Coexistence of heterogeneous predator-prey systems with prey-dependent dispersal

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Traveling wave solutions for some classes of diffusive predator-prey models
Starvation driven diffusion as a survival strategy of biological organisms
Reaction-diffusion-advection models for the effects and evolution of dispersal
Traveling wave solutions for a class of predator-prey systems
Model for chemotaxis
Traveling bands of chemotactic bacteria: a theoretical analysis
Movement toward better environments and the evolution of rapid diffusion
Dispersal and spatial heterogeneity: single species
Evolution of dispersal and the ideal free distribution
Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
The evolution of slow dispersal rates: a reaction diffusion model
An application of the invariance principle to reaction diffusion equations
On the fixed point index and multiple steady-state solutions of reaction- diffusion systems
Elliptic partial differential equations of second order
The effects of density-dependent dispersal on the spatiotemporal dynamics of cyclic populations
Diffusion, self-diffusion and cross-diffusion
On the indices of fixed points of mappings in cones and applications
Deriving reaction-diffusion models in ecology from interacting particle systems
Positive steady states for prey-predator models with cross-diffusion
Biological advection and cross-diffusion with parameter regimes
Uniqueness and stability of positive solutions for a diffusive predator-prey model in heterogeneous environment
On the effects of migration and spatial heterogeneity on single and multiple species
Population dynamics with resource-dependent dispersal: single- and two-species models
Global boundedness and dynamics of a diffusive predator-prey model with modified Leslie-Gower functional response and density-dependent motion
Predator-prey models with prey-dependent diffusion on predators in spatially heterogeneous habitat
Global Dynamics of the Lotka-Volterra Competition-Diffusion System: Diffusion and Spatial Heterogeneity I
On Positive Solutions of Some Pairs of Differential Equations
Diffusive and nondiffusive population models
Allee effect and bistability in a spatially heterogeneous predator-prey model
Coexistence Theorems of Steady States for Predator-Prey Interacting Systems
Some uniqueness and exact multiplicity results for a predator-prey model
Effects of degeneracy and response function in a diffusion predator–prey model
Uniqueness and Complete Dynamics in Heterogeneous Competition-Diffusion Systems
Global dynamics and spatio-temporal patterns of predator–prey systems with density-dependent motion

This page was built for publication: Coexistence of heterogeneous predator-prey systems with prey-dependent dispersal