Publications

51. Archana Timsina, Yuganthi Liyanage, Necibe Tuncer, Maia Martcheva  "A Novel Within-Host Model of HIV and Nutrition,'' Mathematical Biosciences and Engineering, Volume 21, Issue 4, p. 5577-5603, doi: 10.3934/mbe.2024246, (2024).

50. Osman Isik, Necibe Tuncer, Maia Martcheva, "Mathematical model of measles in Turkey,'' Journal of Biological Systems, https://doi.org/10.1142/S0218339024500323, (2024).\\

49. Eric Numfor, Necibe Tuncer, Maia Martcheva, "Optimal control of a multi-scale HIV-Opioid model,'' {Journal of Biological Dynamics, Volume 18, Issue 1, 2317245, p.1-36, (2024).

48. Nora Heitzman-Breen, Yuganthi R. Liyanage, Nisha Dugal, Necibe Tuncer, Stanca Ciupe, "The effect of model structure and data availability on Usutu virus dynamics at three biological scales," Royal Society Open Science, Volume 11, Issue 2,  231146, (2024) https://doi.org/10.1098/rsos.231146Royal Society.

47. Tugba Akman, Emek Kose, Necibe Tuncer, "Assessment of Vaccination and Underreporting on COVID-19 Infections in Turkey Based On Effective Reproduction Number,'' International Journal of Biomathematics, https://doi.org/10.1142/S1793524523501024, (2024).

46.  Vivek Sreejithkumar, Kia Ghods,  Tharusha Bandara, Maia Martcheva, Necibe Tuncer, "Modeling the interplay between albumin-globulin metabolism and HIV infection,'' Mathematical Biosciences and Engineering, Volume 20, Issue 11, p.19527-19552, (2023).

45.  Gerardo Chowell, Sushma Dahal, Yuganthi Liyanage, Amna Tariq, Necibe Tuncer, "Structural identifiability analysis of epidemic models based on differential equations: a tutorial-based primer,'' Journal of Mathematical Biology, Volume 87, Issue 6, Article Number 79, (2023).

44. Churni Gupta, Necibe Tuncer, Maia Martcheva, “A Network Immuno-epidemiological model of HIV and opioid epidemics,” Mathematical Biosciences and Engineering, Volume, 20, Issue 2, p.4040–4068, (2023).

43. Jorge Gonzales, J. D. Mireles James, Necibe Tuncer, “Finite element approximation of invari- ant manifold by the parametrization method,” Partial Differential Equations and Applications , Volume 3, Issue 75, p. 38, (2022).

42. Stanca Cuipe, Necibe Tuncer, “Identifiability of parameters in mathematical models of SARS- CoV-2 infections in humans,” Scientific Reports , Volume 12, Number 14637, (2022).

41. Necibe Tuncer, Archana Timsina, Miriam Nuno, Gerardo Chowell, Maia Martcheva,“Parameter identifiability and optimal control of a SARS-CoV-2 model early in the pandemic,” Journal of Biological Dynamics , Volume 16, Issue 1, p.412-438, (2022).

40. Laura Nemeth, Necibe Tuncer and Maia Martcheva, “Structural and practical identifiability analysis of multiscale immuno-epidemiological model,” Computational and Population Dynamics, (N. Tuncer, M. Martcheva, L. Childs, O. Prosper, eds), World Scientific, New Jersey, (2023).

39. Archana Timsina and Necibe Tuncer, “Dynamics and optimal control of HIV infection and opioid addiction,” Computational and Population Dynamics, (N. Tuncer, M. Martcheva, L. Childs, O. Prosper, eds), World Scientific, New Jersey, (2023).

38. Maia Martcheva, Abdul-Aziz Yakubu and Necibe Tuncer, “Novel Hybrid Continuous-Discrete- Time Epidemic Models,” Computational and Population Dynamics, (N. Tuncer, M. Martcheva, L. Childs, O. Prosper, eds), World Scientific, New Jersey, (2023).

37. Churni Gupta, Necibe Tuncer, Maia Martcheva, “Immuno-epidemiological co-affection model of HIV infection and opioid addiction,” Mathematical Biosciences and Engineering, Volume 19, Issue 4, p.3636-3672, (2022).

36.  Hayriye Gulbudak, Zhuolin Qu, Necibe Tuncer and Fabio Milner, "Sensitivity analysis in an immuno-epidemiological vector-host model," Bulletin of Mathematical Biology, Volume 84, Issue 1, Article 27. p 1-32, (2022).

35. Vivek Srejithkumar and Necibe Tuncer (as faculty advisor), "The evolution of the identifiability analysis of the COVID-19 virus," SIAM Undergraduate Research Journal, Volume 14, (2021).

34. Necibe Tuncer, Maia Martcheva, "Determining reliable parameter estimates for within-host and within-vector models of Zika virus, " Journal of Biological Dynamics, Volume 15, Issue 1, (2021).

33. Maia Martcheva, Necibe Tuncer and Calistus Nhonghala, "Effects of social-distancing on infectious disease dynamics: an evolutionary game theory and economic perspective," Journal of Biological Dynamics, Volume 15, Issue 1, (2021).

32. Necibe Tuncer, Sunil Giri, “Dynamics of a vector-borne model with direct transmission and age of infection,” Mathematical Modelling of Natural Phenomena, Volume 16, Issue 28, (2021).

