Pulse dynamics in a three-component system: existence analysis A Doelman, P Van Heijster, TJ Kaper Journal of Dynamics and Differential Equations 21, 73-115, 2009 | 83 | 2009 |
Front interactions in a three-component system P van Heijster, A Doelman, TJ Kaper, K Promislow SIAM Journal on Applied Dynamical Systems 9 (2), 292-332, 2010 | 65 | 2010 |
Pulse dynamics in a three-component system: stability and bifurcations P van Heijster, A Doelman, TJ Kaper Physica D: Nonlinear Phenomena 237 (24), 3335-3368, 2008 | 60 | 2008 |
Planar radial spots in a three-component FitzHugh–Nagumo system P Van Heijster, B Sandstede Journal of Nonlinear Science 21, 705-745, 2011 | 56 | 2011 |
Existence of traveling wave solutions for a model of tumor invasion K Harley, P van Heijster, R Marangell, GJ Pettet, M Wechselberger SIAM Journal on Applied Dynamical Systems 13 (1), 366-396, 2014 | 47 | 2014 |
Influences of Allee effects in the spreading of malignant tumours L Sewalt, K Harley, P van Heijster, S Balasuriya Journal of theoretical biology 394, 77-92, 2016 | 41 | 2016 |
Bifurcation analysis of a predator-prey model with predator intraspecific interactions and ratio-dependent functional response C Arancibia-Ibarra, P Aguirre, J Flores, P van Heijster Applied Mathematics and Computation 402, 126152, 2021 | 39 | 2021 |
A Holling–Tanner predator–prey model with strong Allee effect C Arancibia-Ibarra, JD Flores, G Pettet, P Van Heijster International Journal of Bifurcation and Chaos 29 (11), 1930032, 2019 | 34 | 2019 |
Bifurcations to travelling planar spots in a three-component FitzHugh–Nagumo system P Van Heijster, B Sandstede Physica D: Nonlinear Phenomena 275, 19-34, 2014 | 32 | 2014 |
Pinned fronts in heterogeneous media of jump type P Van Heijster, A Doelman, TJ Kaper, Y Nishiura, KI Ueda Nonlinearity 24 (1), 127, 2010 | 32 | 2010 |
Pinned solutions in a heterogeneous three-component FitzHugh–Nagumo model P van Heijster, CN Chen, Y Nishiura, T Teramoto Journal of Dynamics and Differential Equations 31, 153-203, 2019 | 26 | 2019 |
Travelling wave solutions in a negative nonlinear diffusion–reaction model Y Li, P Heijster, R Marangell, MJ Simpson Journal of Mathematical Biology 81 (6), 1495-1522, 2020 | 24 | 2020 |
Localized patterns in a three-component FitzHugh–Nagumo model revisited via an action functional P van Heijster, CN Chen, Y Nishiura, T Teramoto Journal of Dynamics and Differential Equations 30, 521-555, 2018 | 24 | 2018 |
Absolute instabilities of travelling wave solutions in a Keller–Segel model PN Davis, P van Heijster, R Marangell Nonlinearity 30 (11), 4029, 2017 | 24 | 2017 |
Numerical computation of an Evans function for travelling waves K Harley, P van Heijster, R Marangell, GJ Pettet, M Wechselberger Mathematical biosciences 266, 36-51, 2015 | 21 | 2015 |
Novel solutions for a model of wound healing angiogenesis K Harley, P van Heijster, R Marangell, GJ Pettet, M Wechselberger Nonlinearity 27 (12), 2975, 2014 | 21 | 2014 |
Butterfly catastrophe for fronts in a three-component reaction–diffusion system M Chirilus-Bruckner, A Doelman, P van Heijster, JDM Rademacher Journal of Nonlinear Science 25, 87-129, 2015 | 19 | 2015 |
Turing patterns in a diffusive Holling–Tanner predator-prey model with an alternative food source for the predator C Arancibia-Ibarra, M Bode, J Flores, G Pettet, P Van Heijster Communications in Nonlinear Science and Numerical Simulation 99, 105802, 2021 | 18 | 2021 |
A geometric approach to stationary defect solutions in one space dimension A Doelman, P van Heijster, F Xie SIAM Journal on Applied Dynamical Systems 15 (2), 655-712, 2016 | 18 | 2016 |
Shock-fronted travelling waves in a reaction–diffusion model with nonlinear forward–backward–forward diffusion Y Li, P van Heijster, MJ Simpson, M Wechselberger Physica D: Nonlinear Phenomena 423, 132916, 2021 | 15 | 2021 |