Positive solutions for a Lotka-Volterra prey-predator model with cross-diffusion and Holling type-II functional response
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Publication:476929
DOI10.1007/S11425-013-4711-0zbMath1315.35089OpenAlexW2268017670WikidataQ115602263 ScholiaQ115602263MaRDI QIDQ476929
Publication date: 2 December 2014
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-013-4711-0
uniquenessdegree theorycross-diffusionHolling type II functional responseLotka-Volterra prey-predator modelpositive steady state
Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Second-order elliptic systems (35J47) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)
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Cross-diffusion induced instability and pattern formation for a Holling type-II predator-prey model ⋮ Turing Instability and Hopf Bifurcation in a Modified Leslie–Gower Predator–Prey Model with Cross-Diffusion ⋮ Fixed point theory and positive solutions for a ratio-dependent elliptic system ⋮ On a predator-prey system interaction under fluctuating water level with nonselective harvesting ⋮ Positive solutions of a predator-prey model with cross-diffusion ⋮ Spatiotemporal Complexity Analysis for a Space-Time Discrete Generalized Toxic-Phytoplankton-Zooplankton Model with Self-Diffusion and Cross-Diffusion
Cites Work
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- Positive solutions bifurcating from zero solution in a Lotka-Volterra competitive system with cross-diffusion effects
- Coexistence states for a diffusive one-prey and two-predators model with B-D functional response
- The effect of mutual interference between predators on a predator-prey model with diffusion
- Existence of positive solutions for elliptic systems - degenerate and nondegenerate ecological models
- Bifurcation branch of stationary solutions for a Lotka-Volterra cross-diffusion system in a spatially heterogeneous environment
- Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
- Positive solutions of a prey-predator model with predator saturation and competition
- Coexistence states of a Holling type-II predator-prey system
- Multiplicity and stability of a predator-prey model with non-monotonic conversion rate
- Analysis of diffusive two-competing-prey and one-predator systems with Beddington-DeAngelis functional response
- An initial-boundary-value problem for a certain density-dependent diffusion system
- Spatial segregation in competitive interaction-diffusion equations
- Stationary pattern of some density-dependent diffusion system with competitive dynamics
- Positive periodic solutions of Lotka-Volterra reaction-diffusion systems
- Diffusion vs cross-diffusion: An elliptic approach
- Existence and uniqueness of coexistence states for a predator-prey model with diffusion
- Stability of singularly perturbed solutions to nonlinear diffusion systems arising in population dynamics
- 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 the global existence of a cross-diffusion system
- Diffusion and ecological problems: Modern perspectives.
- Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion
- Coexistence of a general elliptic system in population dynamics
- Diffusion, self-diffusion and cross-diffusion
- On the indices of fixed points of mappings in cones and applications
- Positive steady-state solutions of a competing reaction-diffusion system with large cross-diffusion coefficients
- Positive steady states for prey-predator models with cross-diffusion
- A qualitative study on general Gause-type predator-prey models with constant diffusion rates
- Coexistence states of a predator-prey system with non-monotonic functional response
- Multiplicity and uniqueness of positive solutions for a predator-prey model with B-D functional response
- On Positive Solutions of Some Pairs of Differential Equations
- Allee effect and bistability in a spatially heterogeneous predator-prey model
- Positive solutions for Lotka–Volterra competition systems with large cross-diffusion
- Coexistence Theorems of Steady States for Predator-Prey Interacting Systems
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- Uniqueness and nonuniqueness of coexistence states in the lotka‐volterra competition model
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