Manuscripts that are submitted or in preparation

  1. Indirect effects in a planktonic disease system, Z. Rapti, T. E. Stewart, B. Mueller-Brennan, J. H. Kavouras, C. E. Caceres. (Submitted)

  2. 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)

Published or accepted articles

  1. Applications of a class of Herglotz operator pencils, A. K. Barreiro, J. C. Bronski and Z. Rapti, accepted in SIAM Journal on Mathematical Analysis.

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

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

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

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

  12. 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

  13. 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

  14. 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

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

  16. 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

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

  18. 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

  19. 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

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

  21. 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

  22. 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

  23. 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

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

  25. 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

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

  27. 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

  28. 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

  29. 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

  30. 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

  31. 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

  32. 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).

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