Malaria is one of the most important parasitic infections in humans and more than two billion
people are at risk every year. To understand how the spatial heterogeneity and extrinsic …

Foot-and-mouth disease (FMD) is an acute and highly contagious infectious disease of
cloven-hoofed animals. In order to reveal the transmission dynamics and explore effective …

We obtain full information about the existence and non-existence of travelling wave
solutions for a general class of diffusive Kermack–McKendrick SIR models with non-local …

The development of mathematical modeling of infectious diseases is a key research area in
various fields including ecology and epidemiology. One aim of these models is to …

Host heterogeneity can be modeled by using multi-group structures in the population. In this
paper we investigate the existence and nonexistence of traveling waves of a two-group SIR …

Brucellosis is a highly contagious zoonosis in the world caused by a group of bacteria from
the genus brucella. It can infect both human and animals through eating contaminated food …

This paper is concerned with the existence, nonexistence and minimal wave speed of
traveling waves of a nonlocal dispersal delayed SIR model with constant external supplies …

In this paper, we derive and analyze an infectious disease model containing a fixed latency
and non-local infection caused by the mobility of the latent individuals in a continuous …

Understanding the role of age structure and the spatial heterogeneity on disease spreading
and vanishing is a vital question in the transmission of diseases. In this paper we construct a …

Mathematical modeling has an extensive history in vector-borne disease epidemiology, and
is increasingly used for prediction, intervention design, and understanding mechanisms …