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Existence of stationary solutions for some non-Fredholm integro-differential equations with superdiffusion

Vitali Vougalter , Vitaly Volpert
Journal of Pseudo-Differential Operators and Applications, 2016, ⟨10.1007/s11868-016-0173-9⟩
Journal articles hal-01397555v1

Systèmes de Réaction-Diffusion sans Propriété de Fredholm

Arnaud Ducrot , Martine Marion , Vitaly Volpert
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2005, pp.659-664
Journal articles hal-00402393v1

Solvability Conditions for a Linearized Cahn-Hilliard Equation of Sixth Order.

Vitaly Volpert , Vitali Vougalter
Mathematical Modelling of Natural Phenomena, 2012, 7 (2), pp.146--154. ⟨10.1051/mmnp/20127212⟩
Journal articles hal-00753092v1
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Numerical Simulations of Heat ExplosionWith Convection In Porous Media

Karam Allali , Fouad Bikany , Ahmed Taik , Vitaly Volpert
Preprints, Working Papers, ... hal-00859414v1

Pattern Formation in Hybrid Models of Cell Population

Vitaly Volpert , N. Bessonov , Polina Kurbatova
Pattern Formation in Morphogenesis, Springer-Verlag, pp.107-119, 2013, Springer Proceedings in Mathematics, 978-3-642-20164-6. ⟨10.1007/978-3-642-20164-6_10⟩
Book sections istex hal-00846783v1

Existence of Reaction-Diffusion Waves with Nonlinear Boundary Conditions

Vitaly Volpert , Narcisa Apreutesei , Alen Tosenberger
Mathematical Modelling of Natural Phenomena, 2013, 8 (4), pp.2-17. ⟨10.1051/mmnp/20138302⟩
Journal articles hal-00846820v1
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An Epidemic Model with Time Delay Determined by the Disease Duration

Samiran Ghosh , Vitaly Volpert , Malay Banerjee
Mathematics , 2022, 10, ⟨10.3390/math10152561⟩
Journal articles hal-03840322v1
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Existence of solutions for a nonlocal reaction-diffusion equation in biomedical applications

Cristina Leon , Irina Kutsenko , Vitaly Volpert
Israel Journal of Mathematics, 2022, 248, pp.67 - 93. ⟨10.1007/s11856-022-2294-6⟩
Journal articles hal-03840319v1
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Piecewise estimation of R0 by a simple SEIR model. Application to COVID-19 in French regions and departments until June 30, 2020

Stéphane Derrode , Romain Gauchon , Nicolas Ponthus , Christophe Rigotti , Catherine Pothier et al.
[Research Report] LIRIS UMR CNRS 5205; Ecole centrale de lyon; INSA LYON; Université Lyon 1 - Claude Bernard. 2020
Reports hal-02910202v2

Mathematical modelling of erythropoiesis in vivo with multiple erythroblastic islands.

Nikolai Bessonov , Nathalie Eymard , Polina Kurbatova , Vitaly Volpert
Applied Mathematics Letters, 2012, 25 (9), pp.1217-1221. ⟨10.1016/j.aml.2012.02.053⟩
Journal articles hal-00753093v1
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Dynamical system model of decision making and propagation

Jacques Demongeot , Vitaly Volpert
Journal of Biological Systems, 2015, ⟨10.1142/S0218339015500187⟩
Journal articles hal-01237695v1
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Existence of Waves for a Nonlocal Reaction-Diffusion Equation

Ivan Demin , Vitaly Volpert
Mathematical Modelling of Natural Phenomena, 2010, 5 (5), pp.80-101. ⟨10.1051/mmnp/20105506⟩
Journal articles hal-00547724v1
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On the existence of stationary solutions for some non-Fredholm integro-differential equations

Vitali Vougalter , Vitaly Volpert
Documenta Mathematica, 2011, 16, pp.561-580
Journal articles hal-00653648v1
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Solvability conditions for some non-Fredholm operators

Vitali Vougalter , Vitaly Volpert
Proceedings of the Edinburgh Mathematical Society, 2011, 54 (1), pp.249-271. ⟨10.1017/S0013091509000236⟩
Journal articles hal-00653658v1
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Reaction-diffusion waves with nonlinear boundary conditions

Narcisa Apreutesei , Vitaly Volpert
Networks and Heterogeneous Media, 2013, 8 (1), pp.23-35. ⟨10.3934/nhm.2013.8.23⟩
Journal articles hal-00846563v1

