Spatiotemporal pattern in a self- and cross-diffusive predation model with the Allee effect
From MaRDI portal
Publication:2312256
DOI10.1155/2013/681641zbMath1417.92149OpenAlexW2084007132WikidataQ58921723 ScholiaQ58921723MaRDI QIDQ2312256
Publication date: 5 July 2019
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/681641
Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (5)
Mathematical and computational studies of fractional reaction-diffusion system modelling predator-prey interactions ⋮ Dynamics of a diffusion reaction prey-predator model with delay in prey: effects of delay and spatial components ⋮ Mathematical study of multispecies dynamics modeling predator-prey spatial interactions ⋮ Dynamical analysis of a stochastic predator-prey model with an Allee effect ⋮ Spatiotemporal complexity of a three-species ratio-dependent food chain model
Uses Software
Cites Work
- Allee-effect-induced instability in a reaction-diffusion predator-prey model
- Dynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in prey
- Allee effect in a discrete-time predator-prey system
- The impact of Allee effect on a predator-prey system with Holling type II functional response
- Multiple stability and uniqueness of the limit cycle in a Gause-type predator-prey model considering the Allee effect on prey
- Predator-prey system with strong Allee effect in prey
- Complex patterns in a predator-prey model with self and cross-diffusion
- Chaos in periodically forced Holling type II predator-prey system with impulsive perturbations
- Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
- The effect of the Holling type II functional response on apparent competition
- How predation can slow, stop or reverse a prey invasion
- Limit cycle and numerical similations for small and large delays in a predator-prey model with modified Leslie-Gower and Holling-type II schemes
- Effects of convective and dispersive interactions on the stability of two species
- Diffusion vs cross-diffusion: An elliptic approach
- Stability of steady-state solutions to a prey--predator system with cross-diffusion.
- Multiple coexistence states for a prey-predator system with cross-diffusion.
- Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
- Diffusion and ecological problems: Modern perspectives.
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Periodic solutions for a predator-prey model with Holling-type functional response and time delays
- Diffusion, self-diffusion and cross-diffusion
- Pattern formation in a cross-diffusive Holling-Tanner model
- Spatiotemporal complexity of patchy invasion in a predator-prey system with the Allee effect.
- Extinction and permanence of one-prey multi-predators of Holling type II function response system with impulsive biological control
- Allee dynamics and the spread of invading organisms
- Complex dynamics of a diffusive epidemic model with strong Allee effect
- Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
- Persistence in reaction diffusion models with weak Allee effect
- The stability of predator\,-\,prey systems subject to the Allee effects
- DYNAMICS OF A DIFFUSIVE PREDATOR–PREY MODEL WITH ADDITIVE ALLEE EFFECT
- Spatiotemporal Complexity of Plankton and Fish Dynamics
- ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION
- SPATIAL PATTERN IN A PREDATOR-PREY SYSTEM WITH BOTH SELF- AND CROSS-DIFFUSION
- PATTERN FORMATION IN NOISY SELF-REPLICATING SPOTS
- Pursuit-evasion predator-prey waves in two spatial dimensions
- Speeds of invasion in a model with strong or weak Allee effects
This page was built for publication: Spatiotemporal pattern in a self- and cross-diffusive predation model with the Allee effect