31. Churni Gupta, Necibe Tuncer, Maia Martcheva, “A Network immune-epidmiological HIV Model,” Bulletin of Mathematical Biology, Volume 83, Issue 18 (2020).

30. Berrouet, C., Dorilas, N., Rejniak, K.A., Tuncer N. Comparison of Drug Inhibitory Effects (IC50) in Monolayer and Spheroid Cultures, Bulletin of Mathematical Biology, Volume 82, Issue 68, (2020).

29. Necibe Tuncer, Chindu Mohanakumar, Samuel Swanson, Maia Martcheva, "Efficacy of control measures in the control of Ebola, Liberia 2014 - 2015,''Journal of Biological Dynamics, Volume 12, Issue 1, p. 913-937, (2018).

28. Necibe Tuncer, Trang Le “Structural and practical identifiability analysis of outbreak models,” Mathematical Biosciences, Volume 299, p. 1-18, (2018).

27. Necibe Tuncer, Maia Martcheva, Brian LaBarre, Sabrina Payoute, “Structural and practical identifiability analysis of Zika epidemiological models,” Bulletin of Mathematical Biology, Vol- ume 80, Issue 8, p. 2209-2241, (2018)

26. Micheal Barfield, Maia Martcheva, Necibe Tuncer, Robert D. Holt, “Backward bifurcation and oscillations in a nested immuno-eco-epidemiological model,” Journal of Biological Dynamics , Volume 12, Issue 1, p. 51-88, (2018).

25. Anaia da Paixao Seva, Maia Martcheva, Necibe Tuncer, Isabella Fontana, Eugenia Carrillo, Javier Moreno, James Keesling “Prevention and control measures efficacies in leishmaniasis applied during a leishmaniasis outbreak in Southwest Madrid, Spain,” PLoS One, Volume 12, Issue 10, (2017).

24. Hayriye Gulbudak, Vincent Cannataro, Necibe Tuncer, Maia Martcheva, "Vector-borne pathogen and host evolution in a structured immuno-epidemiological system,” Bulletin of Mathematical Biology, Volume 79, Issue 2, p. 325-355, (2017).

23. Liming Cai, Xuezhi Li, Necibe Tuncer, Maia Martcheva, Abid Ali Lashari, "Optimal control of a malaria model with asymptomatic class and superinfection,'' Mathematical Biosciences, Volume 288, p.94-108, (2017).

22. Liming Cai, Necibe Tuncer, Maia Martcheva, “How does within-host dynamics affect population- level dynamics? Insights from an immuno-epidemiological model of malaria,” Mathematical Methods in Applied Sciences , p. 1- 27, (2017).

21. 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, Volume 22, Issue 3, p. 1167 - 1187, (2017).

20. Necibe Tuncer and Anotida Madzvamuse, “Finite element method for pattern formation on evolving surfaces,'' Communications in Computational Physics, Volume 21, Issue 3, p. 718-747, (2017).

19. Maia Martcheva, Necibe Tuncer, Yena Kim "On the principle for host evolution in host-pathogen interactions,'' Journal of Biological Dynamics, Volume 11, Issue 1, p. 102-119, (2017).

18. Fengqi Yi, Siyu Liu, Necibe Tuncer, “Spatiotemporal patterns and bifurcations of a homogeneous diffusive substrate-inhibition Seelig model,'' Journal of Dynamics and Differential Equations, Volume 29, Issue 1, p.219-241, (2017).

17. Necibe Tuncer, Hayriye Gulbudak, Vincent Cannataro, Maia Martcheva, "Structural and practical identifiability issues of immuno-epidemiological vector-host models," Bulletin of Mathematical Biology, Volume 78, Issue 9, p.1796-1827, (2016).

16. 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).

15. 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).

14. Maia Martcheva, Necibe Tuncer, Colette St Mary, “Coupling Within-Host and Between-Host Infectious Diseases Models," BIOMATH, Vol 4 (2), p.1-12, (2015).

13. 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).

12. 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).

11. 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).

10. Necibe Tuncer and Maia Martcheva, “Modeling seasonality in avian influenza,” Journal of Biological Systems, Vol. 21 (4), (2013), 1340004.

9. 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, p. 235-259, (2013).

8. Necibe Tuncer, “Projected surface finite elements for elliptic partial differential equations," Applications and Applied Mathematics: An International Journal, Vol. 8, Issue 1, p. 16-33, (2013).

7. 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, p 406-439, (2012).

6. Alexandra Smirnova and Necibe Tuncer, “Inverse problem of groundwater hydrology by preconditioned iteratively regularized Gauss-Newton method,” Nonlinear Analysis, Vol. 74, p 5987-5998, (2011).

5. Amnon J. Meir and Necibe Tuncer, "Radially projected finite elements,” SIAM Journal of Scientific Computing, Vol. 31, No. 3, p. 2368-2385, (2009).

4. 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, p. 681-694, (2008).

3. 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, p. 1-11, (2004).

2. Halil Oruc and Necibe Tuncer, “On the convergence and iterates of q-Bernstein polynomials,” Journal of Approximation Theory, 117, p. 301-313, (2002).

1. Halil Oruc and Necibe Tuncer, “On the q-Bernstein polynomials,” Proceedings of Algorithms for Approximations IV, Huddersfield, University Huddersfield Press, p. 52-59, (2002).