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Zoi Rapti is an applied mathematician with principal research interests in Differential Equations, Modelling, and Mathematical Biology.

In Differential Equations and Dynamical Systems, her work to date has been primarily concerned with the study of stability of solutions to nonlinear evolution equations, the study of the spectrum of certain perturbed Schrodinger Equations, and the stability of solutions of discrete equations, such as the nonlinear Klein-Gordon and Schrodinger equations.

In Mathematical Biology, she has investigated the relation between the thermal denaturation profiles of DNA sequences and the location of promoters -- regions of DNA providing a control point for regulated gene transcription -- and other significant regulatory regions. More recently, she has been working on disease models both for human epidemics and epidemics of the model organism Daphnia focusing on how community ecology, such as competitors and predators, shape the epidemics. A particular focus is on multiple-host multiple-pathogen interactions.

Other projects include the study of microbial communities in mosquito populations, the effect of larval competition in Dengue virus-infected mosquitoes, the quantification and analysis of bumble bee color patterns, the modeling and analysis of gene regulatory networks in mammalian limb development, and bacterium-phage dynamics. 

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