In this article, a dynamical model with advection-diffusion, elucidating the transmission
process of disease infection type computer virus, is studied. Such kind of systems help to …

Due to the unrestricted movement of humans over a wide area, it is important to understand
how individuals move between non-adjacent locations in space. In this research, we …

Dengue fever is a typical mosquito-borne disease transmitted by Aedes aegypti and Aedes
albopictus mosquitoes to human, which has become a major public health concern …

The nonlocal incidence and free boundaries are introduced into a classic SIR-SI model
describing the transmission dynamics of dengue fever, where the nonlocal incidence allows …

Hemorrhagic fever with renal syndrome (HFRS) spreading from rodent to human beings is a
major public health problem in China, which causes high mortality rate. Data obtained from …

In this article, a numerical model for a Brusselator advection–reaction–diffusion (BARD)
system by using an elegant numerical scheme is developed. The consistency and stability of …

To understand how human diffusion and media coverage affect the dynamics of dengue
fever epidemiology, we propose a SIR vs SI dengue model with a nonlinear contact …

The novel coronavirus disease, coined as COVID-19, is a murderous and infectious disease
initiated from Wuhan, China. This killer disease has taken a large number of lives around the …

In this article, a nonlinear autocatalytic chemical reaction glycolysis model with the
appearance of advection and diffusion is proposed. The occurrence and unicity of the …

This paper is devoted to developing a nonlocal and time-delayed reaction–diffusion model
which makes contributions to understanding the mechanism of block effect on HCV by high …