Hopf bifurcation analysis of a two‐delayed diffusive predator–prey model with spatial memory of prey
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DOI: 10.1002/mma.10416
Abstract: In this paper, we consider a diffusive predator–prey model with spatial memory of prey and gestation delay of predator. For the system without delays, we study the stability of the positive equilibrium in the case… read more here.
Keywords: bifurcation; prey; diffusive predator; hopf bifurcation ... See more keywords
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
Analytical and numerical investigations of a diffusive predator-prey system in population dynamics
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DOI: 10.1088/1402-4896/adee62
Abstract: This study primarily aims to investigate analytical and numerical solutions of a system of coupled nonlinear partial differential equations that represent the spatio-temporal dynamics of a predator-prey ecosystem where the Allee effect influences the prey… read more here.
Keywords: system; prey system; diffusive predator; analytical numerical ... 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