Analysis on steady states of a competition system with nonlinear diffusion terms
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Publication:2040627
DOI10.1007/s10440-021-00393-7zbMath1479.35371OpenAlexW3126468641MaRDI QIDQ2040627
Hong-Chan Zheng, Jing-jing Wang
Publication date: 14 July 2021
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-021-00393-7
Control/observation systems governed by partial differential equations (93C20) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Boundary value problems for second-order elliptic systems (35J57)
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Cites Work
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- Cross-diffusion driven instability in a predator-prey system with cross-diffusion
- On a nonlocal reaction-diffusion-advection system modelling the growth of phytoplankton with cell quota structure
- Nonexistence of nonconstant steady-state solutions in a triangular cross-diffusion model
- Dynamics of Lotka-Volterra competition reaction-diffusion systems with degenerate diffusion
- Diffusion, cross-diffusion and competitive interaction
- Long-time behavior and Turing instability induced by cross-diffusion in a three species food chain model with a Holling type-II functional response
- Erratum to: Stability of diffusion coefficients in an inverse problem for the Lotka-Volterra competition system
- Weak and classical solutions to predator-prey system with cross-diffusion
- Modeling and analysis of a delayed competitive system with impulsive perturbations
- 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.
- Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion
- Dynamics of Lotka-Volterra competition systems with large interaction
- Effect of cross-diffusion in the diffusion prey-predator model with a protection zone. II
- Minimal-speed selection of traveling waves to the Lotka-Volterra competition model
- Analysis on dynamics of a population model with predator-prey-dependent functional response
- Positive solutions for Lotka-Volterra competition system with diffusion.
- The operating diagram of a model of two competitors in a chemostat with an external inhibitor
- Cross-diffusion induced Turing instability for a competition model with saturation effect
- Global existence and asymptotic stability for a class of coupled reaction-diffusion systems on growing domains
- Positive solutions of a Lotka-Volterra competition model with cross-diffusion
- Effect of cross-diffusion on the stationary problem of a prey-predator model with a protection zone
- Effects of the self- and cross-diffusion on positive steady states for a generalized predator-prey system
- Stability of Steady States for Prey–Predator Diffusion Equations with Homogeneous Dirichlet Conditions
- Coexistence Theorems of Steady States for Predator-Prey Interacting Systems
- On positive solutions of general nonlinear elliptic symbiotic interacting systems
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- Bifurcation and monotonicity in competition reaction-diffusion systems
- On the Global Existence of Solutions of a Reaction-Diffusion Equation with Exponential Nonlinearity
- Approaching the Ideal Free Distribution in Two-Species Competition Models with Fitness-Dependent Dispersal
