Global behavior ofNcompeting species with strong diffusion: diffusion leads to exclusion
From MaRDI portal
Publication:2795470
DOI10.1080/00036811.2015.1004320zbMath1375.35567arXiv1407.5555OpenAlexW1980393921MaRDI QIDQ2795470
Sten Madec, Yvan Lagadeuc, Francois Castella
Publication date: 21 March 2016
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.5555
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40) Semilinear elliptic equations (35J61) Boundary value problems for second-order elliptic systems (35J57)
Related Items (1)
Cites Work
- A nonlinear boundary value problem arising from competition in the chemostat
- Two-time scales in spatially structured models of population dynamics: a semigroup approach
- Aggregation and emergence in systems of ordinary differential equations
- From behavioural to population level: Growth and competition
- Predator-prey models in heterogeneous environment: emergence of functional response
- Semigroups of linear operators and applications to partial differential equations
- Coexistence in the unstirred chemostat
- The evolution of slow dispersal rates: a reaction diffusion model
- General theory of competitive coexistence in spatially-varying environments.
- Global dynamics of the chemostat with different removal rates and variable yields
- Some results on integration of subdifferentials
- Coexistence phenomena and global bifurcation structure in a chemostat-like model with species-dependent diffusion rates
- SINGULARLY PERTURBED ELLIPTIC SYSTEM MODELING THE COMPETITIVE INTERACTIONS FOR A SINGLE RESOURCE
- On a System of Reaction-Diffusion Equations Arising from Competition in an Unstirred Chemostat
- Uniqueness and stability for coexistence solutions of the unstirred chemostat model
- Global Existence and Boundedness in Reaction-Diffusion Systems
- Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates
- Limiting Behavior for Competing Species
- Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
- Global Asymptotic Behavior of the Chemostat: General Response Functions and Different Removal Rates
- Competition in the gradostat: the global stability problem
- Global Asymptotic Behavior of a Chemostat Model with Discrete Delays
This page was built for publication: Global behavior ofNcompeting species with strong diffusion: diffusion leads to exclusion