30 results
Travelling waves with continuous profile for hyperbolic Keller-Segel equation
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- European Journal of Applied Mathematics , First View
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- 18 September 2024, pp. 1-29
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Stabilization in a chemotaxis system modelling T-cell dynamics with simultaneous production and consumption of signals
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- European Journal of Applied Mathematics , First View
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- 18 September 2024, pp. 1-14
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The roles of nonlinear diffusion, haptotaxis and ECM remodelling in determining the global solvability of a cancer invasion model
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- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics , First View
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- 13 September 2024, pp. 1-32
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Global boundedness and large time behaviour in a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant
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- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics , First View
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- 30 April 2024, pp. 1-26
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Derivation and travelling wave analysis of phenotype-structured haptotaxis models of cancer invasion
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- European Journal of Applied Mathematics , First View
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- 27 February 2024, pp. 1-33
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The fully parabolic multi-species chemotaxis system in $\mathbb{R}^{2}$
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- European Journal of Applied Mathematics , First View
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- 19 January 2024, pp. 1-32
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Global classical solution to the chemotaxis-Navier-Stokes system with some realistic boundary conditions
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- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 154 / Issue 2 / April 2024
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- 02 March 2023, pp. 445-482
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- April 2024
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On the global existence of solutions to chemotaxis system for two populations in dimension two
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- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 153 / Issue 6 / December 2023
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- 09 January 2023, pp. 2106-2128
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- December 2023
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Finite-time blow-up in a repulsive chemotaxis-consumption system
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- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 153 / Issue 4 / August 2023
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- 06 June 2022, pp. 1150-1166
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- August 2023
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Asymptotic behaviour in a doubly haptotactic cross-diffusion model for oncolytic virotherapy
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- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 153 / Issue 3 / June 2023
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- 19 April 2022, pp. 881-906
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- June 2023
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The stability analysis of a 2D Keller–Segel–Navier–Stokes system in fast signal diffusion
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- European Journal of Applied Mathematics / Volume 34 / Issue 1 / February 2023
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- 31 March 2022, pp. 160-209
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Stationary solutions to the Keller–Segel equation on curved planes
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- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 153 / Issue 1 / February 2023
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- 31 January 2022, pp. 327-343
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- February 2023
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Macroscopic limit of a kinetic model describing the switch in T cell migration modes via binary interactions
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- European Journal of Applied Mathematics / Volume 34 / Issue 1 / February 2023
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- 23 December 2021, pp. 1-27
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Global well-posedness and nonlinear stability of a chemotaxis system modelling multiple sclerosis
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- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 152 / Issue 4 / August 2022
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- 28 July 2021, pp. 826-856
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- August 2022
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Direction-dependent turning leads to anisotropic diffusion and persistence
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- European Journal of Applied Mathematics / Volume 33 / Issue 4 / August 2022
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- 23 June 2021, pp. 729-765
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Gaussian process approximations for multicolor Pólya urn models
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- Journal of Applied Probability / Volume 58 / Issue 1 / March 2021
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- 25 February 2021, pp. 274-286
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- March 2021
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On a repulsion Keller–Segel system with a logarithmic sensitivity
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- European Journal of Applied Mathematics / Volume 33 / Issue 1 / February 2022
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- 14 January 2021, pp. 153-181
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Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy
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- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 152 / Issue 1 / February 2022
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- 08 January 2021, pp. 81-101
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- February 2022
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The convergence rate of the fast signal diffusion limit for a Keller–Segel–Stokes system with large initial data
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- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 151 / Issue 6 / December 2021
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- 23 December 2020, pp. 1972-2012
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- December 2021
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Immediate smoothing and global solutions for initial data in L1 × W1,2 in a Keller–Segel system with logistic terms in 2D
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- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 151 / Issue 4 / August 2021
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- 02 September 2020, pp. 1204-1224
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- August 2021
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