Bifurcation structure of coexistence states for a prey–predator model with large population flux by attractive transition
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Publication:5094463
DOI10.1017/prm.2021.43zbMath1497.35188OpenAlexW3195990620WikidataQ115563581 ScholiaQ115563581MaRDI QIDQ5094463
Publication date: 3 August 2022
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/prm.2021.43
Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Semilinear elliptic equations (35J61) Boundary value problems for second-order elliptic systems (35J57)
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Cites Work
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- Qualitative analysis of a Lotka-Volterra competition system with advection
- Pattern formation in a cross-diffusion system
- On positive solutions of some pairs of differential equations. II
- Bifurcation branch of stationary solutions for a Lotka-Volterra cross-diffusion system in a spatially heterogeneous environment
- On global bifurcation for quasilinear elliptic systems on bounded domains
- Stability and Hopf bifurcation of coexistence steady-states to an SKT model in spatially heterogeneous environment
- Coexistence problem for two competing species models with density- dependent diffusion
- Spatial segregation in competitive interaction-diffusion equations
- Stationary pattern of some density-dependent diffusion system with competitive dynamics
- Diffusion vs cross-diffusion: An elliptic approach
- Existence and uniqueness of coexistence states for the predator-prey model with diffusion: The scalar case
- Stability of singularly perturbed solutions to nonlinear diffusion systems arising in population dynamics
- On the spectrum of some linear noncooperative elliptic systems with radial symmetry
- Positive steady-states for two interacting species models with linear self-cross diffusions
- Coexistence theorem of steady states for nonlinear self-cross diffusion systems with competitive dynamics.
- Stability of steady-state solutions to a prey--predator system with cross-diffusion.
- Multiple coexistence states for a prey-predator system with cross-diffusion.
- On a limiting system in the Lotka-Volterra competition with cross-diffusion.
- Diffusion and ecological problems: Modern perspectives.
- Positive steady states for a prey-predator model with population flux by attractive transition
- Stability analysis on a type of steady state for the SKT competition model with large cross diffusion
- Diffusion, self-diffusion and cross-diffusion
- Pattern formation in diffusive predator-prey systems with predator-taxis and prey-taxis
- Limiting structure of steady-states to the Lotka-Volterra competition model with large diffusion and advection
- Bifurcation, perturbation of simple eigenvalues, and linearized stability
- On the limiting system in the Shigesada, Kawasaki and Teramoto model with large cross-diffusion rates
- Existence and instability of some nontrivial steady states for the SKT competition model with large cross diffusion
- Bifurcation from simple eigenvalues
- Limiting Structure of Shrinking Solutions to the Stationary Shigesada--Kawasaki--Teramoto Model with Large Cross-Diffusion
- Bifurcation of steady-state solutions in predator-prey and competition systems
- Positive solutions for Lotka–Volterra competition systems with large cross-diffusion
- Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
- On the uniqueness and ordering of steady states of predator-prey systems
- Coexistence regions in Lotka-Volterra models with diffusion
- Uniqueness and nonuniqueness of coexistence states in the lotka‐volterra competition model
- On the Structure of Positive Solutions for the Shigesada–Kawasaki–Teramoto Model with Large Interspecific Competition Rate
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