A note on semi-discrete modelling in the life sciences
L Mailleret, V Lemesle - Philosophical Transactions of the …, 2009 - royalsocietypublishing.org
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 …
continuous dynamics most of the time but repeatedly experience discrete changes at some …
[图书][B] Optimal control applied to biological models
S Lenhart, JT Workman - 2007 - taylorfrancis.com
From economics and business to the biological sciences to physics and engineering,
professionals successfully use the powerful mathematical tool of optimal control to make …
professionals successfully use the powerful mathematical tool of optimal control to make …
[HTML][HTML] Modeling Lyme disease transmission
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 …
challenges. A growing body of theoretical models have been proposed to better understand …
The Basic Reproduction Number for Complex Disease Systems: Defining R0 for Tick‐Borne Infections
NA Hartemink, SE Randolph, SA Davis… - The American …, 2008 - journals.uchicago.edu
Characterizing the basic reproduction number,, for many wildlife disease systems can seem
a complex problem because several species are involved, because there are different …
a complex problem because several species are involved, because there are different …
An epidemic model of a vector-borne disease with direct transmission and time delay
HM Wei, XZ Li, M Martcheva - Journal of Mathematical Analysis and …, 2008 - Elsevier
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 …
transmission in addition to the vector-mediated transmission. The incidence term is assumed …
Effects of tick population dynamics and host densities on the persistence of tick-borne infections
R Rosà, A Pugliese - Mathematical biosciences, 2007 - Elsevier
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 …
densities and the structure of host populations. By extending previous models and analysis …
Ecological interactions driving population dynamics of two tick-borne pathogens, Borrelia burgdorferi and Babesia microti
DM Tufts, B Adams… - Proceedings of the …, 2023 - royalsocietypublishing.org
Borrelia burgdorferi (Bb) and Babesia microti (Bm) are vector-borne zoonotic pathogens
commonly found co-circulating in Ixodes scapularis and Peromyscus leucopus populations …
commonly found co-circulating in Ixodes scapularis and Peromyscus leucopus populations …
Developing a temperature-driven map of the basic reproductive number of the emerging tick vector of Lyme disease Ixodes scapularis in Canada
X Wu, VR Duvvuri, Y Lou, NH Ogden, Y Pelcat… - Journal of theoretical …, 2013 - Elsevier
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 …
deterministic structure. Using temperature normals smoothed by Fourier analysis to …
Modeling tick-borne disease: a metapopulation model
Recent increases in reported outbreaks of tick-borne diseases have led to increased interest
in understanding and controlling epidemics involving these transmission vectors …
in understanding and controlling epidemics involving these transmission vectors …
Dynamics of a time-delayed Lyme disease model with seasonality
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 …
factors. We obtain the existence of a disease-free periodic solution under some additional …