Bifurcation branch and stability of stationary solutions of a predator–prey model
From MaRDI portal
Publication:5085513
DOI10.1080/00036811.2020.1811977zbMath1492.35111OpenAlexW3080323599WikidataQ115552840 ScholiaQ115552840MaRDI QIDQ5085513
Publication date: 27 June 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2020.1811977
Population dynamics (general) (92D25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61) Boundary value problems for second-order elliptic systems (35J57)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spatial degeneracy vs functional response
- The effects of spatial heterogeneity in population dynamics
- Qualitative analysis of predator-prey models with Beddington-De Angelis functional response and diffusion
- Bifurcation branch of stationary solutions for a Lotka-Volterra cross-diffusion system in a spatially heterogeneous environment
- Uniqueness and stability of positive steady state solutions for a ratio-dependent predator-prey system with a crowding term in the prey equation
- Dispersal and spatial heterogeneity: single species
- On global bifurcation for quasilinear elliptic systems on bounded domains
- Global analysis of the predator--prey system with Beddington-DeAngelis functional response.
- Effects of a degeneracy in the competition model. I: Classical and generalized steady-state solutions
- Effects of a degeneracy in the competition model. II: Perturbation and dynamical behaviour
- Combined effects of the spatial heterogeneity and the functional response
- Effects of a degeneracy in a diffusive predator-prey model with Holling II functional response
- Asymptotic behavior and stability of positive solutions to a spatially heterogeneous predator-prey system
- Existence and the dynamical behaviors of the positive solutions for a ratio-dependent predator-prey system with the crowing term and the weak growth
- A diffusive predator-prey model in heterogeneous environment
- Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear elliptic equations
- Persistence and bifurcation of degenerate solutions
- Long-time behavior of a diffusive prey-predator system with Beddington-DeAngelis functional response in heterogeneous environment
- Uniqueness and stability of positive solutions for a diffusive predator-prey model in heterogeneous environment
- Effect of cross-diffusion on the stationary problem of a prey-predator model with a protection zone
- On the effects of migration and spatial heterogeneity on single and multiple species
- Stability and Turing instability in a diffusive predator-prey system with beddington-deangelis functional response
- Some global results for nonlinear eigenvalue problems
- Bifurcation from simple eigenvalues
- A spatial SIS model in advective heterogeneous environments
- Multiplicity and uniqueness of positive solutions for a predator-prey model with B-D functional response
- Qualitative behaviour of positive solutions of a predator—prey model: effects of saturation
- Spatiotemporal Complexity of Plankton and Fish Dynamics
- Allee effect and bistability in a spatially heterogeneous predator-prey model
- On the Positive Solutions of Semilinear Equations Δu + λu - hu p = 0 on the Compact Manifolds
- Some uniqueness and exact multiplicity results for a predator-prey model
- The Bifurcation Structure of the Holling--Tanner Model for Predator-Prey Interactions Using Two-Timing
- Effects of degeneracy and response function in a diffusion predator–prey model
- Blow-Up Solutions for a Class of Semilinear Elliptic and Parabolic Equations
- Effects of Certain Degeneracies in the Predator-Prey Model
- On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
This page was built for publication: Bifurcation branch and stability of stationary solutions of a predator–prey model