Sentence examples for both spatial diffusion and from inspiring English sources

Defining unstructured contacts on the basis of commuting data rather than randomly choosing them in the local communities results in a faster epidemic, especially for lower values of the first generation index, in terms of both spatial diffusion and peak day.

Spatial diffusion and Coulomb losses are also taken into account.

Then the Hopf bifurcation induced by spatial diffusion and time delay is discussed, respectively.

In this paper, we have considered a ratio-dependent predator-prey system with spatial diffusion and time delay and have investigated the joint effects of spatial diffusion and time delay.

In the following, we shall explore the effect of spatial diffusion and time delay on the dynamic behaviors of system (1), respectively.

We hope that our work could be useful to study the effects of spatial diffusion and time delay on the population dynamics.

At present, lots of scholars have studied the epidemic models with spatial diffusion, and the traveling wave solutions play an important role in understanding the long-time asymptotic property of reaction-diffusion models [24 27].

We simplified the spatial diffusion and focused our study on amplitude filtering systems where the output reaches a maximum at intermediate input levels.

The effects of occasional long-distance trips are the speeding up of the spatial diffusion and the decreasing of the cumulative attack rate.

A hepatitis B virus (HBV) model with spatial diffusion and saturation response of the infection rate is investigated by Xu and Ma [ 8].

SPREAD takes advantage of multicore architectures to process large joint posterior distributions of phylogenies and their spatial diffusion and produces visualizations as compelling and interpretable statistical summaries for the different spatial projections.