Global existence and boundedness of a forager-exploiter system with nonlinear diffusions
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Publication:2219052
DOI10.1016/j.jde.2020.12.028zbMath1456.35203OpenAlexW3121098005MaRDI QIDQ2219052
Publication date: 19 January 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2020.12.028
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)
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Cites Work
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- Global existence and uniform boundedness of smooth solutions to a parabolic-parabolic chemotaxis system with nonlinear diffusion
- Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
- Global existence to a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant
- A note on global existence to a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant
- Boundedness in a chemotaxis model with oxygen consumption by bacteria
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Global stability of prey-taxis systems
- Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
- Elliptic partial differential equations of second order
- Global smooth solvability of a parabolic-elliptic nutrient taxis system in domains of arbitrary dimension
- Global solution of a diffusive predator-prey model with prey-taxis
- Boundedness and stabilization enforced by mild saturation of taxis in a producer-scrounger model
- Boundedness in a parabolic-parabolic chemotaxis system with nonlinear diffusion
- New critical exponents in a fully parabolic quasilinear Keller-Segel system and applications to volume filling models
- Global existence and boundedness of classical solutions to a forager-exploiter model with volume-filling effects
- Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption
- Finite-time blowup in a supercritical quasilinear parabolic-parabolic Keller-Segel system in dimension 2
- Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
- Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
- Global Existence and Uniform Boundedness of Smooth Solutions to a Cross-Diffusion System with Equal Diffusion Rates
- Does a ‘volume-filling effect’ always prevent chemotactic collapse?
- Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food
- Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties
- Global radial renormalized solution to a producer–scrounger model with singular sensitivities
- Global bounded solution of the higher-dimensional forager–exploiter model with/without growth sources
- Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions
- Pattern formation in prey-taxis systems
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops