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Ao, W., Wei, J. and Winter, M. (2019) 'Stable spike clusters on a compact two-dimensional Riemannian manifold'. Journal of Differential Equations, 268 (7). pp. 3665 - 3704. ISSN: 0022-0396 Open Access Link

Journal article

Winter, M., Wei, J. and Ao, W. (2018) 'Stable boundary spike clusters for the two-dimensional Gierer-Meinhardt system'. Journal de Mathématiques Pures et Appliquées, 121. pp. 1 - 46. ISSN: 0021-7824 Open Access Link

Journal article

Winter, M., Wei, J. and Yang, W. (2017) 'Stable spike clusters for the precursor Gierer-Meinhardt system in R2'. Calculus of Variations and Partial Differential Equations, 56 (6). pp. 142. ISSN: 0944-2669 Open Access Link

Journal article

Wei, J. and Winter, M. (2016) 'Stable spike clusters for the one-dimensional Gierer-Meinhardt system'. European Journal of Applied Mathematics, 28 (4). pp. 576 - 635. ISSN: 0956-7925 Open Access Link

Journal article

Winter, M., Xu, L., Zhai, J. and Zhang, T. (2015) 'The dynamics of the stochastic shadow Gierer-Meinhardt system'. Journal of Differential Equations, 260 (5). pp. 84 - 114. ISSN: 1090-2732 Open Access Link

Journal article

Winter, M. and Wei, J. (2015) 'Existence and stability of a spike in the central component for a consumer chain model'. Journal of Dynamics and Differential Equations, 27 (3-4). pp. 1141 - 1171. ISSN: 1572-9222 Open Access Link

Journal article

Berestycki, H., Wei, J. and Winter, M. (2014) 'Existence of symmetric and asymmetric spikes for a crime hotspot model'. SIAM Journal on Mathematical Analysis, 46 (1). pp. 691 - 719. ISSN: 0036-1410 Open Access Link

Journal article

Wei, J. and Winter, M. (2014) 'Stability of cluster solutions in a cooperative consumer chain model'. Journal of Mathematical Biology, 68 (1-2). pp. 1 - 39. ISSN: 0303-6812 Open Access Link

Journal article

Winter, M. and Wei, J. (2013) 'Mathematical aspects of pattern formation in biological systems'. Springer London, London. ISSN 10: 1447155262 ISSN 13: 9781447155263

Book

Wei, J. and Winter, M. (2012) 'Flow-distributed spikes for Schnakenberg kinetics'. Journal of Mathematical Biology, 64 (1-2). pp. 211 - 254. ISSN: 0303-6812 Open Access Link

Journal article

Winter, M. and Wei, J. (2011) 'Spiky patterns in a tritrophic food chain model'.International Workshop on Modeling and Analysis of PDE Systems of Biological Processes. Capital Normal University, Beijing. 18 - 21 October. [unpublished]

Conference paper

Hussaini, N., Winter, M. and Gumel, AB. (2011) 'Qualitative assessment of the role of public health education program on HIV transmission dynamics'. Mathematical Medicine and Biology, 28 (3). pp. 245 - 270. ISSN: 1477-8599

Journal article

Winter, M. and Wei, J. (2011) 'Cluster solutions in a tritrophic food chain model'.The Croucher Foundation, Advanced Study Institute. Chinese University of Hong Kong. 28 - 5 March. [unpublished]

Conference paper

Wei, J. and Winter, M. (2010) 'Stability of spiky solutions in a reaction-diffusion system with four morphogens on the real line'. SIAM Journal on Mathematical Analysis, 42 (6). pp. 2818 - 2841. ISSN: 0036-1410 Open Access Link

Journal article

Hussaini, N. and Winter, M. (2010) 'Travelling waves for an epidemic model with non-smooth treatment rates'. Journal of Statistical Mechanics: Theory and Experiment, 2010 (11). pp. P11019 - P11019. ISSN: 1742-5468 Open Access Link

Journal article

Tse, WH., Wei, J. and Winter, M. (2010) 'The Gierer–Meinhardt system on a compact two-dimensional Riemannian manifold: Interaction of Gaussian curvature and Green's function'. Journal de Mathématiques Pures et Appliqués, 94 (4). pp. 366 - 397. ISSN: 0021-7824 Open Access Link

Journal article

Winter, M. and Wei, J. (2009) 'Spikes for the Gierer-Meinhardt system with variable coefficients'.26th Kyushu Symposium on Partial Differential Equations. Kyushu University, Fukuoka, Japan. 26 - 28 January. [unpublished]

