Positive solutions of some parabolic system with cross-diffusion and nonlocal initial conditions
DOI10.1007/s00030-011-0124-3zbMath1252.35043arXiv1011.3334OpenAlexW2053068058MaRDI QIDQ430761
Publication date: 26 June 2012
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.3334
Fredholm operatorglobal bifurcationmaximal regularityage structurepredator-prey system with spatial dispersion
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Positive linear operators and order-bounded operators (47B65) 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bifurcation of positive equilibria in nonlinear structured population models with varying mortality rates
- On nonlocal parabolic steady-state equations of cooperative or competing systems
- Large time behavior in a nonlinear age-dependent population dynamics problem with spatial diffusion
- On positive solutions of some pairs of differential equations. II
- Remarks on some Lotka-Volterra type cross-diffusion models
- Nonlinear age-dependent diffusive equations: A bifurcation approach
- Global bifurcation of positive equilibria in nonlinear population models
- A Lotka-Volterra symbiotic model with cross-diffusion
- On global bifurcation for quasilinear elliptic systems on bounded domains
- Degree theory for \(C^1\) Fredholm mappings of index 0
- 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 symbiotic Lotka-Volterra model with diffusion and transport effects
- Age-dependent equations with non-linear diffusion
- An overview of semi-continuity results on the spectral radius and positivity
- Some global results for nonlinear eigenvalue problems
- On Positive Solutions of Some Pairs of Differential Equations
- On positive solutions of some system of reaction-diffusion equations with nonlocal initial conditions
- Bifurcation of steady-state solutions in predator-prey and competition systems
- Positive Equilibrium Solutions for Age- and Spatially-Structured Population Models
- Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
- On the existence and uniqueness of positive steady states in the volterra-lotka ecological models with diffusion
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- Necessary and sufficient condition for the existence of positive solutions of certain cooperative system
- Differentiable norms in Banach spaces
This page was built for publication: Positive solutions of some parabolic system with cross-diffusion and nonlocal initial conditions
