Results 21 to 30 of about 60 (60)

Dynamics in a predator-prey model with predation-driven Allee effect and memory effect

Open Mathematics
In this article, a diffusive predator-prey model with memory effect and predation-driven Allee effect is considered. Through eigenvalue analysis, the local asymptotic stability of positive constant steady-state solutions is analyzed, and it is found that
Zhang Huiwen, Jin Dan
doaj   +1 more source

A diffusive plant-sulphide model: spatio-temporal dynamics contrast between discrete and distributed delay

European Journal of Applied Mathematics
This paper studies the spatio-temporal dynamics of a diffusive plant-sulphide model with toxicity delay. More specifically, the effects of discrete delay and distributed delay on the dynamics are explored, respectively.
Yonghui Xia, Jianglong Xiao, Jianshe Yu
doaj   +1 more source

Effects of anisotropic diffusion in a two-dimensional unstirred chemostat

Advanced Nonlinear Studies
We investigate an unstirred chemostat model in which two species compete in a two-dimensional environment. The populations are assumed to disperse anisotropically, with distinct probabilities assigned to horizontal and vertical movements, which are ...
Yu Hongqiang, Wu Jianhua
doaj   +1 more source

Slow passage through the Busse balloon – predicting steps on the Eckhaus staircase

European Journal of Applied Mathematics
Motivated by the impact of worsening climate conditions on vegetation patches, we study dynamic instabilities in an idealised Ginzburg–Landau model. Our main results predict time instances of sudden drops in wavenumber and the resulting target states ...
Anna Asch, Montie Avery, Anthony Cortez, Arnd Scheel   +3 more
doaj   +1 more source

Solutions of stationary McKean–Vlasov equation on a high-dimensional sphere and other Riemannian manifolds

Advances in Nonlinear Analysis
We study stationary solutions of McKean–Vlasov equation on a high-dimensional sphere and other compact Riemannian manifolds. We extend the equivalence of the energetic problem formulation to the manifold setting and characterize critical points of the ...
Shalova Anna, Schlichting André
doaj   +1 more source

The evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 1. The Cauchy problem on the real line

European Journal of Applied Mathematics
We study the Cauchy problem on the real line for the nonlocal Fisher-KPP equation in one spatial dimension, \begin{equation*} u_t = D u_{xx} + u(1-\phi *u), \end{equation*} where $\phi *u$ is a spatial convolution with the top hat kernel,
David John Needham, John Billingham, Nikolaos Michael Ladas, John Meyer   +3 more
doaj   +1 more source

Essential Instability of Pulses, and Bifurcations to Modulated Travelling Waves [PDF]

Reaction-diffusion systems on the real line are considered. Localized travelling waves become unstable when the essential spectrum of the linearization about them crosses the imaginary axis.
Björn Sandstede, Arnd Scheel
core  

Bifurcation to Spiral Waves in Reaction-Diffusion Systems [PDF]

For a large class of reaction-diffusion systems on the plane, we show rigorously that typically m-armed spiral waves bifurcate from a homogeneous equilibrium when the latter undergoes a Hopf bifurcation.
Arnd Scheel
core  

Dynamical properties of single species stage structured model with Michaelis-Menten type harvesting on adult population and linear harvesting on juvenile population. [PDF]

Heliyon, 2023
Akter S, Islam MS, Hossain T.
europepmc   +1 more source

Bifurcations and Dynamics of Spiral Waves [PDF]

Spiral waves have been observed in several chemical systems, for instance, in the Belousov-Zhabotinsky reaction and in the catalysis on platinum surfaces. Seemingly key to the dynamics of spiral waves is the Euclidean symmetry group SE(N ).
Björn Sandstede, Arnd Scheel, Claudia Wulff   +2 more
core