Outbreak of Klebsiella pneumoniae ST11 Resistant To Ceftazidime-Avibactam Producing KPC-31 and the Novel Variant KPC-115 during COVID-19 Pandemic in Argentina. [PDF]
Nicola F+9 more
europepmc +1 more source
Small data scattering and soliton stability in $\dot{H}^{-\frac16}$ for the quartic KdV Equation [PDF]
In this note we prove scattering for perturbations of solitons in the scaling space appropriate for the quartic nonlinearity, namely $\dot{H}^{-\frac16}$. The article relies strongly on refined estimates for a KdV equation linearized at the soliton.
arxiv
In this paper, we study the existence of travelling wave solutions and the spreading speed for the solutions of an age-structured epidemic model with nonlocal diffusion.
Arnaud Ducrot, Hao Kang
doaj +1 more source
Travelling waves with continuous profile for hyperbolic Keller-Segel equation
This work describes a hyperbolic model for cell-cell repulsion with population dynamics. We consider the pressure produced by a population of cells to describe their motion.
Quentin Griette, Pierre Magal, Min Zhao
doaj +1 more source
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+3 more
doaj +1 more source
Generalized transition waves and their properties [PDF]
In this paper, we generalize the usual notions of waves, fronts and propagation speeds in a very general setting. These new notions, which cover all classical situations, involve uniform limits, with respect to the geodesic distance, to a family of hypersurfaces which are parametrized by time.
arxiv
Travelling wavefronts for the Belousov–Zhabotinsky system with non-local delayed interaction
This article offers an advanced and novel investigation into the intricate propagation dynamics of the Belousov–Zhabotinsky system with non-local delayed interaction, which exhibits dynamical transition structure from bistable to monostable.
Yuanxi Yue, Chunhua Ou
doaj +1 more source
Derivation and travelling wave analysis of phenotype-structured haptotaxis models of cancer invasion
We formulate haptotaxis models of cancer invasion wherein the infiltrating cancer cells can occupy a spectrum of states in phenotype space, ranging from ‘fully mesenchymal’ to ‘fully epithelial’. The more mesenchymal cells are those that display stronger
Tommaso Lorenzi+2 more
doaj +1 more source
Explicit upper and lower bounds for the traveling wave solutions of Fisher-Kolmogorov type equations [PDF]
It is well-known that the existence of traveling wave solutions for reaction-diffusion partial differential equations can be proved by showing the existence of certain heteroclinic orbits for related autonomous planar differential equations. We introduce a method for finding explicit upper and lower bounds of these heteroclinic orbits.
arxiv
Traveling waves of an FKPP-type model for self-organized growth. [PDF]
Kreten F.
europepmc +1 more source