This research develops a mathematical model of a natural phenomenon, namely sea snails that can release toxins (allelopathy) so that non-toxic sea snails become afraid. In addition, toxic and non-toxic sea snails share biotic resources.
Mifta Kharisma Dewi +2 more
doaj +1 more source
Elastic‐Wave Propagation in Chiral Metamaterials: A Couple‐Stress Theory Perspective
The intrinsic chirality of chiral metamaterials renders an effective medium based on the classical continuum theory ineffective for predicting their acoustic activity. This limitation is addressed in the present study by employing augmented asymptotic homogenization to derive a couple‐stress‐based effective medium, enabling accurate predictions in the ...
Shahin Eskandari +5 more
wiley +1 more source
Control of coherence resonance in semiconductor superlattices
We study the effect of time-delayed feedback control and Gaussian white noise on the spatio-temporal charge dynamics in a semiconductor superlattice. The system is prepared in a regime where the deterministic dynamics is close to a global bifurcation ...
E. Schöll +6 more
core +1 more source
Ultralow‐Dimensionality Reduction for Identifying Critical Transitions by Spatial‐Temporal PCA
The proposed spatial‐temporal principal component analysis (stPCA) method analytically reduces high‐dimensional time‐series data to a single latent variable by transforming spatial information into temporal dynamics. By preserving the temporal properties of the original data, stPCA effectively identifies critical transitions and tipping points.
Pei Chen +6 more
wiley +1 more source
Bifurcation analysis of a discrete SIS model with bilinear incidence depending on new infection
A discrete SIS epidemic model with the bilinear incidence depending on the new infection is formulated and studied.The condition for the global stability of the disease free equilibrium is obtained.The existence of the endemic equilibrium and its ...
Hui Cao, Yicang Zhou, Zhien Ma
doaj +1 more source
Coulomb-actuated microbeams revisited: experimental and numerical modal decomposition of the saddle-node bifurcation. [PDF]
Melnikov A +7 more
europepmc +1 more source
Analysis of stationary points and their bifurcations in the ABC flow
Analytical expressions for coordinates of stationary points and conditions for their existence in the ABC flow are received. The type of the stationary points is shown analytically to be saddle-node.
Didov, A. A., Uleysky, M. Yu.
core +1 more source
Dynamics of nearly spherical vesicles in an external flow
We analytically derive an equation describing vesicle evolution in a fluid where some stationary flow is excited regarding that the vesicle shape is close to a sphere.
E. I. Kats +8 more
core +1 more source
Complex Dynamics in a Singular Delayed Bioeconomic Model with and without Stochastic Fluctuation
A singular delayed biological economic predator-prey system with and without stochastic fluctuation is proposed. The conditions of singularity induced bifurcation are gained, and a state feedback controller is designed to eliminate such bifurcation ...
Xinyou Meng, Qingling Zhang
doaj +1 more source
Bifurcation in a Leslie–Gower system with fear in predators and strong Allee effect in prey
In this paper, we consider a modified Leslie–Gower predator–prey model with Allee effect on prey and fear effect on predators. Results show complex dynamical behaviors in the model with these factors.
Ranchao Wu, Wenkai Xiong
doaj +1 more source

