Pattern dynamics of a predator-prey system with Ivlev-type functional response

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)

Cites Work

Unnamed Item
Dynamics in a diffusive predator-prey system with strong Allee effect and Ivlev-type functional response
Modeling herd behavior in population systems
Dynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in prey
Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: strong interaction case
Large amplitude stationary solutions to a chemotaxis system
Geometric theory of semilinear parabolic equations
Some results on global stability of a predator-prey system
Analytical treatment of pattern formation in the Gierer-Meinhardt model of morphogenesis
Two-parameter bifurcation in a predator-prey system of Ivlev type
Positive steady-state solutions of the Noyes--Field model for Belousov--Zhabotinskii reaction.
Spatiotemporal patterns of a homogeneous diffusive predator-prey system with Holling type III functional response
Non-constant positive steady states of the Sel'kov model.
Pattern formation in spatially heterogeneous Turing reaction-diffusion models
Diffusion, self-diffusion and cross-diffusion
Existence and stability of multiple-spot solutions for the Gray-Scott model in \(\mathbb{R}^2\)
A predator-prey model with Ivlev's functional response
Predator-prey dynamics with square root functional responses
Stationary pattern of a reaction-diffusion mussel-algae model
Stability and Hopf bifurcation for a delayed predator-prey model with stage structure for prey and Ivlev-type functional response
Nonlinear stability analyses of Turing patterns for a mussel-algae model
Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
Turing pattern formation with two kinds of cells and a diffusive chemical
Some global results for nonlinear eigenvalue problems
On the Neumann Problem for Some Semilinear Elliptic Equations and Systems of Activator-Inhibitor Type
Global Existence and Boundedness in Reaction-Diffusion Systems
Convergence to Homogeneous Equilibrium State for Generalized Volterra–Lotka Systems with Diffusion
A chemical approach to designing Turing patterns in reaction-diffusion systems.
Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion
Qualitative analysis of a ratio-dependent predator–prey system with diffusion
A priori bounds and global existence of solutions of the steady-state Sel'kov model
The chemical basis of morphogenesis
Global bifurcation in the Brusselator system
Spatiotemporal Patterns in a Delayed Reaction–Diffusion Mussel–Algae Model
Dynamical analysis in a diffusive predator‐prey system with a delay and strong Allee effect
Bounds for the Steady-State Sel'kov Model for Arbitrarypin Any Number of Dimensions
Stationary Pattern of a Ratio-Dependent Food Chain Model with Diffusion

This page was built for publication: Pattern dynamics of a predator-prey system with Ivlev-type functional response