Coexistence states of a Holling type II predator-prey system with self and cross-diffusion terms
From MaRDI portal
Publication:2090333
DOI10.3934/dcdsb.2021211zbMath1501.35181OpenAlexW3194058832WikidataQ113201462 ScholiaQ113201462MaRDI QIDQ2090333
Carlos Alberto Santos, Willian Cintra, Jiazheng Zhou
Publication date: 25 October 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2021211
Population dynamics (general) (92D25) Quasilinear elliptic equations (35J62) Boundary value problems for second-order elliptic systems (35J57)
Related Items
Global bifurcation of coexistence states for a prey-taxis system with homogeneous Dirichlet boundary conditions, Additive Allee effect on prey in the dynamics of a Gause predator-prey model with constant or proportional refuge on prey at low or high densities, Global bifurcation of coexistence states for a prey-predator model with prey-taxis/predator-taxis
Cites Work
- Unnamed Item
- Reaction-diffusion-advection models for the effects and evolution of dispersal
- On limit systems for some population models with cross-diffusion
- Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
- Coexistence states of a Holling type-II predator-prey system
- Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: strong interaction case
- \(S\)-shaped global bifurcation curve and Hopf bifurcation of positive solutions to a predator-prey model
- Steady states of models of microbial growth and competition with chemotaxis
- 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
- Nonlinear eigenvalues and global bifurcation application to the search of positive solutions for general Lotka-Volterra reaction diffusion systems with two species
- Coexistence theorem of steady states for nonlinear self-cross diffusion systems with competitive dynamics.
- Multiple coexistence states for a prey-predator system with cross-diffusion.
- Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion
- Elliptic partial differential equations of second order
- Effects of a degeneracy in the competition model. I: Classical and generalized steady-state solutions
- Coexistence states of a predator-prey model with cross-diffusion
- Unilateral global bifurcation for a class of quasilinear elliptic systems and applications
- Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion
- Diffusion, self-diffusion and cross-diffusion
- 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
- Bifurcation, perturbation of simple eigenvalues, and linearized stability
- Corrigendum to ``Coexistence states of a Holling type-II predator-prey system [J. Math. Anal. Appl. 369 (2) (2010) 555-563]
- On global bifurcation for a cross-diffusion predator-prey system with prey-taxis
- Bifurcation from simple eigenvalues
- Diffusive Logistic Equations with Indefinite Weights: Population Models in Disrupted Environments II
- Stable Coexistence States in the Volterra–Lotka Competition Model with Diffusion
- Linear Second Order Elliptic Operators
- Regularity and coexistence problems for strongly coupled elliptic systems