Preface. Bifurcations and Pattern Formation in Biological Applications

In the preface we present a short overview of articles included in the issue “Bifurcations and pattern formation in biological applications” of the journal Mathematical Modelling of Natural Phenomena.

[1]  N. Pizzolato,et al.  Noise Induced Phenomena in the Dynamics of Two Competing Species , 2015 .

[2]  Mark A. J. Chaplain,et al.  Dynamical patterns of coexisting strategies in a hybrid discrete-continuum spatial evolutionary game model , 2016, bioRxiv.

[3]  Mark A. J. Chaplain,et al.  Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity , 2006, Networks Heterog. Media.

[4]  A. Turing.  The chemical basis of morphogenesis , 1952, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.

[5]  S. Kondo,et al.  A reaction–diffusion wave on the skin of the marine angelfish Pomacanthus , 1995, Nature.

[6]  Kevin J. Painter,et al.  Spatio-temporal chaos in a chemotaxis model , 2011 .

[7]  A. Bayliss,et al.  Patterns for Competing Populations with Species Specific Nonlocal Coupling , 2015 .

[8]  D. Valenti,et al.  Modeling of Sensory Characteristics Based on the Growth of Food Spoilage Bacteria , 2016, 1609.07426.

[9]  Tim Rogers,et al.  Stochastic Pattern Formation and Spontaneous Polarisation: The Linear Noise Approximation and Beyond , 2012, Bulletin of mathematical biology.

[10]  H. Malchow,et al.  Fighting Enemies and Noise: Competition of Residents and Invaders in a Stochastically Fluctuating Environment , 2016 .

[11]  D. Fanelli,et al.  Stochastic Turing patterns in the Brusselator model. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  N. Pizzolato,et al.  Noise Induced Phenomena in Population Dynamics , 2015, 1511.07266.

[13]  P. Maini,et al.  Reaction and diffusion on growing domains: Scenarios for robust pattern formation , 1999, Bulletin of mathematical biology.

[14]  G F Oster,et al.  Generation of biological pattern and form. , 1984, IMA journal of mathematics applied in medicine and biology.

[15]  Jonathan Dushoff,et al.  Bifurcations and Chaotic Dynamics in a Tumour-Immune-Virus System , 2016 .

[16]  F. A. Davidson,et al.  The Effect of Cell Death on the Stability of a Growing Biofilm , 2016 .

[17]  H. Meinhardt,et al.  A theory of biological pattern formation , 1972, Kybernetik.

[18]  Malay Banerjee,et al.  Stabilizing Role of Nonlocal Interaction on Spatio-temporal Pattern Formation , 2016 .

[19]  C. Surulescu,et al.  On a stochastic reaction–diffusion system modeling pattern formation on seashells , 2010, Journal of mathematical biology.

[20]  A. Madzvamuse,et al.  Analysis and Simulations of Coupled Bulk-surface Reaction-Diffusion Systems on Exponentially Evolving Volumes , 2016 .

[21]  J. Sherratt.  Using Numerical Bifurcation Analysis to Study Pattern Formation in Mussel Beds , 2016 .

[22]  Ruth E Baker,et al.  Turing's model for biological pattern formation and the robustness problem , 2012, Interface Focus.

[23]  O. Aydogmus.  Patterns and Transitions to Instability in an Intraspecific Competition Model with Nonlocal Diffusion and Interaction , 2015 .