Asymptotic behavior of solutions to a class of diffusive predator-prey systems
From MaRDI portal
Publication:1670269
DOI10.1007/s00028-017-0418-yzbMath1394.35221OpenAlexW2771000493WikidataQ115609438 ScholiaQ115609438MaRDI QIDQ1670269
Publication date: 5 September 2018
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00028-017-0418-y
Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45)
Related Items (7)
Persistence of preys in a diffusive three species predator-prey system with a pair of strong-weak competing preys ⋮ Stabilization to a positive equilibrium for some reaction-diffusion systems ⋮ Diffusion modeling of tumor-CD\(4^+\)-cytokine interactions with treatments: asymptotic behavior and stationary patterns ⋮ Asymptotic spreading speeds for a predator–prey system with two predators and one prey ⋮ Analysis of a mathematical model of immune response to fungal infection ⋮ Global $L^\infty$-bounds and Long-time Behavior of a Diffusive Epidemic System in A Heterogeneous Environment ⋮ Traveling Wave Solutions for Some Three-Species Predator-Prey Systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence to generalized transition waves for some Holling-Tanner prey-predator reaction-diffusion system
- Compact sets in the space \(L^ p(0,T;B)\)
- Multidimensional nonlinear diffusion arising in population genetics
- A diffusive predator-prey model in heterogeneous environment
- Persistence in Infinite-Dimensional Systems
- Modelling Biological Populations in Space and Time
- The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
- Global Stability for a Class of Predator-Prey Systems
- Generalizations and Properties of the Principal Eigenvalue of Elliptic Operators in Unbounded Domains
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
- A harnack inequality for parabolic differential equations
This page was built for publication: Asymptotic behavior of solutions to a class of diffusive predator-prey systems