Role of Public Health Education in Ebola Virus Disease Outbreaks in Sudan" Infectious Disease Modelling , 2017 , p.323
C.E. Chidume, O.M. Romanus and U.V. Nnyaba "An iterative algorithm for solving split equality xed point problems for a class of nonexpansive-type maps in Banach spaces" Numerical Algorithms , 2019 https://doi.org/10.1007/s11075-018-0638-4
C.E. Chidume, O.M. Romanus, and U.V. Nnyaba "An iterative algorithm for solving split equilibrium problems and split equality variational inclusions for a class of nonexpansive-type maps" Optimization , 2018 https://doi.org/10.1080/02331934.2018.1503270
C.E. Chidume, U.V. Nnyaba and O.M. Romanus "A new algorithm for variational inequality problems with a generalized phi-strongly monotone map over the set of common ?xed points of a ?nite family of quasi-phi-nonexpansive maps, with applications" J. Fixed Point Theory Appl. , v.20 , 2018 https://doi.org/10.1007/s11784-018-0502-0
C.E. Chidume, U.V. Nnyaba and O.M. Romanus "Some iterative algorithms for approximating solutions of nonlinear operator equations in Banach spaces" Journal of Fixed Point Theory and Applications , v.21 , 2019 , p.68
C. Edholm, B. Levy, A. Abebe, T. Marijani, S. Le Fevre, S. Lenhart, A.A. Yakubu, F. Nyabadza "A Risk Structured Mathematical Model of Buruli Ulcer Disease in Ghana" Mathematics of Planet Earth , 2019 , p.109 https://doi.org/10.1007/978-3-030-22044-0_5
Chibaya, S., Kgosimore, M., and Massawe, E.S. "Mathematical Analysis of Drug Resistance in Vertical Transmission of HIV/AIDS" Open Journal of Epidemiology , v.2013 , 2013 , p.139 10.4236/ojepi.2013.33021
Chibaya, S., Kgosimore, M., and Massawe, E.S. "Mathematical Analysis of Vertical Transmission Model of HIV/AIDS with Treatment" International Journal of Research and Reviews in Applicable Mathematics and Computer Science , v.3 , 2013
(Showing: 1 - 10 of 29)

PROJECT OUTCOMES REPORT

Disclaimer

This Project Outcomes Report for the General Public is displayed verbatim as submitted by the Principal Investigator (PI) for this award. Any opinions, findings, and conclusions or recommendations expressed in this Report are those of the PI and do not necessarily reflect the views of the National Science Foundation; NSF has not approved or endorsed its content.

The US-Africa Collaborative Research Network (CRN) consists of US and African researchers in several areas of mathematical sciences, together with additional collaborators from Europe, Canada, and Asia. The network consists of 65 senior research faculty (28 Sub-Saharan Africa, 28 US, 1 Canada, 6 Europe, and 2 China) from 34 universities and 4 research organizations.

The primary objectives of the network are to drastically increase both the quantity and quality of research publications and the number of PhD degrees, especially among women and underrepresented minorities, in each of the areas represented by the 7 research teams in both the US and Sub-Saharan Africa, and promote research collaboration between US and Sub-Saharan Africa mathematicians. In particular, the network aims to produce (a) high quality new PhDs in the US and in Sub-Saharan Africa, (b) numerous high quality joint research publications, and (c) reputable US-Africa research partnerships in mathematical sciences among researchers from diverse backgrounds; and thus have long lasting impact on research collaboration and human infrastructure in US and Sub-Saharan Africa.

Members of the CRN meet together annually during the Masamu Advanced Study Institute (MASI) and Research Workshop, held each year in Sub-Saharan Africa in conjunction with the Southern Africa Mathematical Sciences Association (SAMSA) Annual Conference. Each year during the MASI, faculty members of the CRN gather with postdoctoral fellows, graduate students, and undergraduate students in mathematics to collaborate on research problems in the following areas: Algebra and Geometry; Analysis and Topology; Graph Theory, Coding Theory and Information Theory; Mathematical Biology; Climate Change and Impacts; Biostatistics and Data Science; and Mathematics of Finance and Statistics.

Research groups have developed new mathematical models and ideas that will contribute to mathematics and mathematical biology disciplines. Results have been published in numerous peer-reviewed journals and presented at regional, national, and international mathematics conferences. Student participants have been successful in obtaining Bachelor, Master, and PhD degrees and receiving faculty and post-doctoral appointments. Faculty participants have received numerous awards and recognitions for their work stemming from the program. Following the funding period for this award, communication within and between research groups will continue, leading to the generation of additional knowledge and findings.

 


Last Modified: 11/22/2019
Modified by: Overtoun M Jenda

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