Publications

PUBLICATIONS                   

BOOK

Bratus’, A.S., Novozhilov, A.S., Platonov, A.P.: Dynamical Systems and Models in Biology, Moscow: FizMatLit, 2010, 400 pages, in Russian, ISBN: 978-5-9221-1192-8

Contents (pdf)

PAPERS IN REFEREED JOURNALS

• Novozhilov, A.S.:  Epidemiological models with parametric heterogeneity: Deterministic theory for closed populations, Mathematical Modelling of Natural Resources, 2012, 7(3): 147–167 (pdf)

• Novozhilov, A.S., Posvyanskii, V.P., Bratus, A.S.: On the reaction–diffusion replicator systems: Spatial patterns and asymptotic behavior, Russian Journal of Numerical Analysis and Mathematical Modelling, 2011, 26(6):555–564 (pdf)

• Bratus’, A.S., Posvyanskii, V.P., Novozhilov, A.S.: Replicator equation and explicit space: The case of global regulation, Mathematical Biosciences & Engineering, 2011, 8(3):659–676  (pdf)

• Karev, G.P., Novozhilov, A.S., Berezovskaya, F.S.: On the asymptotic behavior of the solutions to the replicator equation. Mathematical Medicine & Biology, 2011, 28(2):89–110, doi:10.1093/imammb/dqq006 (pdf)

• Bratus’, A.S., Posvyanskii, V.P., Novozhilov, A.S.: Existence and stability of stationary solutions to spatially extended autocatalytic and hypercyclic systems under global regulation and with nonlinear growth rates. Nonlinear Analysis Series B: Real World Applications, 2010, 11(3):1897-1917, doi:10.1016/j.nonrwa.2009.04.013 (pdf)

• Novozhilov, A.S., Koonin, E.V.: Exceptional error minimization in putative primordial genetic codes. Biology Direct. 2009, 4(44), doi:10.1186/1745-6150-4-44 (pdf)

• Koonin, E.V., Novozhilov, A.S.: Origin and evolution of the genetic code: The universal enigma. IUBMB Life. 2009, 61(2), 99–111, doi:10.1002/iub.146 (pdf)

• Novozhilov A.S.: Heterogeneous Susceptibles–Infectives model: Mechanistic derivation of the power law transmission function. Dynamics of Continuous, Discrete and Impulsive Systems (Series A, Mathematical Analysis). 2009, 16(S1), Suppl., 136-140 (pdf)

• Berezovskaya, F.S., Karev, G.P., Novozhilov, A.S.: Pure cross-diffusion models: Implications for traveling wave solutions. Dynamics of Continuous, Discrete and Impulsive Systems (Series A, Mathematical Analysis) 2009, 16(S1), Suppl., 141-146 (pdf)

• Novozhilov, A.S.: On the spread of epidemics in a closed heterogeneous population. Mathematical Biosciences. 2008, 215, 177-185, doi:10.1016/j.mbs.2008.07.010 (pdf)

• Berezovskaya, F.S., Novozhilov, A.S., Karev, G.P.: Families of traveling impulses and fronts in some models with cross-diffusion. Nonlinear Analysis: Real World Applications. 2008, 9: 1866-1881, doi: 10.1016/j.nonrwa.2007.06.001 (pdf)

• Karev, G.P., Novozhilov, A.S., Berezovskaya F.S.: Modeling the dynamics of inhomogeneous natural rotifer populations under toxicant exposure. Ecological Modeling. 2008, 212(1-2): 80-85, doi:10.1016/j.ecolmodel.2007.10.011 (pdf)

• Novozhilov, A.S., Wolf, Y.I., Koonin, E.V.: Evolution of the genetic code: partial optimization of a random code for robustness to translation error in a rugged fitness landscape. Biology Direct. 2007, 2(24), doi: 10.1186/1745-6150-2-24 (pdf)

• Berezovskaya, F.S., Novozhilov, A.S., Karev, G.P.: Traveling fronts, impulses and trains in some taxis models. Neural, Parallel & Scientific Computations. 2007, 15: 561-570

• Berezovskaya, F.S., Novozhilov, A.S., Karev, G.P.: Population models with singular equilibrium. Mathematical Biosciences. 2007, 208(1):270-299 (pdf)