Modele multi-echelle de la dynamique cellulaire

Vitaly Volpert , Nikolai Bessonov , Alen Tosenberger , Nathalie Eymard
Le vivant discret et continu, Editions Materiologiques, in press, 2013
Book sections hal-00846865v1
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Nonlocal Reaction–Diffusion Models of Heterogeneous Wealth Distribution

Malay Banerjee , Sergei V Petrovskii , Vitaly Volpert
Mathematics , 2021, 9 (4), pp.1-18. ⟨10.3390/math9040351⟩
Journal articles hal-03404817v1
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Viral Infection Spreading and Mutation in Cell Culture

Latifa Ait Mahiout , Bogdan Kazmierczak , Vitaly Volpert
Mathematics , 2022, 10, ⟨10.3390/math10020256⟩
Journal articles hal-03840321v1
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An Epidemic Model with Time-Distributed Recovery and Death Rates

Samiran Ghosh , Vitaly Volpert , Malay Banerjee
Bulletin of Mathematical Biology, 2022, 84, ⟨10.1007/s11538-022-01028-0⟩
Journal articles hal-03840307v1

Asymptotic-numerical analysis of the diffusion- discrete absorption equation

Polina Kurbatova , Grigory Panasenko , Vitaly Volpert
Mathematical Methods in the Applied Sciences, 2012, 35 (4), pp.438-444. ⟨10.1002/mma.1572⟩
Journal articles istex hal-00869285v1
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Blood Clotting Decreases Pulmonary Circulation during the Coronavirus Disease

Anastasia Mozokhina , Anass Bouchnita , Vitaly Volpert
Mathematics , 2021, 9 (19), pp.1-18. ⟨10.3390/math9192401⟩
Journal articles hal-03404818v1

Reaction-Diffusion Model of Atherosclerosis Development.

N. El Khatib , Stéphane Génieys , Bogdan Kazmierczak , Vitaly Volpert
Journal of Mathematical Biology, 2012, 65 (2), pp.349-374. ⟨10.1007/s00285-011-0461-1⟩
Journal articles hal-00753096v1

Emergence and Propagation of Patterns in Nonlocal Reaction-Diffusion Equations Arising in the Theory of Speciation.

Vitaly Volpert , Vitali Vougalter
Dispersal, Individual Movement and Spatial Ecology, Springer-Verlag, pp.331-353, 2013, Lecture Notes in Mathematics, 978-3-642-35497-7. ⟨10.1007/978-3-642-35497-7_12⟩
Book sections istex hal-00846559v1

Modelling of Plant Growth with Apical or Basal Meristem

Nikolai Bessonov , Fabien Crauste , Vitaly Volpert
Mathematical Modelling of Natural Phenomena, 2011, 6 (2), pp.107-132. ⟨10.1051/mmnp/20116204⟩
Journal articles hal-00649218v1

Speed of wave propagation for a nonlocal reaction–diffusion equation

A. Moussaoui , Vitaly A Volpert
Applicable Analysis, 2019, pp.1-15. ⟨10.1080/00036811.2018.1559303⟩
Journal articles hal-02363409v1
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Characterization of spatiotemporal dynamics in EEG data during picture naming with optical flow patterns

Vitaly A Volpert , Binbin Xu , Andon Tchechmedjiev , Sébastien Harispe , A. Aksenov et al.
Mathematical Biosciences and Engineering, 2023, 20 (6), pp.11429-11463. ⟨10.3934/mbe.2023507⟩
Journal articles hal-03875641v1

Reaction-diffusion-convection problems in unbounded cylinders

Rozenn Texier-Picard , Vitaly A Volpert
Revista Matematica Complutense, 2003, 16 (1), pp.233-276
Journal articles hal-04028578v1
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Mathematical study of feedback control roles and relevance in stress erythropoiesis

Fabien Crauste , Ivan Demin , Olivier Gandrillon , Vitaly Volpert
Journal of Theoretical Biology, 2010, 263 (3), pp.303. ⟨10.1016/j.jtbi.2009.12.026⟩
Journal articles hal-00567288v1

Existence of pulses for a reaction-diffusion system of blood coagulation in flow

Nicolas Ratto , Martine Marion , Vitaly Volpert
Mathematical Biosciences and Engineering, 2019, 16 (5), pp.4196-4212. ⟨10.3934/mbe.2019209⟩
Journal articles hal-02084120v1
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On the existence of stationary solutions for some nonlinear heat equations

Vitaly Volpert , Vitali Vougalter
Annales Academiae Scientiarum Fennicae. Mathematica, 2015, ⟨10.5186/aasfm.2015.4013⟩
Journal articles hal-01238488v1