Multiple positive steady states of a diffusive predator‐prey model in spatially heterogeneous environments
From MaRDI portal
Publication:6057881
DOI10.1002/mana.201900033zbMath1523.35165OpenAlexW3122009187WikidataQ115612428 ScholiaQ115612428MaRDI QIDQ6057881
No author found.
Publication date: 5 October 2023
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.201900033
Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary value problems for second-order elliptic systems (35J57)
Related Items
A Diffusive Predator-Prey Model with Spatially Heterogeneous Carrying Capacity ⋮ The effects of dispersal and spatial heterogeneity on the dynamics of a predator-prey model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. II
- Reaction-diffusion-advection models for the effects and evolution of dispersal
- Local dynamics of a diffusive predator-prey model in spatially heterogeneous environment
- Existence of positive solutions for a prey-predator model with refuge and diffusion
- The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system I: Heterogeneity vs. homogeneity
- On the dependence of population size upon random dispersal rate
- The effect of toxins on the plasmid-bearing and plasmid-free model in the unstirred chemostat
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- Positive solutions of a competition model for two resources in the unstirred chemostat
- The coexistence states of a predator-prey model with nonmonotonic functional response and diffusion
- The evolution of slow dispersal rates: a reaction diffusion model
- On the fixed point index and multiple steady-state solutions of reaction- diffusion systems
- Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. III
- Positive steady states of a diffusive predator-prey system with predator cannibalism
- Dynamics of a diffusive competition model in spatially heterogeneous environment
- On the indices of fixed points of mappings in cones and applications
- A diffusive predator-prey model in heterogeneous environment
- On the effects of migration and spatial heterogeneity on single and multiple species
- Global Dynamics of the Lotka-Volterra Competition-Diffusion System: Diffusion and Spatial Heterogeneity I
- On Positive Solutions of Some Pairs of Differential Equations
- Allee effect and bistability in a spatially heterogeneous predator-prey model
- Diffusive logistic equations with indefinite weights: population models in disrupted environments
- Positive solutions for a three-species competition system with diffusion—I. General existence results
- Spatial Ecology via Reaction‐Diffusion Equations
- Bifurcation analysis of a diffusive predator-prey model in spatially heterogeneous environment
- Uniqueness and Complete Dynamics in Heterogeneous Competition-Diffusion Systems
- Crowding effects on coexistence solutions in the unstirred chemostat
- The Effect of Inhibitor on the Plasmid‐Bearing and Plasmid‐Free Model in the Unstirred Chemostat