Results 81 to 90 of about 116,098 (200)
Spatial Complexity of a Predator-Prey Model with Holling-Type Response
Abstract and Applied Analysis, 2014 We focus on a spatially extended Holling-type IV predator-prey model that contains some important factors, such as noise (random fluctuations), external periodic forcing, and diffusion processes.
Lei Zhang, Zhibin Li
doaj +1 more source
Vegetation patterns pinpoint the least resilient dryland sites
Methods in Ecology and Evolution, Volume 17, Issue 1, Page 172-187, January 2026.Abstract Resource‐limited ecosystems, such as drylands, can exhibit self‐organized spatial patterns. Theory suggests that changes in these patterns can inform about the ecosystem degradation level. While the current theory is expected to work well when following a given site in time, we still lack ways of comparing different field sites using static ...
Benoît Pichon +3 more
wiley +1 more source
Pattern formation and travelling waves in reaction-diffusion equations [PDF]
This thesis is about pattern formation in reaction - diffusion equations, particularly Turing patterns and travelling waves. In chapter one we concentrate on Turing patterns.
Fullwood, Timothy Brent
core
Spatiotemporal dynamics of a diffusive nutrient-phytoplankton model with delayed nutrient recycling
Nonlinear AnalysisIn this paper, we investigate the spatiotemporal dynamics of a diffusive nutrient-phytoplankton model with delayed nutrient recycling. We first study the stability of positive equilibrium and Turing instability induced by diffusion.
Yun Yang, Yanfei Du
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Bifurcation Analysis and Qualitative Dynamics of the Time‐Delayed Holling–Tanner Prey‐Predator Model
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.In this study, we work on a Holling–Tanner prey‐predator (HTPP) model by incorporating the impact of predator cannibalism and later introducing a delay in prey growth. We first examine its behavior without delay: we identify equilibrium points, describe their stability, and explain when the system remains stable or goes into oscillation.
Muhammad Waqas Yasin +6 more
wiley +1 more source
Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation [PDF]
, 2006 The saddle-node Hopf bifurcation (SNH) is a generic codimension-two bifurcation of equilibria of vector fields in dimension at least three. It has been identified as an organizing centre in numerous vector field models arising in applications.
Oldeman, BE +3 more
core +1 more source
First, Scale Up to the Robotic Turing Test, Then Worry About Feeling
, 2007 Consciousness is feeling, and the problem of consciousness is the problem of explaining how and why some of the functions underlying some of our performance capacities are felt rather than just “functed.” But unless we are prepared to assign to feeling a
Peter Scherzer +3 more
core +2 more sources
Turing pattern dynamics in a fractional-diffusion oregonator model under PD control
Nonlinear AnalysisIn this paper, fractional-order diffusion and proportional-derivative (PD) control are introduced in oregonator model, and the Turing pattern dynamics is investigated for the first time.
Hongliang Li +4 more
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Amplitude equation for a diffusion-reaction system: The reversible Sel'kov model
AIP Advances, 2012 For a model glycolytic diffusion-reaction system, an amplitude equation has been derived in the framework of a weakly nonlinear theory. The linear stability analysis of this amplitude equation interprets the structural transitions and stability of ...
A. K. Dutt
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The evasion of tipping: Pattern formation near a Turing-fold bifurcation
Physica D: Nonlinear PhenomenaModel studies indicate that many climate subsystems, especially ecosystems, may be vulnerable to 'tipping': a 'catastrophic process' in which a system, driven by gradually changing external factors, abruptly transitions (or 'collapses') from a preferred state to a less desirable one.
Staal, Dock, Doelman, Arjen
openaire +2 more sources