Winter, M., Jawad, S., Rahman, Z-ASA., Al-Yasir, YIA. and Zeb, A. (2023) 'Dynamical behavior of a cancer growth model with chemotherapy and boosting of the immune system'. Mathematics, 11 (2). pp. 1 - 16.Open Access Link

Gao, M., Winter, M. and Yang, W. (2022) 'Existence and stability of singular patterns in a fractional Ginzburg Landau equation with a mean field'. European Journal of Applied Mathematics, 0 (ahead of print). pp. 1 - 27. ISSN: 0956-7925 Open Access Link

Ao, W., Peng, Y. and Winter, M. (2022) 'Existence and Stability of a Spike in the Central Component for a Consumer Chain Model in a Two-Dimensional Domain'. Nonlinear Analysis Theory Methods and Applications, 221. pp. 1 - 24. ISSN: 0362-546X Open Access Link

Jawad, S., Sultan, D. and Winter, M. (2021) 'The Dynamics of a Modified Holling-Tanner Prey-Predator Model with Wind Effect'. International Journal of Nonlinear Analysis and Applications, 12 (Special Issue). pp. 2203 - 2210. ISSN: 2008-6822 Open Access Link

Schneider, G. and Winter, M. (2021) 'The amplitude system for a simultaneous short-wave Turing and long-wave Hopf instability'. Discrete and Continuous Dynamical Systems: Series S, 15 (9). pp. 2657 - 2672. ISSN: 1937-1632 Open Access Link

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

Ao, W., Wei, J. and Winter, M. (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

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

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

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

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

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

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

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

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

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]

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

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]

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

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

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

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]

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

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

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

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

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]

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

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

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

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

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

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]

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

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

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. ISSN: 1054-1500 Open Access Link

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

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]

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

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

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

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]

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

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

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

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

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

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

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

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