Convergence rates of solutions in a predator-prey system with indirect pursuit-evasion interaction in domains of arbitrary dimension
From MaRDI portal
Publication:2099219
DOI10.3934/dcdsb.2022168zbMath1502.35019OpenAlexW4293551684MaRDI QIDQ2099219
Publication date: 23 November 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2022168
chemotaxisconvergence ratelong time behaviorpredator-prey systemlogistic sourceunique global bounded classical solution
Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (7)
Global existence and asymptotic behavior of a predator-prey chemotaxis system with inter-species interaction coefficients ⋮ Global and bounded solution to a quasilinear parabolic-elliptic pursuit-evasion system in \(N\)-dimensional domains ⋮ Some progress for global existence and boundedness in a multi-dimensional parabolic-elliptic two-species chemotaxis system with indirect pursuit-evasion interaction ⋮ Solutions with positive components to quasilinear parabolic systems ⋮ The exact solutions of the fractional-stochastic Fokas-Lenells equation in optical fiber communication ⋮ Global existence and boundedness for an \(N\)-dimensional parabolic-elliptic chemotaxis-fluid system with indirect pursuit-evasion ⋮ Investigation of the global dynamics of two exponential-form difference equations systems
Cites Work
- Chemotactic signaling, microglia, and Alzheimer's disease senile plaques: Is there a connection?
- Blowup and global solutions in a chemotaxis-growth system
- Boundedness and blow up in the higher-dimensional attraction-repulsion chemotaxis system with nonlinear diffusion
- Boundedness in a parabolic-elliptic chemotaxis-growth system under a critical parameter condition
- Analysis of kinetic and macroscopic models of pursuit-evasion dynamics
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Exponential attractor for a chemotaxis-growth system of equations
- Global stability of prey-taxis systems
- Global bounded weak solutions for a chemotaxis-Stokes system with nonlinear diffusion and rotation
- A fully cross-diffusive two-component evolution system: existence and qualitative analysis via entropy-consistent thin-film-type approximation
- Initiation of slime mold aggregation viewed as an instability
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Global boundedness in an attraction-repulsion chemotaxis system with logistic source
- Diffusion, self-diffusion and cross-diffusion
- Semi-linear second-order elliptic equations in \(L^1\)
- Global boundedness in a chemotaxis quasilinear parabolic predator-prey system with pursuit-evasion
- A new result on existence of global bounded classical solution to a attraction-repulsion chemotaxis system with logistic source
- Eventual smoothness and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system with rotational flux
- Boundedness and asymptotic stability in a predator-prey chemotaxis system with indirect pursuit-evasion dynamics
- A reaction-diffusion predator-prey model with pursuit, evasion, and nonlocal sensing
- Large time behavior in a predator-prey system with indirect pursuit-evasion interaction
- A new result for the global existence (and boundedness) and regularity of a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
- Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
- Self-organized populations interacting under pursuit-evasion dynamics
- On a quasilinear parabolic-elliptic chemotaxis system with logistic source
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
- Boundedness vs. blow-up in a chemotaxis system
- Stabilization in a chemotaxis model for tumor invasion
- Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
- A Minimal Model of Pursuit-Evasion in a Predator-Prey System
- On an attraction–repulsion chemotaxis system with a logistic source
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
- Finite-time blow-up in a quasilinear system of chemotaxis
- On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- A Chemotaxis System with Logistic Source
- Boundedness of solutions to a quasilinear parabolic-elliptic Keller-Segel system with logistic source
- A note on boundedness of solutions to a higher‐dimensional quasi–linear chemotaxis system with logistic source
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Convergence rates of solutions in a predator-prey system with indirect pursuit-evasion interaction in domains of arbitrary dimension
