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- W2510123742 abstract "We analyze predator–prey models in which the movement of predator searching for prey is the superposition of random dispersal and taxis directed toward the gradient of concentration of some chemical released by prey (e.g. pheromone), Model II, or released from damaged or injured prey due to predation (e.g. blood), Model I. The logistic O.D.E. describing the dynamics of prey population is coupled to a fully parabolic chemotaxis system describing the dispersion of chemoattractant and predator’s behavior. Global-in-time solutions are proved in any space dimension and stability of homogeneous steady states is shown by linearization for a range of parameters. For space dimension [Formula: see text] the basin of attraction of such a steady state is characterized by means of nonlinear analysis under some structural assumptions. In contrast to Model II, Model I possesses spatially inhomogeneous steady states at least in the case [Formula: see text]." @default.
- W2510123742 created "2016-09-16" @default.
- W2510123742 creator A5017913354 @default.
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- W2510123742 date "2016-10-01" @default.
- W2510123742 modified "2023-10-11" @default.
- W2510123742 title "Predator–prey model with diffusion and indirect prey-taxis" @default.
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- W2510123742 doi "https://doi.org/10.1142/s0218202516400108" @default.
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