Results 51 to 60 of about 148 (125)

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

On the dynamics of a diffusive SEIRS epidemic model

European Journal of Applied Mathematics
This work investigates the dynamics of positive classical solutions to a diffusive susceptible-exposed-infected-recovered-susceptible epidemic model with a mass-action incidence mechanism in spatially heterogeneous environments. Under minimal assumptions
Keoni G. Castellano, Rachidi B. Salako, Shuwen Xue   +2 more
doaj   +1 more source

Dynamical behaviour of a logarithmically sensitive chemotaxis model under time-dependent boundary conditions

European Journal of Applied Mathematics
This article studies the dynamical behaviour of classical solutions of a hyperbolic system of balance laws, derived from a chemotaxis model with logarithmic sensitivity, with time-dependent boundary conditions. It is shown that under suitable assumptions
Padi Fuster Aguilera, Kun Zhao
doaj   +1 more source

Global Dynamics of a Diffusive Two-Strain Epidemic Model with Non-Monotone Incidence Rate. [PDF]

Iran J Sci Technol Trans A Sci, 2022
Khatua A, Pal D, Kar TK.
europepmc   +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

Dynamics and calculation of the basic reproduction number for a nonlocal dispersal epidemic model with air pollution. [PDF]

J Appl Math Comput, 2023
Zhou Q, Xu X, Zhang Q.
europepmc   +1 more source

Macroscopic limit of a Fokker-Planck model of swarming rigid bodies

European Journal of Applied Mathematics
We consider self-propelled rigid bodies interacting through local body-attitude alignment modelled by stochastic differential equations. We derive a hydrodynamic model of this system at large spatio-temporal scales and particle numbers in any dimension
Pierre Degond, Amic Frouvelle
doaj   +1 more source

Cahn–Hilliard equations with singular potential, reaction term and pure phase initial datum

European Journal of Applied Mathematics
We consider local and nonlocal Cahn–Hilliard equations with constant mobility and singular potentials including, e.g., the Flory–Huggins potential, subject to no-flux (or periodic) boundary conditions.
Maurizio Grasselli, Luca Scarpa, Andrea Signori   +2 more
doaj   +1 more source

The role of A β and Tau proteins in Alzheimer's disease: a mathematical model on graphs. [PDF]

J Math Biol, 2023
Bertsch M, Franchi B, Tesi MC, Tora V.
europepmc   +1 more source

Stochastic differential equation modelling of cancer cell migration and tissue invasion. [PDF]

J Math Biol, 2023
Katsaounis D, Chaplain MAJ, Sfakianakis N.   +2 more
europepmc   +1 more source