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 …

This paper considers the spreading speed and periodic traveling waves for a time-periodic
epidemic model in discrete media. There were some known results on spatial dynamics for …

Ecosystems are marvelous assemblages of individuals that grow, reproduce, interact with
one another, move about in space, and eventually die. Ecosystems also provide essential …

To understand the spreading and interaction of prey and predator, in this paper we study the
dynamics of the diffusive Lotka–Volterra type prey–predator model with different free …

A class of integral equations without monotonicity is investigated. It is shown that there is a
spreading speed c∗> 0 for such an integral equation, and that its limiting integral equation …

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 …

Many populations live in 'advective'media, such as rivers, where flow is biased in one
direction. In these environments, populations face the possibility of extinction by being …

To understand the effects that the climate change has on the evolution of species as well as
the genetic consequences, we analyze an integrodifference equation (IDE) models for a …

Reaction diffusion equations with delayed nonlinear reaction terms are used as prototypes
to motivate an appropriate abstract formulation of dynamical systems with unimodal …