Lotka--Volterra Competition Model on Graphs
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Publication:4961117
DOI10.1137/19M1276285zbMath1437.92103OpenAlexW3015851575MaRDI QIDQ4961117
Publication date: 21 April 2020
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/19m1276285
Population dynamics (general) (92D25) Ecology (92D40) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
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Cites Work
- Unnamed Item
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- A maximum principle for diffusive Lotka-Volterra systems of two competing species
- Navier-Stokes equations on weighted graphs
- Wave propagation for a two-component lattice dynamical system arising in strong competition models
- Population persistence in Cayley trees
- Global-stability problem for coupled systems of differential equations on networks
- Persistence and extinction in Lotka-Volterra reaction-diffusion equations
- Persistence, extinction, and critical patch number for island populations
- Diffusion-mediated persistence in two-species competition Lotka-Volterra model
- Instability of non-constant equilibrium solutions of a system of competition-diffusion equations
- Global stability in two species interactions
- Global stability in Lotka-Volterra systems with diffusion
- Multistability in networks of weakly coupled bistable units
- Mathematical biology. Vol. 1: An introduction.
- Effects of diffusion on total biomass in simple metacommunities
- A new condition for blow-up solutions to discrete semilinear heat equations on networks
- Remarks on Li-Yau inequality on graphs
- A weak comparison principle for reaction-diffusion systems
- Asymptotic behaviour of solutions of the diffusive Lotka-Volterra equations
- Permanence and extinction for dispersal population systems
- Exponential number of stationary solutions for Nagumo equations on graphs
- A complete characterization of extinction versus positivity of solutions to a parabolic problem of \(p\)-Laplacian type in graphs
- Sign-changing diagonal perturbations of Laplacian matrices of graphs
- Perturbations of nonlinear systems of differential equations. II
- Global asymptotic stability for a class of many-variable volterra prey-predator systems
- Generalized Gradients and Applications
- Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
- Mixing Problems with Many Tanks
- Convex Bodies The Brunn-MinkowskiTheory
- Towards a theory for diffusive coupling functions allowing persistent synchronization
- Networks
- Graphs and matrices