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How Spatial Heterogeneity Affects Transient Behavior in Reaction–Diffusion Systems for Ecological Interactions?
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- Bulletin of Mathematical Biology, 2019, v. 81, n. 10, p. 3889, doi. 10.1007/s11538-019-00659-0
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The attractor for a nonlinear reaction-diffusion system in an unbounded domain.
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- Communications on Pure & Applied Mathematics, 2001, v. 54, n. 6, p. 625, doi. 10.1002/cpa.1011
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On the well-posedness of mathematical models for multicomponent biofilms.
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- Mathematical Methods in the Applied Sciences, 2015, v. 38, n. 17, p. 3753, doi. 10.1002/mma.3315
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Infinite dimensional attractors for porous medium equations in heterogeneous medium.
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- Mathematical Methods in the Applied Sciences, 2012, v. 35, n. 16, p. 1987, doi. 10.1002/mma.2619
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On the well-posedness of a mathematical model of quorum-sensing in patchy biofilm communities.
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- Mathematical Methods in the Applied Sciences, 2011, v. 34, n. 13, p. 1667, doi. 10.1002/mma.1475
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Infinite-dimensional exponential attractors for fourth-order nonlinear parabolic equations in unbounded domains.
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- Mathematical Methods in the Applied Sciences, 2011, v. 34, n. 8, p. 939, doi. 10.1002/mma.1412
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Dimension estimate of the exponential attractor for the chemotaxis‐growth system.
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- Mathematical Methods in the Applied Sciences, 2007, v. 30, n. 5, p. 579
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ON THE NECESSARY CONDITIONS FOR PRESERVING THE NONNEGATIVE CONE: DOUBLE SCALE ANOMALOUS DIFFUSION.
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- Advances in Mathematical Sciences & Applications, 2022, v. 31, n. 1, p. 197
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LOCAL VS NONLOCAL MODELS FOR MITOCHONDRIA SWELLING.
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- Advances in Mathematical Sciences & Applications, 2021, v. 30, n. 2, p. 377
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Asymmetric cell division with stochastic growth rate. Dedicated to the memory of the late Spartak Agamirzayev.
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- Mathematical Methods in the Applied Sciences, 2018, v. 41, n. 17, p. 8059, doi. 10.1002/mma.5269
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Analysis of a PDE model of the swelling of mitochondria accounting for spatial movement.
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- Mathematical Methods in the Applied Sciences, 2018, v. 41, n. 5, p. 2162, doi. 10.1002/mma.4742
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A functional partial differential equation arising in a cell growth model with dispersion.
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- Mathematical Methods in the Applied Sciences, 2018, v. 41, n. 4, p. 1541, doi. 10.1002/mma.4684
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On the stability of a space vehicle riding on an intense laser beam.
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- Mathematical Methods in the Applied Sciences, 2017, v. 40, n. 4, p. 1346, doi. 10.1002/mma.4282
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- Article
LOWER ESTIMATE OF THE ATTRACTOR DIMENSION FOR A CHEMOTAXIS GROWTH SYSTEM.
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- Journal of the London Mathematical Society, 2007, v. 74, n. 2, p. 453
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Lower Estimate of the Attractor Dimension for a Chemotaxis Growth System.
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- Journal of the London Mathematical Society, 2006, v. 74, n. 2, p. 453, doi. 10.1112/S0024610706023015
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Allen–Cahn equation with strong irreversibility.
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- European Journal of Applied Mathematics, 2019, v. 30, n. 4, p. 707, doi. 10.1017/S0956792518000384
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Exponential attractors for a singularly perturbed Cahn-Hilliard system.
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- Mathematische Nachrichten, 2004, v. 272, n. 1, p. 11, doi. 10.1002/mana.200310186
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Infinite dimensional exponential attractors for a non-autonomous reaction-diffusion system.
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- Mathematische Nachrichten, 2003, v. 248-249, n. 1, p. 72, doi. 10.1002/mana.200310004
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Linear and nonlinear non-Fredholm operators and their applications.
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- Electronic Research Archive, 2022, v. 30, n. 2, p. 1, doi. 10.3934/era.2022027
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DIMENSION ESTIMATE OF THE EXPONENTIAL ATTRACTOR FOR THE CHEMOTAXIS?GROWTH SYSTEM*.
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- Glasgow Mathematical Journal, 2008, v. 50, n. 3, p. 483, doi. 10.1017/S0017089508004357
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