Ratio-dependent predator–prey model: effect of environmental fluctuation and stability

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Existence and non-existence of spatial patterns in a ratio-dependent predator–prey model (2015, unknown): “The temporal model for predator–prey interaction with ratiodependent functional response (Akcakaya et al., 1995; Arditi and Ginzburg, 1989; Bandyopadhyay and Chattopadhyay, 2005; Berezovskaya et al., 2001; Hsu et al., 2001; Sen et al., 2012; Xiao and Ruan, 2001) and density dependent death rate for ”
Self-organised spatial patterns and chaos in a ratio-dependent predator–prey system (2011, background): “Stability of the coexistence state A detailed discussion and exhaustive analysis of the stability properties of various steady states in the system 6 to 7 can be found in Jost et al. (1999), Berezovskaya et al. (2001), Xiao and Ruan (2001) and Bandyopadhyay and Chattopadhyay (2005).”
Stochastic persistence and stationary distribution in a Holling–Tanner type prey–predator model (2012, background): “Stochastic models having compact cloud of population distribution are called stochastically stable systems [2,28].”