Global bounded solution of the higher-dimensional forager–exploiter model with/without growth sources
From MaRDI portal
Publication:5127161
DOI10.1142/S0218202520500232zbMath1453.35171arXiv1911.12946OpenAlexW3035048964MaRDI QIDQ5127161
No author found.
Publication date: 21 October 2020
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.12946
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) 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 ⋮ Global generalized solutions to the forager-exploiter model with logistic growth ⋮ Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision ⋮ Boundedness in a two-species chemotaxis system with nonlinear resource consumption ⋮ Global bounded solution of a forager-exploiter model with logistic sources and different taxis mechanisms ⋮ Qualitative properties for a three-species food chain model with cross-diffusion and intra-specific competition ⋮ 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 ⋮ Global boundedness for a food chain model with general logistic source ⋮ Depleting the signal: Analysis of chemotaxis‐consumption models—A survey ⋮ Dynamic behavior analysis to a generalized chemotaxis-consumption system ⋮ Global boundedness for a chemotaxis system involving nonlinear indirect consumption mechanism ⋮ Global existence and boundedness of a forager-exploiter system with nonlinear diffusions ⋮ Global bounded solution to a chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis ⋮ Asymptotic behavior in a doubly tactic resource consumption model with proliferation ⋮ Global boundedness of solutions to the two-dimensional forager-exploiter model with logistic source ⋮ Dynamics and pattern formation in a cross-diffusion model with stage structure for predators ⋮ 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
- Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces
- Exponential attractor for a chemotaxis-growth system of equations
- Boundedness and global stability of the two-predator and one-prey models with nonlinear prey-taxis
- Global stability of prey-taxis systems
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
- Global solution of a diffusive predator-prey model with prey-taxis
- 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
- Asymptotic decay for the solutions of the parabolic-parabolic Keller-Segel chemotaxis system in critical spaces
- Stabilization in a chemotaxis model for tumor invasion
- Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
- Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
- Global Existence and Uniform Boundedness of Smooth Solutions to a Cross-Diffusion System with Equal Diffusion Rates
- Sub-logistic source can prevent blow-up in the 2D minimal Keller-Segel chemotaxis system
- Boundedness in the higher-dimensional Keller-Segel model with signal-dependent motility and logistic growth
- COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS
- 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
- A new result for 2D boundedness of solutions to a chemotaxis–haptotaxis model with/without sub-logistic source
