V. A. Volpert

Northwestern University — United States

Engineering · Physical Sciences

20h-index1.5kcitations132works1.02yr avg
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Research Topics

Combustion and flame dynamics(25), Nonlinear Dynamics and Pattern Formation(24), Photopolymerization techniques and applications(21), Mathematical and Theoretical Epidemiology and Ecology Models(18), Combustion and Detonation Processes(16)

Publications128 total

Invasions in a four-species fractured cyclic ecological system
Mathematical Biosciences·2025
On a new mechanism of the emergence of spatial distributions in biological models
Applied Mathematics Letters·2024· 2 citedOpen Access
Fractured alliances in a four-species cyclic ecological system
Physica D Nonlinear Phenomena·2024· 1 cited
Competing alliances in a four-species cyclic ecosystem
Applied Mathematics and Computation·2023· 1 cited
Functional properties of morphological networks. Comment on “Networks behind the morphology and structural design of living systems” by Marko Gosak et al.
Physics of Life Reviews·2022· 1 cited
Asymptotic analysis of the bistable Lotka-Volterra competition-diffusion system
Applied Mathematics and Computation·2022· 2 cited
Beyond rock–paper–scissors systems — Deterministic models of cyclic ecological systems with more than three species
Physica D Nonlinear Phenomena·2020· 18 cited
(INVITED) Reaction–diffusion waves in cardiovascular diseases
Physica D Nonlinear Phenomena·2019· 21 citedOpen Access
Mathematical modeling of cyclic population dynamics
Physica D Nonlinear Phenomena·2019· 10 cited
Fronts in subdiffusive FitzHugh–Nagumo systems
Mathematical Modelling of Natural Phenomena·2019· 2 cited
Existence of waves for a reaction–diffusion–dispersion system
Nonlinear Analysis·2018· 1 cited
Modeling of post-stroke stimulation of cortical tissue
Mathematical Biosciences·2018· 7 cited
Estimate of the travelling wave speed for an integro-differential equation
Applied Mathematics Letters·2018· 7 citedOpen Access
Drug Diffusion in a Swollen Polymer
SIAM Journal on Applied Mathematics·2018· 3 cited
Initiation of reaction–diffusion waves of blood coagulation
Physica D Nonlinear Phenomena·2017· 12 citedOpen Access
Traveling waves in a nonlocal, piecewise linear reaction–diffusion population model
Nonlinearity·2017· 2 cited
Similarity solution of a Stefan drug-release subdiffusion problem
Physica Scripta·2016
Hybrid Modelling in Biology: a Classification Review
Mathematical Modelling of Natural Phenomena·2015· 51 citedOpen Access
How morphology of artificial organisms influences their evolution
Ecological Complexity·2015· 2 citedOpen Access
On pulse solutions of a reaction–diffusion system in population dynamics
Nonlinear Analysis·2015· 9 citedOpen Access
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Frequent Co-authors

B. J. Matkowsky(11), A. Bayliss(6), K. G. Shkadinsky(5), Vit. A. Volpert(5), P. M. Goldfeder(4), John A. Pojman(4), Aizik Volpert(4), G. V. Shkadinskaya(4), S. P. Davtyan(4), I. N. Megrabova(4), Alexander Nepomnyashchy(3), C.A. Spade(3), L. K. Gross(3), A. P. Aldushin(3), Stanislav E. Solovyov(2), Jean–François Collet(2), Donna M. G. Comissiong(2), Justin C. Tzou(2), Matthew C. Tanzy(2), A. S. Babadzhanyan(2)