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Department of Mathematics

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Phone  (850)599-3755
Fax  (850)599-8480

Department of Mathematics
1617 S Martin Luther King Jr. Blvd
314 Jackson-Davis Hall
Tallahassee, Florida 32307

Dr. Kbenesh Blayneh, Associate Professor
University of Arizona, Ph.D. (1996)
Jackson Davis Hall: 304
Phone: 850-412-5228
Email: kbenesh.blayneh@famu.edu
Differential Equations,  Mathematical Biology, Dynamical Systems


 K. W. Blayneh “Vertically transmitted vector-borne diseases and the effects of extreme temperature.”, International Journal of Applied Mathematics, Vol. 30, No. 2 (2017) 177-209.   doi.org/10.12732/ijam.v30i2.8. 

 K.W. Blayneh and Jemal Mohammed-Awel, “Insecticide-resistant mosquitoes and malaria control”, Mathematical Biosciences, Vol. 252, (June 2014) 14-26. doi:10.1016/j.mbs.2014.03.007 http://www.sciencedirect.com/science/article/pii/S0025556414000649

 K.W. Blayneh,  (Book Review) Introduction to Mathematical Modeling using Discrete Dynamical Systems, JDEA,  doi:10.1080/10236198.2013.832761  http://dx.doi.org/10.1080/10236198.2013.832761, (2013).

 F.B. Agusto, S.Y. Del Valle, K. W. Blayneh, C. N. Ngunghala,  M. H. Goncalves, N. Li, R. Zhao, and H. Gong,  “ The impact of bed-net use on malaria prevalence”, Journal of Theoretical Biology, 320  (2013) 58-65.  doi:10.1016/j.jtbi.2012.12.007,  http://www.sciencedirect.com/science/journal/00225193/320

 K. W. Blayneh and Pierre Ngnepieba, “Optimal Control problems for a host-parasitoid model” International   Journal of Pure and Applied Mathematics, Vol 77, No. 4 (2012) 565-578., http://www.ijpam.eu/contents/2012-77-4/index.html

 K. W. Blayneh, A.B. Gumel, Suzanne Lenhart and Tim Clayton,  Backward bifurcation and optimal control  in the transmission dynamics of West Nile virus, Bulletin of Mathematical Biology Vol. 72 (2010), 1006-1028.  doi 10.1007/s11538-009-9480-0., http://link.springer.com/article/10.1007%2Fs11538-009-9480-0

 K. W. Blayneh, A-A Yakubu and J.  and Mohammed-Awel:  Discrete hierarchical competition with reward and cost of dispersion , Journal of Difference Equations and Applications 15:4 (2009) 399 - 414. doi:10.1080/10236190902754948., http://www.tandfonline.com/doi/full/10.1080/10236190902754948

 K. W. Blayneh, Y. Cao and Hee-Dae  Kwon, Optimal control prevention and treatment of vector-borne diseases, Discrete and Continuous Dynamics Series-B Vol. 11, No. 3 (2009) 587-611.  doi:10.3934/dcdsb.2009.11.587 , http://aimsciences.org/journals/contentsList.jsp?pubID=290

 K. W. Blayneh  and S. R. Jang,  A discrete SIS-model for a vector-transmitted disease; Applicable Analysis, Vol. 85, No. 10 (2006), 1271-1284.  doi:10.1080/00036810600841498, http://www.tandfonline.com/toc/gapa20/85/10

 K. W. Blayneh  and  L.-I. W. Roeger, Asymptotic Dynamics of Age-Structured Host-parasitoid  Models; Applicable Analysis, Vol. 83, No. 8 (2004), 787-798.   doi:10.1080/00036810410001658160, http://www.tandfonline.com/doi/full/10.1080/00036810410001658160

 K. W. Blayneh  Hierarchical Discrete Models of Competition for a Resource; Journal of Difference Equations and Applications, Vol.10, No. 3 (2004), 231-247.   doi:10.1080/10236190310001625262,  http://www.tandfonline.com/doi/full/10.1080/10236190310001625262

 K. W. Blayneh  Analysis of Age-Structured Host-Parasitoid Model; Far East Journal of Dynamical Systems, Vol.  4, No. 2 (2002), 125-145.,  http://www.pphmj.com/journals/articles/107.htm

  K. W. Blayneh  A Hierarchical Size-Structured Population Model; Dynamic Systems and Application, 9 (2000), 527-540.

 K. W. Blayneh  Asymptotic Dynamics of the Density of a Hierarchical Size-Structured Population Model; Journal of Nonlinear Studies Vol. 1, No. 1 (2000), 36-42.

