Allee effect makes possible patchy invasion in a predator-prey system.

By Sergei V. Petrovskii, A. Morozov, Ezio Venturino. 2002

167 citations recorded by the source corpus.

Subfields: Genetics, Global and Planetary Change, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/666c8eb346da8bf4b554901cd19cec9e839ecfaa

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Citations in the corpus

Self-organised spatial patterns and chaos in a ratio-dependent predator–prey system (2011, background): “On the other hand, it is well known for a predator–prey system with prey-dependent response that the impact of the Allee effect can modify its properties considerably, usually making the dynamics richer (Petrovskii et al. 2002; Morozov et al. 2004).”
Population extinction in discrete-time stochastic population models with an Allee effect (2005, background): “The Allee effect has been extensively studied in deterministic models (see [6, 7, 10, 11, 14, 15, 18, 33, 34, 36, 39, 40] and references therein).”
Dynamics and pattern formation in a diffusive predator–prey system with strong Allee effect in prey (2011, unknown): “3) have been proposed in [35,39,40], and numerical simulation have shown that the system (1.”
Exactly Solvable Models of Biological Invasion (2005, background): “There is now considerable evidence coming both from empirical studies and from theoretical research that predation can affect the invasion rate and essentially modify the whole scenario of species spread (Dunbar, 1983, 1984; Sherratt et al., 1995, 1997; Fagan and Bishop, 2000; Owen and Lewis, 2001; ”
The Allee effect, stochastic dynamics and the eradication of alien species (2003, background): “Recent work indicates that the combined influence of Allee dynamics and stochastic processes strongly influences the successful establishment of alien species (Haccou & Iwasa 1996; Fagan et al. 2002; Petrovskii et al. 2002 ).”
Mathematical modeling of population dynamics with Allee effect (2016, methodology): “[73] investigated the predator–prey model with Holling type II function response and linear death term, which had the following form:”
Parameter estimation for basin-scale ecosystem-linked population models of large pelagic predators: Application to skipjack tuna (2008, background): “…different scales, such as occurrence of spatial patchiness due to chemotaxis (Keller and Segel, 1971; Berezovskaya and Karev , 1999), biological invasions (Petrovskii et al., 2002), schooling and shoaling (Grunbaum, 1994; Tyutyunov et al., 2004) based on attraction and repulsion between organisms.”
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)).”
Pathogens can Slow Down or Reverse Invasion Fronts of their Hosts (2005, unknown): “Hence, this phenomenon can be ascribed to the Allee effect, which is another evidence that Allee dynamics are a source of complex spatiotemporal dynamics (Lewis and Kareiva 1993; Owen and Lewis 2001; Petrovskii et al. 2002a, b, 2005).”