Conference paper

Kolokolnikov, T., Wei, JC. and Winter, M. (2009) 'Existence and stability analysis of spiky solutions for the Gierer-Meinhardt system with large reaction rates'. Physica D: Nonlinear Phenomena, 238 (16). pp. 1695 - 1710. ISSN: 0167-2789 Open Access Link

Journal article

Wei, J. and Winter, M. (2009) 'Strongly interacting bumps for the Schrödinger-Newton equations'. Journal of Mathematical Physics, 50 (1). pp. 012905 - 012905. ISSN: 0022-2488 Open Access Link

Journal article

Wei, JC. and Winter, M. (2009) 'On the Gierer-Meinhardt system with precursors'. Discrete and Continuous Dynamical Systems (DCDS-A), 25 (1). pp. 363 - 398. ISSN: 1078-0947 Open Access Link

Journal article

Wei, JC. and Winter, M. (2009) 'Spikes for the Gierer-Meinhardt system with discontinuous diffusion coefficients'. Journal of Nonlinear Science, 19 (3). pp. 301 - 339. ISSN: 0938-8974 Open Access Link

Journal article

Winter, M. and Wei, J. (2008) 'Gierer-Meinhardt system with variable coefficients'.Seventh International Conference on Dynamical Systems, Differential Equations and Applications, American Institute of Mathematical Sciences (AIMS). University of Texas at Arlington, USA. 18 - 21 May. [unpublished]

Conference paper

Winter, M., Wei, J. and Tse, W. (2008) 'Spikes for the Gierer-Meinhardt system with many segments of different diffusivities'. Bulletin of the Institute of Mathematics Academia Sinica (New Series), 3 (4). pp. 525 - 566. ISSN: 0013-1377 Open Access Link

Journal article

Wei, J. and Winter, M. (2008) 'Stationary multiple spots for reaction-diffusion systems'. Journal of Mathematical Biology, 57 (1). pp. 53 - 89. ISSN: 0303-6812 Open Access Link

Journal article

Wei, J. and Winter, M. (2008) 'Mutually exclusive spiky pattern and segmentation modeled by the five-component Meinhardt-Gierer system'. SIAM Journal of Applied Mathematics, 69 (2). pp. 419 - 452. ISSN: 0036-1399 Open Access Link

Journal article

Wei, J. and Winter, M. (2007) 'Existence, classification and stability analysis of multiple-peaked solutions for the Gierer-Meinhardt system in R¹'. Methods and Applications of Analysis, 14 (2). pp. 119 - 164. ISSN: 1073-2772 Open Access Link

Journal article

Winter, M. and Wei, J. (2007) 'Spikes for biological systems: the role of boundary conditions'.CMS-MITACS Joint Conference.  [unpublished]

Conference paper

Winter, M. and Wei, J. (2007) 'The role of boundary conditions for the existence and stability of spikes for the Gierer-Meinhardt system'.IMS Workshop on PDEs.  [unpublished]

Conference paper

Wei, J. and Winter, M. (2007) 'Symmetric and asymmetric multiple clusters in a reaction-diffusion system'. NoDEA : Nonlinear Differential Equations and Applications, 14 (5-6). pp. 787 - 823. ISSN: 1021-9722 Open Access Link

Journal article

Norbury, J., Wei, J. and Winter, M. (2007) 'Stability of patterns with arbitrary period for a Ginzburg-Landau equation with a mean field'. European Journal of Applied Mathematics, 18 (2). pp. 129 - 151. ISSN: 0956-7925 Open Access Link

Journal article

Maini, PK., Wei, J. and Winter, M. (2007) 'Stability of spikes in the shadow Gierer-Meinhardt system with Robin boundary conditions'. Chaos: An Interdisciplinary Journal of Nonlinear Science, 17 (3). pp. 037106 - 037106. ISSN: 1054-1500 Open Access Link

Journal article

Wei, J. and Winter, M. (2006) 'Standing waves in the FitzHugh-Nagumo system and a problem in combinatorial geometry'. Mathematische Zeitschrift, 254 (2). pp. 359 - 383. ISSN: 0025-5874 Open Access Link

Journal article

Winter, M. and Wei, J. (2006) 'Mutually exclusive spikes for a five-component system of Meinhardt and Gierer'.6th International AIMS Conference on Dynamical Systems, Differential Equations and Applications.  [unpublished]

