Manuscripts that are submitted or in preparation

  • Spatial structure determines occupancy dynamics in a newly established metapopulation, C. J. Holmes, Z. Rapti, J. H. Pantel, K. L. Schulz and C. E. Caceres. (Submitted)

  • Host controls of within-host disease dynamics, T. Stewart Merril, Z. Rapti and C. E. Caceres, (Submitted)

  • Symbiosis, Stability, and Persistence, L. DeVille, S. Park and Z. Rapti, (Submitted)

    Published or accepted articles

    1. Modeling the control of bacterial infections via antibiotic-induced proviruses, S. M. Clifton, T. Kim, J. H. Chandrashekhar, G. A. O'Toole, Z. Rapti, and R. J. Whitaker, mSystems 4 e00221-19 (2019). Article

    2. Indirect effects in a planktonic disease system, Z. Rapti, T. E. Stewart, B. Mueller-Brennan, J. H. Kavouras, C. E. Caceres, Theoretical Population Biology, in press. Article

    3. Applications of a class of Herglotz operator pencils, A. K. Barreiro, J. C. Bronski and Z. Rapti, SIAM Journal on Mathematical Analysis 51, 256-275 (2019). Article

    4. Stochastic stability and dynamics of a two-dimensional structurally nonlinear airfoil in turbulent flow, P. Singh, H. C. Yeong, H. Zhang, Z. Rapti and N.S. Namachchivaya, Meccanica 51, 23665-2688 (2016). Article

    5. Effects of intrinsic and extrinsic host mortality on disease spread, Z. Rapti and C. E. Caceres, Bulletin of Mathematical Biology 78, 235-253 (2016) . Article

    6. The relationship between gene network structure and expression variation within populations and over evolutionary time, Karen E. Sears, Jennifer Maier, Marcelo R. Astroza, Rachel Poe, Sheng Zhong, Kari Kosog, Richard R. Behringer, Chris J. Cretekos, John J. Rasweiler IV and Zoi Rapti, (2 BIOMATH undergraduate students are co-authors), PLoS Genetics, August 28, 2015. Article and Press Release

    7. Effect of larval competition on the extrinsic incubation period and vectorial capacity of Aedes albopictus for dengue virus, Jeffrey J Bara, Zoi Rapti, Carla Caceres, and Ephantus J. Muturi, PLoS One, May 7 2015. Article

    8. Non-holonomic constraints and their impact on discretizations of Klein-Gordon lattice dynamical models, P. G. Kevrekidis, V. Putkaradze, and Z. Rapti, Dynamical Systems and Differential Equations, AIMS Proceedings 2015, Proceedings of the 10th AIMS International Conference (Madrid, Spain), pages 696-704 Article

    9. Complex Daphnia interactions with parasites and competitors, C. E. Caceres, G. Davis, S. Duple, S. Hall, A. Koss, P. Lee, Z. Rapti, (4 BIOMATH undergraduate students are co-authors), Mathematical Biosciences 258, 148-161 (2014). Article

    10. Defining the color pattern phenotype underlying mimicry in bumble bees, Zoi Rapti, M. Duennes, S. A. Cameron, Biological Journal of the Linnean Society 113, 384-404 (2014). Article

    11. Optimal Nudging in Particle Filters (with N. Lingala, N. Perkowski, H.C. Yeong, N. Sri Namachchivaya), Probabilistic Engineering Mechanics 37 160-169 (2014). Article

    12. Approximate ILM dynamics in DNA models (with V. Putkaradze), The 2013 International Symposium on Nonlinear Theory and its Applications. Article

    13. Multibreather stability in discrete Klein-Gordon equations: Beyond nearest neighbor interactions, Phys. Lett. A. 377, 1543-1553 (2013). Article

    14. Stability of a stochastic two-dimensional non-Hamiltonian system, (with R. E. Lee DeVille and N. Sri Namachchivaya), SIAM J. Appl. Math. 71, 1458-1475 (2011). Article

    15. Data assimilation in the detection of vortices using lagrangian tracers, (with Barreiro A., Chikkerur V., Jiang Y., Yeong H. C., Sri Namachchivaya N), 7th ENOC Proceedings, Rome, Italy, July 24-29 2011. Article

    16. The transfer integral operator method in the study of DNA unzipping and bubble formation, (with K. O. Rasmussen and A. R. Bishop), Journal of Nonlinear Mathematical Physics 18 (2), 381-396 (2011). Article

