Results 1 to 10 of about 960,534 (132)

Hopf bifurcation in delayed nutrient-microorganism model with network structure

Journal of Biological Dynamics, 2022
In this paper, we introduce and deal with the delayed nutrient-microorganism model with a random network structure. By employing time delay τ as the main critical value of the Hopf bifurcation, we investigate the direction of the Hopf bifurcation of such
Mengxin Chen, Qianqian Zheng, Ranchao Wu, Liping Chen   +3 more
doaj   +1 more source

The generation mechanism of Turing-pattern in a Tree-grass competition model with cross diffusion and time delay

Mathematical Biosciences and Engineering, 2022
In this paper, we study the general mechanism of Turing-pattern in a tree-grass competition model with cross diffusion and time delay. The properties of four equilibrium points, the existence of Hopf bifurcation and the sufficient conditions for Turing ...
Rina Su, Chunrui Zhang
doaj   +1 more source

Scale dependence of near-inertial wave’s concentration in anticyclones

Frontiers in Marine Science, 2023
Near-inertial waves (NIWs), pervasive and dominating the mixing process in the upper ocean, are observed to concentrate in anticyclones. Based on the NIW amplitude equation derived by Young & Ben Jelloul, which captures dispersion and effects of ...
Furu Zhang, Jin-Han Xie, Jin-Han Xie
doaj   +1 more source

Stabilization and pattern formation in chemotaxis models with acceleration and logistic source

Mathematical Biosciences and Engineering, 2023
We consider the following chemotaxis-growth system with an acceleration assumption, $ \begin{align*} \begin{cases} u_t= \Delta u -\nabla \cdot\left(u \mathbf{w} \right)+\gamma\left({u-u^\alpha}\right), & x\in\Omega,\ t>0,\\ v_t=\Delta v- v+u ...
Chunlai Mu, Weirun Tao
doaj   +1 more source

Cross-Diffusion-Driven Instability in a Predator-Prey System with Fear and Group Defense

Mathematics, 2020
In this paper, a reaction-diffusion prey-predator system including the fear effect of predator on prey population and group defense has been considered.
Maria Francesca Carfora, Isabella Torcicollo   +1 more
doaj   +1 more source

Galloping Equation and Primary Resonance Investigation of Overhead Transmission Lines

Zhongguo dianli, 2021
The galloping of overhead transmission lines is one of the main causes for line damages. How to accurately describe the galloping of transmission lines is a worthy topic.
Guangyun MIN, Xiaohui LIU, Ceshi SUN, Mengqi CAI   +3 more
doaj   +1 more source

Mixed Convection in a Square Cavity Filled with Porous Medium with Bottom Wall Periodic Boundary Condition

Journal of Engineering, 2023
Transient mixed convection heat transfer in a confined porous medium heated at periodic sinusoidal heat flux is investigated numerically in the present paper.
Ihsan Y. Hussein, Luma F. Ali   +1 more
doaj   +1 more source

Amplitude-equation formalism for four-wave-mixing geometry with transmission gratings [PDF]

, 1997
An amplitude equation is derived for a four-wave-mixing geometry with nearly counterpropagating, mutually incoherent, nondiffracting pump beams, spatially overlapping in a photorefractive material with a nonlocal response.
Cross, M. C., Engin, D., Yariv, A.
core   +1 more source

Nonlinear graphene plasmonics: amplitude equation [PDF]

, 2013
Using perturbation expansion of Maxwell equations, the amplitude equation is derived for nonlinear TM and TE surface plasmon waves supported by graphene.
Gorbach, A. V.
core   +2 more sources

Cross-diffusion-driven Turing instability and weakly nonlinear analysis of Turing patterns in a uni-directional consumer-resource system

Boundary Value Problems, 2017
Spatiotemporal patterns driven by cross-diffusion of a uni-directional consumer-resource (C-R) system with Holling-II type functional response are investigated in this paper.
Renji Han, Binxiang Dai
doaj   +1 more source