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 …

From economics and business to the biological sciences to physics and engineering,
professionals successfully use the powerful mathematical tool of optimal control to make …

Lyme disease, a typical tick-borne disease, imposes increasing global public health
challenges. A growing body of theoretical models have been proposed to better understand …

Characterizing the basic reproduction number,, for many wildlife disease systems can seem
a complex problem because several species are involved, because there are different …

This paper considers an epidemic model of a vector-borne disease which has direct mode of
transmission in addition to the vector-mediated transmission. The incidence term is assumed …

The transmission and the persistence of tick-borne infections are strongly influenced by the
densities and the structure of host populations. By extending previous models and analysis …

Borrelia burgdorferi (Bb) and Babesia microti (Bm) are vector-borne zoonotic pathogens
commonly found co-circulating in Ixodes scapularis and Peromyscus leucopus populations …

A mechanistic model of the tick vector of Lyme disease, Ixodes scapularis, was adapted to a
deterministic structure. Using temperature normals smoothed by Fourier analysis to …

Recent increases in reported outbreaks of tick-borne diseases have led to increased interest
in understanding and controlling epidemics involving these transmission vectors …

In this paper, we propose a time-delayed Lyme disease model incorporating the climate
factors. We obtain the existence of a disease-free periodic solution under some additional …