    17. Counting defect modes in periodic eigenvalue problems, (with J. Bronski), SIAM J. Math. Anal. 43, no. 2, 803–827 (2011). Article

    18. Computing DNA duplex instability profiles efficiently with a two-state model: trends of promoters and binding sites, (with M. R. Kantorovitz, V. Gelev, and A. Usheva), BMC Bioinformatics 11, 604 (2010). Article

    19. Stationary solutions for a modified Peyrard-Bishop DNA model with up to third-neighbor interactions, Eur. Phys. J. E 32, 209-216 (2010). Article

    20. Soliton dynamics in linearly coupled discrete nonlinear Schrödinger equations (with A. Trombettoni, H. E. Nistazakis, D. J. Frantzeskakis, P. G. Kevrekidis), Mathematics and Computers in Simulation 80, 814–824 (2009). Article

    21. Rabi switch of condensate wave functions in a multicomponent Bose gas (with H. E. Nistazakis, D. J. Frantzeskakis, P. G. Kevrekidis, P. Sodano, and A. Trombettoni), Phys. Rev. A 78, 023635 (2008). Article

    22. Profiling the thermodynamic softness of adenoviral promoters (with Chu Hwan Choi, Vladimir Gelev, et. al.), Biophys. J. Vol. 95, 597-608 (2008). Article

    23. Solitary Waves Under the Competition of Linear and Nonlinear Periodic Potentials (with P.G. Kevrekidis, V.V. Konotop, and C.K.R.T. Jones), J. Phys. A., 40, 14151-14163 (2007). Article

    24. Healing Length and Bubble Formation in DNA (with A. Smerzi, K.O. Rasmussen, A.R. Bishop, C.H. Choi and A. Usheva), Phys. Rev. E. Vol. 73, 051902 (2006). Article

    25. Lengthscales and Cooperativity in DNA Bubble Formation (with A. Smerzi, K.O. Rasmussen, A.R. Bishop, C.H. Choi and A. Usheva), Europhysics Letters, Vol. 74 (2006) 540-546. Article

    26. Modulational Instabilities for Nonlinear Schrodinger Equations With a Periodic Potential (with J. C. Bronski), Dynamics of PDE, Vol. 2 (2005) 335-355. Article

    27. Transient Radiative Behavior of Hamiltonian Systems in Finite Domains (with M.I. Weinstein and P.G. Kevrekidis), Physics Letters A, Vol. 345 (2005) 1-9. Article

    28. Variational Approach to the Modulational Instability (with A. Smerzi, P.G. Kevrekidis and A.R. Bishop), Phys. Rev. E 69,017601 (2004). Article

    29. Modulational and Parametric Instabilities of the Discrete Nonlinear Schrodinger Equation (with P.G. Kevrekidis, A. Smerzi and A. R. Bishop), J. Phys. B: At. Mol. Opt. Phys. 37, (2004) S257-264. Article

    30. On the Modulational Instability of the Nonlinear Schrodinger Equation with Dissipation (with P.G. Kevrekidis, D.J. Frantzeskakis and B.A. Malomed), Phys. Scr. Vol. T 113, (2004) 74. Article

    31. Modulational Instability in Coupled Disrete Nonlinear Schrodinger Equations (with A. Trombettoni, P.G. Kevrekidis, D.J. Frantzeskakis, B.A. Malomed and A. R. Bishop), Physics Letters A Vol. 330, (2004) 95. Article

    32. Modulational Instability in Bose-Einstein Condensates under Feshbach Resonance Management (with G. Theocharis, P.G. Kevrekidis, D.J. Frantzeskakis and B.A. Malomed), Phys. Scr. Vol. T 107, (2004) 27. Article

    33. On the Modulational Stability of Gross-Pittaevskii Type Equations in 1+1 Dimensions (with G. Theocharis, P.G. Kevrekidis, D.J. Frantzeskakis and V.V. Konotop), Phys. Rev. A 67, 063610 (2003). Article

    34. On the Modulational Stability of Gross-Pittaevskii Type Equations in 1+1 Dimensions (with P.G. Kevrekidis and V.V. Konotop), Proceedings of the Third Conference on Localization and Energy Transfer in Nonlinear Systems, San Lorenzo de El Escorial Madrid, (2002).

    35. An Exterior Mixed Boundary Value Problem for the Helmholtz Equation (with K. Kiriaki), Bull. of the Greek Math. Soc. 45 (2001), 43-55.