Publications
Necibe Tuncer, Chindu Mohanakumar, Samuel Swanson, Maia Martcheva, "Efficacy of control measures in the control of Ebola, Liberia 2014-2015,'' submitted.
Hayriye Gulbudak, Vincent Cannataro, Necibe Tuncer, Maia Martcheva, "Modeling host-pathogen interaction in a nested immuno-epidemiological vector-host model with applications to arbovirus diseases,'' submitted.
Fengqi Yi, Fei Yu, Necibe Tuncer, Gaetana Gambino, Maria Lombardo, "Dynamics and pattern formation of the Sporns-Seelig model: linear diffusion versus nonlinear diffusion,'' submitted.
Necibe Tuncer, Hayriye Gulbudak, Vincent Cannataro, Maia Martcheva, "Structural and practical identifiability issues of immuno-epidemiological vector-host models," submitted.
Liming Cai, Xuezhi Li, Necibe Tuncer, Maia Martcheva, Abid Ali Lashari,
"Optimal control of a malaria model with asymptomatic class and superinfection,'' submitted.
Yixiang Wu, Necibe Tuncer, Maia Martcheva, "Coexistence and competitive exclusion in an SIS model with standard incidence and diffusion," to appear Discrete and Continuous Dynamical Systems - Series B.
Maia Martcheva, Necibe Tuncer, Colette St Mary, “Coupling Within-Host and Between-Host Infectious Diseases Models," BIOMATH, Vol 4 (2), p.1-12, (2015).
Necibe Tuncer and Anotida Madzvamuse, “Finite element method for pattern formation on evolving surfaces,'' to appear at Communications in Computational Physics.
Necibe Tuncer, Juan Torres, Maia Martcheva, Michael Barfield, Robert D. Holt, “Dynamics of low pathogenic and high pathogenic avian influenza H5N1 virus in wild and domestic birds,'' Journal of Biological Dynamics, 10:1, 104-139, (2016).
Maia Martcheva, Necibe Tuncer, Yena Kim "On the principle for host evolution in host-pathogen interactions,'' Journal of Biological Dynamics, doi:10.1080/17513758.2016.1161089, p. 1-16, (2016).
Fengqi Yi, Siyu Liu, Necibe Tuncer, “Spatiotemporal patterns and bifurcations of a homogeneous diffusive substrate-inhibition Seelig model,'' Journal of Dynamics and Differential Equations, doi:10.1007/s10884-015-9444-z, p.1-23, (2015).
Necibe Tuncer, Juan Torres, Maia Martcheva, “Dynamics of low pathogenic and high pathogenic avian influenza virus in birds,'' Biomath Communications, Vol 1 (1), 5-11, (2014).
Necibe Tuncer and Trang Le, “The effect of air travel on the spread of avian influenza pandemic to USA,'' International Journal of Critical Infrastructure Protection, Vol 7, (1), 27-47,(2014).
Necibe Tuncer, Anotida Madzvamuse and Amnon J. Meir, “Radially projected finite elements for reaction-diffusion systems on stationary spheroidal surfaces,” Applied Numerical Mathematics, Vol 96, 45-71, (2015).
Necibe Tuncer and Maia Martcheva, “Modeling seasonality in avian influenza,” Journal of Biological Systems,Vol. 21 (4), (2013), 1340004.
Alexandra Smirnova and Necibe Tuncer, “Estimating time dependent transmission rate of avian influenza via stable numerical algorithm,” Journal of Inverse and Ill-Posed Problems, (22), N1, 31-62, (2014).
Necibe Tuncer, Juan Torres, Maia Martcheva, “Dynamics of low and high pathogenic avian influenza in wild bird population,” in “Dynamical Systems: Theory, Applications and Future Directions”, (J. Thuenche, ed.), Nova Publishers, New York, (2013), p. 235-259.
Necibe Tuncer, “Projected surface finite elements for elliptic partial differential equations," Applications and Applied Mathematics: An International Journal, Vol. 8, Issue 1, (2013), 16-33.
Necibe Tuncer and Maia Martcheva, “Analytical and numerical approaches to coexistence of strains in a two-strain SIS model with diffusion,” Journal of Biological Dynamics, Vol. 6, Issue 2, (2012), 406-439.
Alexandra Smirnova and Necibe Tuncer, “Inverse problem of groundwater hydrology by preconditioned iteratively regularized Gauss-Newton method,” Nonlinear Analysis}, Vol. 74, (2011), 5987-5998.
Amnon J. Meir and Necibe Tuncer,”Radially projected finite elements,” SIAM Journal of Scientific Computing, Vol. 31, No. 3, (2009), 2368-2385.
A. B. Bakushinsky, Alexandra B. Smirnova, and Necibe Tuncer, “Relative computational efficiency of iteratively regularized methods,”Journal of Inverse and Ill-posed Problems, 16, N7,(2008), 681-694.
Sennur Somali and Necibe Tuncer, “Shooting method and extrapolation for singular two-point boundary value problems,” International Journal of Computational and Numerical Analysis and Applications,(2004), 1-11.
Halil Oruc and Necibe Tuncer, “On the convergence and iterates of q-Bernstein polynomials,” Journal of Approximation Theory, 117 (2002), 301-313.
Halil Oruc and Necibe Tuncer, “On the q-Bernstein polynomials,” Proceedings of Algorithms for Approximations IV, Huddersfield, University Huddersfield Press, (2002), 52-59.