Results 61 to 70 of about 424 (94)

Transition Fronts in Time Heterogeneous and Random Media of Ignition Type [PDF]

, 2015
The current paper is devoted to the investigation of wave propagation phenomenon in reaction-diffusion equations with ignition type nonlinearity in time heterogeneous and random media.
Shen, Wenxian, Shen, Zhongwei
core  

The speed of invasion in an advancing population. [PDF]

J Math Biol, 2023
Bovier A, Hartung L.
europepmc   +1 more source

Travelling wave solutions and spreading speeds for a scalar age-structured equation with nonlocal diffusion

European Journal of Applied Mathematics
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

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]

Microbiol Spectr, 2022
Nicola F, Cejas D, González-Espinosa F, Relloso S, Herrera F, Bonvehí P, Smayevsky J, Figueroa-Espinosa R, Gutkind G, Radice M.   +9 more
europepmc   +1 more source

Travelling waves with continuous profile for hyperbolic Keller-Segel equation

European Journal of Applied Mathematics
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

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

Propagation dynamics of time-dependent reaction-diffusion equations under climate change in an infinite cylinder

European Journal of Applied Mathematics
In this paper, we consider a reaction-diffusion equation that models the time-almost periodic response to climate change within a straight, infinite cylindrical domain. The shifting edge of the habitat is characterised by a time-almost periodic function,
Xiongxiong Bao, Dun Zhou
doaj   +1 more source

Travelling wavefronts for the Belousov–Zhabotinsky system with non-local delayed interaction

European Journal of Applied Mathematics
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

European Journal of Applied Mathematics
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, Fiona R. Macfarlane, Kevin J. Painter   +2 more
doaj   +1 more source

Traveling waves of an FKPP-type model for self-organized growth. [PDF]

J Math Biol, 2022
Kreten F.
europepmc   +1 more source