Traveling waves for a lattice dynamical system arising in a diffusive endemic model
نویسندگان
چکیده
This paper is concerned with a lattice dynamical system modeling the evolution of susceptible and infective individuals at discrete niches. We prove the existence of traveling waves connecting the disease-free state to non-trivial leftover concentrations. We also characterize the minimal speed of traveling waves and we prove the non-existence of waves with smaller speeds.
منابع مشابه
Traveling Waves in
For a class of 1-dimensional lattice dynamical systems we prove the existence of periodic traveling waves with prescribed speed and arbitrary period. Then we study asymptotic behaviour of such waves for big values of period and show that they converge, in an appropriate topology, to a solitary traveling wave.
متن کاملTraveling Waves in Lattice Dynamical Systems
In this paper, we study the existence and stability of traveling waves in lattice dynamical systems, in particular, in lattice ordinary di erential equations (lattice ODE's) and in coupled map lattices (CML's). Instead of employing the moving coordinate approach as for partial di erential equations, we construct a local coordinate system around a traveling wave solution of a lattice ODE, analog...
متن کاملTraveling Waves on Lattice Dynamical Systems
We consider traveling wave solutions for nonlinear lattices of particles with nearest neighbour interaction. By using variational methods we prove the existence of monotone traveling waves for nite, periodic lattices and show that in the limit, as the period goes to innnity, these waves converge to corresponding solutions of the innnite lattice.
متن کاملCoarse-grained computation of traveling waves of lattice Boltzmann models with Newton–Krylov solvers
For many complex dynamical systems, a separation of scales prevails between the (microscopic) level of description of the available model, and the (macroscopic) level at which one would like to observe and analyze the system. For this type of problems, an “equation-free” framework has recently been proposed. Using appropriately initialized microscopic simulations, one can build a coarse-grained...
متن کاملCoarse-grained computation of traveling waves of lattice Boltzmann models with Newton–Krylov methods
For many complex dynamical systems, a separation of scales prevails between the (microscopic) level of description of the available model, and the (macroscopic) level at which one would like to observe and analyze the system. For this type of problems, an “equation-free” framework has recently been proposed. Using appropriately initialized microscopic simulations, one can build a coarsegrained ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2017