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- W3100345622 abstract "Abstract This paper investigates the global well-posedness of a class of reaction–advection–diffusion models with nonlinear diffusion and Lotka–Volterra dynamics. We prove the existence and uniform boundedness of the global-in-time solutions to the fully parabolic systems under certain growth conditions on the diffusion and sensitivity functions. Global existence and uniform boundedness of the corresponding parabolic–elliptic system are also obtained. Our results suggest that attraction (positive taxis) inhibits blowups in Lotka–Volterra competition systems." @default.
- W3100345622 created "2020-11-23" @default.
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- W3100345622 date "2019-04-03" @default.
- W3100345622 modified "2023-10-17" @default.
- W3100345622 title "Global well-posedness of advective Lotka–Volterra competition systems with nonlinear diffusion" @default.
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- W3100345622 doi "https://doi.org/10.1017/prm.2019.10" @default.
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