Steady state bifurcation and pattern formation of a diffusive population model

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Pattern formations in context of PDEs (35B36)

Cites Work

Analysis of a stochastic tri-trophic food-chain model with harvesting
Nonconstant positive steady states and pattern formation of 1D prey-taxis systems
Dynamics of a stochastic predator-prey model with stage structure for predator and Holling type II functional response
Pattern formation in a three-species cyclic competition model
Asymptotic stability of tri-trophic food chains sharing a common resource
On global bifurcation for quasilinear elliptic systems on bounded domains
Turing patterns in a predator-prey model with seasonality
Global stability in a multi-dimensional predator-prey system with prey-taxis
Effects of dispersal for a predator-prey model in a heterogeneous environment
Global existence and convergence to steady states for a predator-prey model with both predator- and prey-taxis
Asymptotic behavior of an age-structured prey-predator system with distributed delay
Bifurcation analysis for a single population model with advection
Non-constant steady states and Hopf bifurcation of a species interaction model
Predator invasion in predator-prey model with prey-taxis in spatially heterogeneous environment
Stability and bifurcation analysis of Filippov food chain system with food chain control strategy
Mathematical modeling of cyclic population dynamics
Bifurcation, perturbation of simple eigenvalues, and linearized stability
Hopf bifurcations in a predator-prey model with an omnivore
Global well-posedness and stability analysis of prey-predator model with indirect prey-taxis
Dynamical behavior of a fractional three-species food chain model
Bifurcation from simple eigenvalues
A chemotaxis predator-prey model with indirect pursuit-evasion dynamics and parabolic signal
Dynamics of a harvested predator-prey model with predator-taxis
Spatial patterns of the Holling–Tanner predator–prey model with nonlinear diffusion effects
Period doubling cascades in a predator-prey model with a scavenger
Periodic Solutions for a Predator–Prey Model with Periodic Harvesting Rate
Multistability in the cyclic competition system
A fractional model for predator-prey with omnivore
Global stability of spatially nonhomogeneous steady state solution in a diffusive Holling-Tanner predator-prey model
Dynamics of a predator–prey system with nonlinear prey-taxis
Global bifurcation of solutions for a predator–prey model with prey‐taxis
Global dynamics in stochastic n‐species food chain systems with white noise and Lévy jumps
Steady-state bifurcation in Previte-Hoffman model

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