Positive Steady-State Solutions for a Class of Prey-Predator Systems with Indirect Prey-Taxis
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Publication:6086715
DOI10.1137/22m1529518zbMath1526.35156OpenAlexW4388130674MaRDI QIDQ6086715
Publication date: 10 November 2023
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/22m1529518
Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Boundary value problems for second-order elliptic systems (35J57)
Cites Work
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- Homogenization of elliptic eigenvalue problems. I
- Global stability of prey-taxis systems
- The dynamics of a predator-prey model with diffusion and indirect prey-taxis
- On global bifurcation for quasilinear elliptic systems on bounded domains
- \(S\)-shaped global bifurcation curve and Hopf bifurcation of positive solutions to a predator-prey model
- Degree theory for \(C^1\) Fredholm mappings of index 0
- Diffusion vs cross-diffusion: An elliptic approach
- Existence and uniqueness of coexistence states for the predator-prey model with diffusion: The scalar case
- Existence and uniqueness of coexistence states for a predator-prey model with diffusion
- On the spectrum of some linear noncooperative elliptic systems with radial symmetry
- Unilateral global bifurcation for a class of quasilinear elliptic systems and applications
- Asymptotic homogenization in a three-dimensional nutrient taxis system involving food-supported proliferation
- Axiomatization of the degree of Fitzpatrick, Pejsachowicz and Rabier
- Global existence and stability of the classical solution to a density-dependent prey-predator model with indirect prey-taxis
- Global well-posedness and stability analysis of prey-predator model with indirect prey-taxis
- Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
- Some global results for nonlinear eigenvalue problems
- Bifurcation from simple eigenvalues
- Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
- Stability and double-Hopf bifurcations of a Gause-Kolmogorov-type predator-prey system with indirect prey-taxis
- Qualitative behaviour of positive solutions of a predator—prey model: effects of saturation
- Predator–prey model with diffusion and indirect prey-taxis
- Global bifurcation for Fredholm operators
- On Positive Solutions of Some Pairs of Differential Equations
- 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
- Coexistence regions in Lotka-Volterra models with diffusion
- Some uniqueness and exact multiplicity results for a predator-prey model
- Coexistence states in a cross-diffusion system of a predator–prey model with predator satiation term
- Linear Second Order Elliptic Operators
- The role of indirect prey‐taxis and interference among predators in pattern formation
- Global dynamics and spatio-temporal patterns of predator–prey systems with density-dependent motion
- Pattern formation in prey-taxis systems
- Counting Zeros of C 1 Fredholm Maps of Index 1
- Asymptotic dynamics and spatial patterns of a ratio-dependent predator–prey system with prey-taxis
- Global bifurcation of coexistence states for a prey-predator model with prey-taxis/predator-taxis
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