Characterizing the Effects of Self- and Cross-Diffusion on Stationary Patterns of a Predator–Prey System
DOI10.1142/S0218127420500418zbMath1441.35035OpenAlexW2998079175WikidataQ115523602 ScholiaQ115523602MaRDI QIDQ5221683
Anotida Madzvamuse, Jia-Fang Zhang, Hong-Bo Shi
Publication date: 3 April 2020
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127420500418
Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)
Cites Work
- Unnamed Item
- Cross-diffusion driven instability in a predator-prey system with cross-diffusion
- Positive steady states of a diffusive predator-prey system with modified Holling-Tanner functional response
- Global solutions to a class of multi-species reaction-diffusion systems with cross-diffusions arising in population dynamics
- Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees
- Large amplitude stationary solutions to a chemotaxis system
- Patterns induced by super cross-diffusion in a predator-prey system with Michaelis-Menten type harvesting
- Stability of the virus dynamics model with Beddington-DeAngelis functional response and delays
- Diffusion, self-diffusion and cross-diffusion
- Stationary patterns of strongly coupled prey--predator models
- Stationary patterns for a prey-predator model with prey-dependent and ratio-dependent functional responses and diffusion
- A predator-prey model with Ivlev's functional response
- Spatial patterns of a predator-prey model with cross diffusion
- Turing-Hopf bifurcations in a predator-prey model with herd behavior, quadratic mortality and prey-taxis
- Cross-diffusion-driven instability for reaction-diffusion systems: analysis and simulations
- Study of cross-diffusion induced Turing patterns in a ratio-dependent prey-predator model via amplitude equations
- Dynamics and pattern formation in homogeneous diffusive predator-prey systems with predator interference or foraging facilitation
- Instability induced by cross-diffusion in reaction-diffusion systems
- The properties of a stochastic model for the predator-prey type of interaction between two species
- Positive steady states of the Holling–Tanner prey–predator model with diffusion
- Turing patterns in the Lengyel-Epstein system for the CIMA reaction
- Periodic solutions in a delayed predator-prey model with nonmonotonic functional response
- On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
This page was built for publication: Characterizing the Effects of Self- and Cross-Diffusion on Stationary Patterns of a Predator–Prey System
