In this paper, a SEIR epidemic model for the COVID-19 is built according to some general
control strategies, such as hospital, quarantine and external input. Based on the data of …

综述了1999 年以来时滞系统动力学在力学, 机械工程, 航空航天, 生态学, 生物学, 神经网络,
激光, 电子和信息技术, 保密通讯和经济学等领域的研究进展, 总结了其中的研究方法 …

Mathematical models are ubiquitous in the study of the transmission dynamics of infectious
diseases, In particular, the classic'susceptible-infectious-recovered'(SIR<) paradigm …

Mathematical modeling has been increasingly recognized in the public health community as
an important research tool for infectious diseases control. Mathematical models are widely …

The reemergence of tuberculosis (TB) from the 1980s to the early 1990s instigated extensive
researches on the mechanisms behind the transmission dynamics of TB epidemics. This …

In this paper, we study the global dynamics of an epidemic model with vital dynamics and
nonlinear incidence rate of saturated mass action. By carrying out global qualitative and …

We present an ordinary differential equation mathematical model for the spread of malaria in
human and mosquito populations. Susceptible humans can be infected when they are bitten …

The purpose of this paper is to investigate the transmission dynamics of a fractional-order
mathematical model of COVID-19 including susceptible (S), exposed (E), asymptomatic …

An epidemic model with a limited resource for treatment is proposed to understand the effect
of the capacity for treatment. It is assumed that treatment rate is proportional to the number of …

A brief description of the importance of communicable diseases in history and the
development of mathematical modelling of disease transmission is given. This includes …