- Pseudo-chaotic oscillations in CRISPR-virus coevolution predicted by bifurcation analysis
Faina S Berezovskaya
National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health, Bethesda, MD 20894, USA
Biol Direct 9:13. 2014
..Mathematical modeling and initial experimental studies of CRISPR-carrying microbes and viruses reveal complex coevolutionary dynamics...
- Gene family evolution: an in-depth theoretical and simulation analysis of non-linear birth-death-innovation models
Georgy P Karev
National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health, Bethesda, MD 20894, USA
BMC Evol Biol 4:32. 2004
..Evolution of ensembles of gene families can be described with Birth, Death, and Innovation Models (BDIMs). Analysis of the properties of different versions of BDIMs has the potential of revealing important features of genome evolution...
- Parametric analysis of the ratio-dependent predator-prey model
F Berezovskaya
Center for Problems of Forest Ecology and Productivity, Russian Academy of Sciences, Moscow
J Math Biol 43:221-46. 2001
..The biological relevance of the mathematical results is discussed both regarding conservation issues (for which coexistence is desired) and biological control (for which extinction is desired)...
- "Traveling wave" solutions of FitzHugh model with cross-diffusion
Faina Berezovskaya
Department of Mathematics, Howard University, Washington DC 20059, USA
Math Biosci Eng 5:239-60. 2008
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- A simple epidemic model with surprising dynamics
Faina Berezovsky
Mathematical Department Howard University, Washington D C 20059
Math Biosci Eng 2:133-52. 2005
..A family of homoclinics is found, suggesting that a disease outbreak would be ignited by a tiny number of infectious individuals...
- Dynamics of population communities with prey migrations and Allee effects: a bifurcation approach
Faina Berezovskaya
Department of Mathematics, Howard University, Washington, DC 20059, USA
Math Med Biol 28:129-52. 2011
..It is argued that, in general, evolution should favour heterogeneous settings including Allee effects, prey refuges and patch-specific predators...
- Population models with singular equilibrium
Faina S Berezovskaya
Howard University, 6 th Str, Washington, DC 20059, USA
Math Biosci 208:270-99. 2007
..In particular, we analyze a model of anticancer treatment with oncolytic viruses, a parasite-host interaction model, and a model of Chagas' disease...