Boundedness and stabilization enforced by mild saturation of taxis in a producer-scrounger model
From MaRDI portal
Publication:2215479
DOI10.1016/j.nonrwa.2020.103189zbMath1459.92018OpenAlexW3047145177MaRDI QIDQ2215479
Publication date: 13 December 2020
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2020.103189
maximal Sobolev regularityglobal smooth solutionsweighted \(L^p\) estimateprevention of overcrowdingtaxis cascade
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items
Global solutions of a doubly tactic resource consumption model with logistic source ⋮ Global existence and stabilization in a forager-exploiter model with general logistic sources ⋮ Boundedness and stabilization in a quasilinear forager-exploiter model with volume-filling effects ⋮ Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision ⋮ Global boundedness and stabilization in a forager-exploiter model with logistic growth and nonlinear resource consumption ⋮ Global solutions of a forager-exploiter model with nonlinear diffusions ⋮ Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers ⋮ Global bounded solution to a forager-exploiter model with gradient dependent chemotactic coefficients ⋮ Depleting the signal: Analysis of chemotaxis‐consumption models—A survey ⋮ The effects of cross-diffusion and logistic source on the boundedness of solutions to a pursuit-evasion model ⋮ Global existence and boundedness of a forager-exploiter system with nonlinear diffusions ⋮ Asymptotic behavior in a doubly tactic resource consumption model with proliferation ⋮ Solvability of solid tumor invasion model ⋮ Asymptotic behavior in a forager-exploiter model with nonlinear resource consumption with/without general logistic sources ⋮ Global existence and asymptotic stability of solutions to a forager-exploiter model with logistic source ⋮ Boundedness in a Forager-Exploiter Model Accounting for Gradient-Dependent Flux-Limitation
Cites Work
- Unnamed Item
- Unnamed Item
- Boundedness in a three-dimensional chemotaxis-haptotaxis model
- Reaction-diffusion-advection models for the effects and evolution of dispersal
- Global solutions to a chemotaxis model with consumption of chemoattractant
- 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
- Global stability of prey-taxis systems
- Initiation of slime mold aggregation viewed as an instability
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- A user's guide to PDE models for chemotaxis
- Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
- Steady-state distribution of bacteria chemotactic toward oxygen
- Global dynamics for a diffusive predator-prey model with prey-taxis and classical Lotka-Volterra kinetics
- Global smooth solvability of a parabolic-elliptic nutrient taxis system in domains of arbitrary dimension
- Asymptotic homogenization in a three-dimensional nutrient taxis system involving food-supported proliferation
- Global existence and boundedness of classical solutions to a forager-exploiter model with volume-filling effects
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Boundedness vs. blow-up in a chemotaxis system
- Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
- Bacterial swimming and oxygen transport near contact lines
- Boundedness in chemotaxis systems with rotational flux terms
- Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity
- On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
- Heat kernels and maximal lp—lqestimates for parabolic evolution equations
- The chemical basis of morphogenesis
- Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food
- Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions
- Pattern formation in prey-taxis systems
- Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
- Global existence for a parabolic chemotaxis model with prevention of overcrowding
This page was built for publication: Boundedness and stabilization enforced by mild saturation of taxis in a producer-scrounger model