• Karev, G.P., Novozhilov, A.S., Koonin, E.V.: Mathematical modeling of tumor therapy with oncolytic viruses: Effects of parametric heterogeneity on cell dynamics. Biology Direct. 2006, 1(1):30 (pdf)

• Novozhilov, A.S., Berezovskaya, F.S., Koonin, E.V., Karev, G.P.: Mathematical modeling of tumor therapy with oncolytic viruses: Regimes with complete tumor elimination within the framework of deterministic models. Biology Direct. 2006, 1(1):6 (pdf)

• Novozhilov, A.S., Karev, G.P., Koonin, E.V.: Biological applications of the theory of birth-and-death processes. Briefings in Bioinformatics. 2006, 7(1):70-85 (pdf)

• Novozhilov, A.S., Karev, G.P., Koonin, E.V.: Mathematical modeling of evolution of horizontally transferred genes. Molecular Biology and Evolution. 2005, 22(8):1721-1732 (pdf)

• Bratus’, A.S., Novozhilov, A.S.: Stabilizing effect of nonlinear damping for a system with follower force. Functional Differential Equation. 2005, 12(1-2):109-118 (pdf)

• Novozhilov, A.S.: Analysis of a generalized population predator–prey model with a parameter distributed normally over the individuals in the predator population. Journal of Computer and Systems Sciences International. 2004, 43(3):378-382 (pdf)

• Novozhilov, A.S.: Parameter identification for one dynamical system that simulates the interaction of pollutants with the active environment. Journal of Computer and Systems Sciences International. 2002, 41(3):433-436. (pdf)

• Bratus’, A.S, Mescherin, A.N., Novozhilov, A.S.: Mathematical models of interaction between pollutant and environment. Vestnik MGU, Vychislitelnaya matematica i kybernetica. 2001, 1:23-28 (in Russian) (pdf)

PROCEEDINGS OF CONFERENCES

• Novozhilov, A.S.:  Exceptional error minimization in putative primordial genetic codes, Proceedings of the MCE-2011, Puschino, Russia, 24–29 January, 2011, 83

• Bratus’, A.S., Posvyanskii, V.P., Novozhilov, A.S.: Global regulation in a distributed replicator equation, Proceedings of the MCE-2011, Puschino, Russia, 24–29 January, 2011, 23

• Karev, G.P., Novozhilov, A.S., Berezovskaya F.S.: Modeling the dynamics of inhomogeneous natural rotifer populations under toxicant exposure. Proceedings of the 5th European Conference on Ecological Modeling (ECEM 2005), Pushchino, Russia, 19-23 September, 2005, 77-78

• Bratus’, A.S., Novozhilov, A.S.: Mathematical models of interaction between pollution and live environment (theory and test). Proceedings of the 10th International Conference "Nonlinear World" , Nizhniy Novgorod, 27.06-02.07, 2005, 160

• Novozhilov, A.S., Bratus’, A.S.: Nonlinear damping as a stabilizing factor and resolving Ziegler’s paradox. Proceeding of the 5th Symposium "Nonlinear Control and Oscillations"(NOLCOS’01), July, St. Petersburg, Russia, 2001, 2:973-978 (pdf)

• Bratus’, A.S., Mescherin, A.N., Novozhilov, A.S.: Mathematical Models of Interaction between Pollutant and Environment. Proceeding of the 2nd international conference "Control of Oscillations and Chaos" (COC 2000), July, St. Petersburg, Russia, 2000, 3:569-572 (pdf)

MANUALS, PREPRINTS AND THESIS

• Bratus’, A.S., Novozhilov, A.S., Rodina, E.V.: Discrete dynamical systems and their applications to ecology. Moscow: Moscow State University of Railway Engineering (MIIT). 2005, 139 p. (in Russian)

• Bratus’, A.S., Novozhilov, A.S.: Mathematical models of ecology and dynamical systems with continuous time. Moscow: CMC MSU. 2004. 241 p. (in Russian) (pdf)

• Bratus’, A.S., Novozhilov, A.S.: Mathematical models of ecology and dynamical systems with discrete time. Moscow: CMC MSU. 2003, 86 p. (in Russian) (pdf)

• Novozhilov, A.S.: Mathematical models of interaction between pollutant and environment. Thesis for Ph.D. degree in Physics and Mathematics. Moscow: Moscow State University of Railway Engineering (MIIT), 2002, 84 p. (in Russian)