K. W. Blayneh  Cannibalism in a Seasonal Environment;      Mathematical and Computer 
Modeling (30) (1999), 41- 51.  doi:10.1016/S0895-7177(99)00114-4, http://www.sciencedirect.com/science/journal/08957177/30/1-2

 K. W. Blayneh  A Coupled Pair of Equations Related to a Hierarchical Size-Structured Population Model; Proceedings of Dynamic Systems and Applications, Vol. 3 (2001), 85-90.

K. W. Blayneh
   Application of Discrete Hierarchical Model to Intra-specific Competition; Proceedings of Nonlinear Problems in Aviation and Aerospace, Vol. 1 (2000), 87-92.

Invited talks

01/08/16: The effects of extreme climate conditions on vertically transmitted vector-borne diseases. Session name: Special Session on Mathematics in Natural Resource Modeling, II, Conference name:  -2016 Joint Mathematics Meetings, Washington State Convention Center, Seattle, WA.

: Optimal Control of Vector-Borne Diseases: Treatment and Prevention. Session name: Special Session on Mathematical Biology: Modeling, Analysis and Simulations, IV. Conference name: 1044th AMS Meeting at the University of Alabama in Huntsville, Huntsville, Alabama.

07/05/08:  Control of Vector-borne Diseases. Session name: Applied Dynamical Systems and Computations in Biology. Conference name: Fifth World Congress of Nonlinear Analysts July 2 -9, 2008. Hyatt Grand Cypress in Orlando, FL. (also a session organizer).

10/05/07: The dynamics of a vector-borne disease. Conference title: Mathematical Modeling and Analysis of Populations in Biological Systems. Place: Tucson, Arizona.

 06/01/07: A discrete  SIS-Model for a Vector-Transmitted Disease, Session name: Difference Equations and Applications – III. Conference name: Fifth International Conference on Dynamic Systems and Applications, Atlanta, GA..

3/24/07:  Poster presentation on Vector-transmitted Diseases; Mathematical Bioscience. Institute (MBI) workshop on Opportunities in Mathematical Biology for Under-Represented Groups, Ohio State University, Columbus, OH.

06/02/05: Age-Hierarchical Competition and the Effect of Dispersion, summer workshop on Inter-Disciplinary Research Experience for Undergraduates, FAMU.

09/18/04: Discrete Models for Intra Specific Competition at SEAMS Workshop (“Cha-Cha Days” for Charleston and Chapel Hill), Charleston, SC.

10/03/03: Age-Hierarchical Competitions and the Effects of Dispersion. Preliminary report. AMS Regional Meeting, Special Session on Structured Population and Epidemic models: Periodicity, Chaos, and Extinction, III.

11/18/02: The Impact of Dispersion on the Dynamics of Local and Combined Population: a Discrete Model at a Biomathematics Seminar, Department of Mathematics and Statistics at Texas Tech University, Lubbock, TX.

07/27/01 - 07/31/01: The Dynamics of Discrete-Hierarchical Model and its Applications, at International Conference on Dynamics of Continuous, Discrete and Impulsive Systems, in London, Ontario, Canada.

05/10/00 - 05/12/00: Application of Discrete-Hierarchical Model to Intra-specific competition at the Third International Conference on Nonlinear Problems in Aviation and Aerospace, Daytona Beach, FL.

06/03/97 - 06/08/97: Hierarchical Size-Structured Model for Scramble and Contest Competition at  NSF-CBMS conference on dynamical systems in structured population dynamics, North Carolina State University, Raleigh, NC.

Membership of Professional Organization

Society for Mathematical Biology (SMB)

Association for Women in Mathematics (AWM)

Service in Professional Societies

7/2/08 - 7/9/08: The Fifth World Congress of Nonlinear Analyst, Orlando, FL, organized a Session on Applied Dynamical Systems and Computations in Biology (with Lih-Ing Roeger, Texas Tech University).

01/28/06:  Florida Georgia Louis Stokes Alliance Minority Program (FGLSAMP) at Albany State University, participated as a judge of poster presentations.

03/25/05 - 03/26/05: SIAM, the 29th Annual Society for Industrial and Applied Mathematics  Southeast Atlantic Section Meeting: SIAM-SEAS 2005, at the Citadel and College of  Charleston, Charleston, SC, participated as a mini-symposium organizer (with Gery Harrison, College of Charleston).

01/17/03: AWM; mentor for new women Ph. D.’s and senior graduate students in mathematics.

11/2000:  Big Bend Section of MAA, member of the planning committee.

10/04/01 – 10/06/01: National Association of Mathematics (NAM)-Eleventh Undergraduate MathFest at FAMU, served in the organizing committee.

Refered by the following Journals to review articles

Mathematical Biosciences, Scientific Journal International,

Rocky Mountain Journal of Mathematics, International Journal of Mathematics and Mathematical Sciences,

Journal of Difference Equations and Applications,   Journal of Biological Dynamics,

Nonlinear Analysis,    BioMed Central (BMC) Public Health.