Nonconstant steady states and pattern formations of generalized 1D cross‐diffusion systems with prey‐taxis
From MaRDI portal
Publication:6068164
DOI10.1111/sapm.12560zbMath1530.92181MaRDI QIDQ6068164
No author found.
Publication date: 15 December 2023
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
pattern formationsnonconstant steady states1D cross-diffusion systems with prey-taxisgeneral functional responses
Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Ecology (92D40) Bifurcations in context of PDEs (35B32)
Cites Work
- Unnamed Item
- The study of global stability of a diffusive Holling-Tanner predator-prey model
- Global boundedness of solutions in a reaction-diffusion system of predator-prey model with prey-taxis
- Cross-diffusion induced instability and pattern formation for a Holling type-II predator-prey model
- Bifurcation analysis on a diffusive Holling-Tanner predator-prey model
- Positive steady state solutions of a diffusive Leslie-Gower predator-prey model with Holling type II functional response and cross-diffusion
- Qualitative analysis of a Lotka-Volterra competition system with advection
- Stationary and time-periodic patterns of two-predator and one-prey systems with prey-taxis
- Nonconstant positive steady states and pattern formation of 1D prey-taxis systems
- Dynamics of species in a model with two predators and one prey
- Spatio-temporal chaos in a chemotaxis model
- Global stability of prey-taxis systems
- Competition and stoichiometry: coexistence of two predators on one prey
- Continuous traveling waves for prey-taxis
- Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
- A user's guide to PDE models for chemotaxis
- A reaction-diffusion system modeling predator-prey with prey-taxis
- On global bifurcation for quasilinear elliptic systems on bounded domains
- Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Stability of steady-state solutions to a prey--predator system with cross-diffusion.
- Multiple coexistence states for a prey-predator system with cross-diffusion.
- Global bifurcation and pattern formation for a reaction-diffusion predator-prey model with prey-taxis and double Beddington-DeAngelis functional responses
- Bifurcation analysis of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and strong Allee effect
- Full cross-diffusion limit in the stationary Shigesada-Kawasaki-Teramoto model
- Rigorous derivation of population cross-diffusion systems from moderately interacting particle systems
- Global dynamics and traveling wave solutions of two predators-one prey models
- Bifurcation, perturbation of simple eigenvalues, and linearized stability
- The study of global stability of a periodic Beddington-DeAngelis and Tanner predator-prey model
- On global bifurcation for a cross-diffusion predator-prey system with prey-taxis
- Time-periodic and stable patterns of a two-competing-species Keller-Segel chemotaxis model: effect of cellular growth
- Stationary patterns of the Holling-Tanner prey-predator model with diffusion and cross-diffu\-sion
- Analysis of a parabolic cross-diffusion population model without self-diffusion
- Global existence and steady states of a two competing species Keller-Segel chemotaxis model
- Bifurcation from simple eigenvalues
- Metastability in chemotaxis models
- Spatial patterns of the Holling–Tanner predator–prey model with nonlinear diffusion effects
- Stabilization in a two-species chemotaxis system with a logistic source
- Dynamics of a Predator-Prey Model
- Analysis of a Multidimensional Parabolic Population Model with Strong Cross-Diffusion
- Positive steady states of the Holling–Tanner prey–predator model with diffusion
- Global Stability for a Class of Predator-Prey Systems
- Hopf bifurcation and Turing instability in the reaction-diffusion Holling-Tanner predator-prey model
- Global stability of solutions in a reaction-diffusion system of predator-prey model
- Pattern formation in prey-taxis systems
- Travelling waves in the Holling–Tanner model with weak diffusion
- Global existence of solutions to Shigesada-Kawasaki-Teramoto cross-diffusion systems on domains of arbitrary dimensions
- Global existence for a parabolic chemotaxis model with prevention of overcrowding