Pattern formation in a cross-diffusive Holling-Tanner model
From MaRDI portal
Publication:1936037
DOI10.1155/2012/828219zbMath1257.92012OpenAlexW2006132755WikidataQ58700781 ScholiaQ58700781MaRDI QIDQ1936037
Publication date: 21 February 2013
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/828219
Bifurcation theory for ordinary differential equations (34C23) Developmental biology, pattern formation (92C15) Ecology (92D40)
Related Items (9)
Turing Instability of a Modified Reaction–Diffusion Holling–Tanner Model Over a Random Network ⋮ Cross-diffusion induced spatiotemporal patterns in a predator-prey model with herd behavior ⋮ Spatial dynamics of a Leslie-Gower type predator-prey model with interval parameters ⋮ Pattern formation in a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth ⋮ Pattern formation in a bacterial colony model ⋮ Nonlinear dynamics of a nutrient-plankton model ⋮ Turing patterns in a diffusive Holling-Tanner predator-prey model with an alternative food source for the predator ⋮ Pattern formation in diffusive predator-prey systems with predator-taxis and prey-taxis ⋮ Spatiotemporal pattern in a self- and cross-diffusive predation model with the Allee effect
Uses Software
Cites Work
- Unnamed Item
- Interspecific influence on mobility and Turing instability
- Diffusion, cross-diffusion and competitive interaction
- On a predator-prey system with cross-diffusion representing the tendency of prey to keep away from its predators
- Spatiotemporal pattern formation in a diffusive predator-prey system: An analytical approach
- Effects of convective and dispersive interactions on the stability of two species
- Effect of cross-diffusion on pattern formation - a nonlinear analysis
- Multiple coexistence states for a prey-predator system with cross-diffusion.
- Diffusion and ecological problems: Modern perspectives.
- Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion
- Strategy and stationary pattern in a three-species predator--prey model
- Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
- On a predator-prey system with cross diffusion representing the tendency of predators in the presence of prey species
- Analysis of a parabolic cross-diffusion population model without self-diffusion
- Spatiotemporal Dynamics in a Spatial Plankton System
- Pattern Formation
- Dynamics of a Predator-Prey Model
- The Bifurcation Structure of the Holling--Tanner Model for Predator-Prey Interactions Using Two-Timing
- Spatial Ecology via Reaction‐Diffusion Equations
- The chemical basis of morphogenesis
- PATTERN FORMATION IN NOISY SELF-REPLICATING SPOTS
- Simple mathematical models with very complicated dynamics
- Pursuit-evasion predator-prey waves in two spatial dimensions
This page was built for publication: Pattern formation in a cross-diffusive Holling-Tanner model
