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Peter van Heijster
Peter van Heijster
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Title
Cited by
Cited by
Year
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
812009
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
632010
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
582008
Planar radial spots in a three-component FitzHugh–Nagumo system
P Van Heijster, B Sandstede
Journal of Nonlinear Science 21, 705-745, 2011
542011
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
452014
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
412016
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
352021
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
332019
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
322014
Pinned fronts in heterogeneous media of jump type
P Van Heijster, A Doelman, TJ Kaper, Y Nishiura, KI Ueda
Nonlinearity 24 (1), 127, 2010
302010
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
242019
Absolute instabilities of travelling wave solutions in a Keller–Segel model
PN Davis, P van Heijster, R Marangell
Nonlinearity 30 (11), 4029, 2017
242017
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
232020
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
232018
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
212015
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
212014
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
172016
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
172015
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
162021
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
142021
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