Wave of Chaos and Pattern Formation in Spatial Predator-Prey Systems with Holling Type IV Predator Response
From MaRDI portal
Publication:2786675
DOI10.1051/mmnp:2008071zbMath1337.35080OpenAlexW2129801151WikidataQ115554664 ScholiaQ115554664MaRDI QIDQ2786675
No author found.
Publication date: 23 February 2016
Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/mmnp:2008071
Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
Related Items
OBSERVABILITY OF CHAOS AND CYCLES IN ECOLOGICAL SYSTEMS: LESSONS FROM PREDATOR–PREY MODELS, A PREDATOR–PREY INTERACTION MODEL WITH SELF- AND CROSS-DIFFUSION IN AQUATIC SYSTEMS, Bifurcation, chaos and pattern formation in a space- and time-discrete predator-prey system, Complex dynamics of sexually reproductive generalist predator and gestation delay in a food chain model: double Hopf-bifurcation to chaos, Wave phenomena and edge of chaos in a diffusive predator-prey system under Allee effect, Complex Dynamics of Wetland Ecosystem with Nonlinear Harvesting: Application to Chilika Lake in Odisha, India, Unnamed Item, Waves analysis and spatiotemporal pattern formation of an ecosystem model, Neimark-Sacker-Turing instability and pattern formation in a spatiotemporal discrete predator-prey system with Allee effect, Containment strategies of epidemic invasions, A new finding on pattern self-organization along the route to chaos, Spatiotemporal complexity of a discrete space-time predator-prey system with self- and cross-diffusion, Analysis and behavior control of a modified singular prey-predator model, Spatiotemporal pattern formation in a diffusive predator-prey system: An analytical approach
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Wave of chaos in a diffusive system: generating realistic patterns of patchiness in plankton-fish dynamics
- Predator-prey systems with group defence: The paradox of enrichment revisited
- The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model
- Wave of chaos: New mechanism of pattern formation in spatio-temporal population dynamics.
- A minimal model of pattern formation in a prey-predator system
- Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
- Spatiotemporal Complexity of Plankton and Fish Dynamics
- Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion
- The chemical basis of morphogenesis
- Diffusion-Driven Stability Analysis of A Prey-Predator System with Holling Type-IV Functional Response
- Ecological chaos in the wake of invasion.
- Spatially explicit ecological models: A spatial convolution approach
- Diffusive waves, dynamical stabilization and spatio-temporal chaos in a community of three competitive species