In this paper, we study the propagation dynamics of a time-periodic predator-prey system
with nonlocal dispersal. We first establish the existence and nonexistence of periodic …

We investigate spreading properties of solutions of a large class of two-component reaction–
diffusion systems, including prey–predator systems as a special case. By spreading …

We determine the asymptotic spreading speed of an invasive species, which invades the
territory of a native competitor, governed by a diffusive competition model with a free …

In this work a two component epidemic reaction–diffusion system posed on the whole space
RN is considered. Uniform boundedness of the solutions is proved using suitable local L p …

Vector-borne diseases, such as chikungunya, dengue, malaria, West Nile virus, yellow fever
and Zika, pose a major global public health problem worldwide. In this paper we investigate …

We study traveling wave solutions for Holling–Tanner type predator–prey models, where the
predator equation has a singularity at zero prey population. The traveling wave solutions …

We study spreading phenomena in a two-component reaction-diffusion system, modeling
the Neolithic transition from hunter-gatherer societies to agricultural societies in Europe …

This paper will mainly study the information about the existence and stability of the invasion
traveling waves for the nonlocal Leslie-Gower predator-prey model. By using an invariant …

Recent experimental evidence suggests that spatial heterogeneity plays an important role in
within‐host infections caused by different viruses including hepatitis B virus (HBV), hepatitis …

This paper is concerned with the existence and further properties of propagation speeds of
transition fronts for bistable reaction-diffusion equations in exterior domains and in some …