Spatiotemporal patterns in ecology and epidemiology : theory, models, and simulation

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Self-organised spatial patterns and chaos in a ratio-dependent predator–prey system (2011, background): “Whilst some authors showed that the Hopf bifurcation is sufficient to ensure the onset of chaos (e.g. Petrovskii et al. 2003; Malchow et al. 2008), others argued that chaos should be associated with a more complicated Turing–Hopf bifurcation (cf. Baurmann et al. 2007).”
Spatial, temporal and spatiotemporal patterns of diffusive predator-prey models with mutual interference (2015, methodology): “For reviews and related work on Turing instability and Turing pattern formation of reaction–diffusion systems from applied sciences, we refer the reader to Levin & Segel (1985), Malchow et al. (2008) and references cited therein.”
Spatiotemporal complexity of biological invasion in a space- and time-discrete predator–prey system with the strong Allee effect (2012, background): “…systems such as, for instance, propagation of a traveling front with formation of chaotic pattern in the wake (cf. Sherratt et al., 1997) and species spread by means of ‘traveling bands,’ i.e. by formation of expanding ring-like structures (Petrovskii et al., 2002b; also see Malchow et al. (2008)).”