Results 71 to 80 of about 213 (131)

Cognitive Familiarity‐Driven Rumor Diffusion: A Dynamic Compartmental Model With Stratified Susceptibility

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
Rumor propagation significantly impacts both individual well‐being and societal stability, with various factors influencing its spread. While existing research has primarily focused on the role of interpersonal familiarity in rumor diffusion, this study introduces a different perspective: an individual’s familiarity with the subject matter itself plays
Weijun Yan, Yuhan Hu, Mengxin Chen
wiley   +1 more source

Spatiotemporal dynamics of a diffusive nutrient-phytoplankton model with delayed nutrient recycling

Nonlinear Analysis
In 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
doaj   +1 more source

Bifurcation and Stability of a Spatiotemporal Prey–Predator Model: A Computational Perspective

Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.
In this research work, a ratio‐dependent prey–predator system is investigated for bifurcation and stability analysis. The unique existence of the solution, boundedness, and positivity of the temporal model is derived. Stability analysis of positive steady states is analyzed.
Muhammad Waqas Yasin, Ahmad Shafee, Muhammad Zafarullah Baber, Baboucarr Ceesay, Pramita Mishra   +4 more
wiley   +1 more source

Turing pattern dynamics in a fractional-diffusion oregonator model under PD control

Nonlinear Analysis
In 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, Yi Yao, Min Xiao, Zhen Wang, Leszek Rutkowski   +4 more
doaj   +1 more source

The evasion of tipping: Pattern formation near a Turing-fold bifurcation

Physica D: Nonlinear Phenomena
Model 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

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
doaj   +1 more source

Artificial Intelligence in the Aftermath of Algorithmic Modernity: Some Key Contributions and Open Issues in Japanese Sociology

Japanese Journal of Sociology, Volume 35, Issue 1, January/December 2026.
Anthony Elliott
wiley   +1 more source

Pattern Formation in a Diffusive Ratio-Dependent Holling-Tanner Predator-Prey Model with Smith Growth

Discrete Dynamics in Nature and Society, 2013
The spatiotemporal dynamics of a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth subject to zero-flux boundary condition are investigated analytically and numerically.
Bo Yang
doaj   +1 more source

A diffusive predator-prey system with prey refuge and gestation delay

Advances in Difference Equations, 2017
The dynamics of a diffusive predator-prey system with prey refuge and gestation delay is investigated in this paper. For a non-delay system, global stability, Turing instability and Hopf bifurcation are studied.
Ruizhi Yang, Haoyu Ren, Xue Cheng
doaj   +1 more source

Pattern Formation in a Semi-Ratio-Dependent Predator-Prey System with Diffusion

Discrete Dynamics in Nature and Society, 2013
We investigate spatiotemporal dynamics of a semi-ratio-dependent predator-prey system with reaction-diffusion and zero-flux boundary. We obtain the conditions for Hopf, Turing, and wave bifurcations of the system in a spatial domain by making use of the ...
Hunki Baek, Dong Ick Jung, Zhi-wen Wang
doaj   +1 more source