Linear and Weakly Nonlinear Stability Analyses of Turing Patterns for Diffusive Predator–Prey Systems in Freshwater Marsh Landscapes
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DOI: 10.1007/s11538-017-0245-x
Abstract: We study a diffusive predator–prey model describing the interactions of small fishes and their resource base (small invertebrates) in the fluctuating freshwater marsh landscapes of the Florida Everglades. The spatial model is described by a… read more here.
Keywords: diffusive predator; predator prey; weakly nonlinear; marsh landscapes ... See more keywords
Turing–Hopf bifurcation and spatiotemporal patterns in a diffusive predator–prey system with Crowley–Martin functional response
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DOI: 10.1016/j.nonrwa.2018.03.010
Abstract: Abstract A diffusive predator–prey system with Crowley–Martin functional response is considered. Firstly, the maximal parameter region, where the coexistence equilibrium is stable, is provided, of which the boundary consists of Turing bifurcation curves and Hopf… read more here.
Keywords: turing hopf; diffusive predator; predator prey; system ... See more keywords
Nonexistence of nonconstant positive steady states of a diffusive predator-prey model
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DOI: 10.3934/cpaa.2018026
Abstract: In this paper, we investigate a diffusive predator-prey model with a general predator functional response. We show that there exist no nonconstant positive steady states when the interaction between the predator and prey is strong.… read more here.
Keywords: predator; predator prey; prey model; diffusive predator ... See more keywords