Coexistence of a three species predator-prey model with diffusion and density dependent mortality
DOI10.1007/s12215-011-0044-4zbMath1231.35276OpenAlexW1999379087WikidataQ110792039 ScholiaQ110792039MaRDI QIDQ660484
Publication date: 3 February 2012
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12215-011-0044-4
global stabilitylocal stabilityfunctional responsecoexistencecompetitive exclusiondensity dependent mortality
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Competition and stoichiometry: coexistence of two predators on one prey
- Large amplitude stationary solutions to a chemotaxis system
- Bifurcation from a limit cycle in a two predator-one prey ecosystem modeled on a chemostat
- Permanence and the dynamics of biological systems
- Some mathematical problems concerning the ecological principle of competitive exclusion
- Diffusion vs cross-diffusion: An elliptic approach
- Effect of cross-diffusion on pattern formation - a nonlinear analysis
- Positive steady-state solutions of the Noyes--Field model for Belousov--Zhabotinskii reaction.
- Stationary patterns created by cross-diffusion for the competitor-competitor-mutualist model
- On \(3\times 3\) Lotka-Volterra competition systems with cross-diffusion
- Mini-maximizers for reaction-diffusion systems with skew-gradient structure
- Spikes for the Gierer-Meinhardt system in two dimensions: the strong coupling case
- Dynamics of Lotka-Volterra competition systems with large interaction
- An interfacial approach to regional segregation of two competing species mediated by a predator
- Non-constant positive steady states of the Sel'kov model.
- Diffusion, self-diffusion and cross-diffusion
- Stationary patterns of strongly coupled prey--predator models
- Existence and instability of Neumann layer solutions for a 3-component Lotka-Volterra model with diffusion
- Qualitative behaviour of positive solutions of a predator—prey model: effects of saturation
- Periodic Two-Predator, One-Prey Interactions and the Time Sharing of a Resource Niche
- Stripes or spots? Nonlinear effects in bifurcation of reaction—diffusion equations on the square
- The Interaction of Steady State and Hopf Bifurcations in a Two-Predator–One-Prey Competition Model
- Competing Predators
- Singular Perturbation Approach to a 3-component Reaction-Diffusion System Arising in Population Dynamics
- Spatial Ecology via Reaction‐Diffusion Equations
- 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
- Remarks on Competitive Coexistence
- Asymmetric spike patterns for the one-dimensional Gierer–Meinhardt model: equilibria and stability
- Qualitative Behavior of Solutions of Chemotactic Diffusion Systems: Effects of Motility and Chemotaxis and Dynamics
- Zip bifurcation in a competition model
- Pattern formation outside of equilibrium
- The stability of spike solutions to the one-dimensional Gierer-Meinhardt model
This page was built for publication: Coexistence of a three species predator-prey model with diffusion and density dependent mortality
