Semi-discrete models are a particular class of hybrid dynamical systems that undergo
continuous dynamics most of the time but repeatedly experience discrete changes at some …

The novel coronavirus (COVID-19) that was first reported at the end of 2019 has impacted
almost every aspect of life as we know it. This paper focuses on the incidence of the disease …

Many dynamical systems have an impulsive dynamical behavior due to abrupt changes at
certain instants during the evolution process. The mathematical description of these …

Urban transportation systems satisfy the essential mobility needs of the large-scale urban
population, but it also creates an ideal environment that favors the spread of infectious …

Human mobility is a key element in the understanding of epidemic spreading. Thus, correctly
modeling and quantifying human mobility is critical for studying large-scale spatial …

Vaccination is important for the elimination of infectious diseases. To finish a vaccination
process, doses usually should be taken several times and there must be some fixed time …

Pulse vaccination is an important strategy for the elimination of infectious diseases. An
SEIRS epidemic model with time delays and pulse vaccination is formulated in this paper …

We study a novel multi-strain SIR epidemic model with selective immunity by vaccination. A
newer strain is made to emerge in the population when a preexisting strain has reached …

APPLICATIONS OF VARIATIONAL METHODS TO BOUNDARY-VALUE PROBLEM FOR
IMPULSIVE DIFFERENTIAL EQUATIONS Page 1 Proceedings of the Edinburgh Mathematical …

With the vaccination against Covid-19 now available, how vaccination campaigns influence
the mathematical modeling of epidemics is quantitatively explored. In this paper, the …