Conference paper

Winter, M. and Wei, J. (2006) 'Mutually exclusive spikes for a five-component system of Meinhardt and Gierer'.MAFELAP Conference.  [unpublished]

Conference paper

Wei, J., Winter, M. and Yeung, WK. (2005) 'A higher-order energy expansion to two-dimensional singularity perturbed Neumann problems'. Asymptotic Analysis, 43 (1-2). pp. 75 - 110. ISSN: 0921-7134 Open Access Link

Journal article

Wei, J. and Winter, M. (2005) 'Clustered spots in the FitzHugh-Nagumo system'. Journal of Differential Equations, 213 (1). pp. 121 - 145. ISSN: 0022-0396 Open Access Link

Journal article

Winter, M. and Wei, J. (2005) 'Spikes for the Gierer-Meinhardt system - analysis and numerical simulation'.Oberwolfach Workshop on Topological and Variational Methods for Differential Equations.  [unpublished]

Conference paper

Winter, M. and Wei, J. (2005) 'Standing waves in the FitzHugh-Nagumo system and a problem in combinatorial geometry'.Topological and Variational Methods in PDE, CIMAT. Springer Science and Business Media LLC. pp. 359 - 383. ISSN: 0025-5874

Conference paper

Wei, J. and Winter, M. (2005) 'Symmetry of nodal solutions for singularly perturbed elliptic problems on a ball'. Indiana University Mathematics Journal, 54 (3). pp. 707 - 742. ISSN: 0022-2518 Open Access Link

Journal article

Wei, J. and Winter, M. (2005) 'On a cubic-quintic Ginzburg-Landau equation with global coupling'. Proceedings of the American Mathematical Society, 133. pp. 1787 - 1796. ISSN: 0002-9939 Open Access Link

Journal article

Winter, M. and Wei, J. (2005) 'Spikes for the Gierer-Meinhardt system - analysis and numerical simulation'.Joint DMV-AMS-OMG Conference.  [unpublished]

Conference paper

Winter, M., Wei, J. and Iron, D. (2004) 'Stability analysis of Turing patterns generated by the Schnakenberg model'. Journal of Mathematical Biology, 49 (4). pp. 358 - 390. ISSN: 0303-6812 Open Access Link

Journal article

Wei, J. and Winter, M. (2004) 'Existence and stability analysis of asymmetric patterns for the Gierer-Meinhardt system'. Journal de Mathématiques Pures et Appliquées, 83 (4). pp. 433 - 476. ISSN: 0021-7824 Open Access Link

Journal article

Wei, J. and Winter, M. (2004) 'Higher-order energy expansions and spike locations'. Calculus of Variations and Partial Differential Equations, 20 (4). pp. 403 - 430. ISSN: 0944-2669 Open Access Link

Journal article

Wei, J. and Winter, M. (2004) 'On the Gierer-Meinhardt system with saturation'. Communications in Contemporary Mathematics, 6 (2). pp. 259 - 277. ISSN: 0219-1997 Open Access Link

Journal article

Wei, J. and Winter, M. (2003) 'Existence and stability of multiple spot solutions for the Gray-Scott model in R²'.International Conference on Differential Equations (EQUADIFF 2003). Hasselt, Belgium. 22 - 26 July. WORLD SCIENTIFIC. pp. 813 - 818.Open Access Link

Conference paper

Wei, J. and Winter, M. (2003) 'Existence and stability of multiple-spot solutions for the Gray–Scott model in R²'. Physica D: Nonlinear Phenomena, 176 (3-4). pp. 147 - 180. ISSN: 0167-2789 Open Access Link

Journal article

Wei, J. and Winter, M. (2003) 'Higher order energy expansions for some singularly perturbed Neumann problems'. Comptes Rendus Mathematique, 337 (1). pp. 37 - 42. ISSN: 0764-4442 Open Access Link

Journal article

Winter, M. and Wei, J. (2003) 'Concentrated solutions for the one- and two-dimensional Gierer-Meinhardt system'.International Congress on Industrial and Applied Mathematics (ICIAM). Sydney, Australia. [unpublished]

Conference paper

Wei, J. and Winter, M. (2003) 'A nonlocal eigenvalue problem and the stability of spikes for reaction-diffusion systems with fractional reaction rates'. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 13 (6). pp. 1529 - 1543. ISSN: 0218-1274 Open Access Link

Journal article