Search Results - "Thieme, Horst R."

SPECTRAL BOUND AND REPRODUCTION NUMBER FOR INFINITE-DIMENSIONAL POPULATION STRUCTURE AND TIME HETEROGENEITY by THIEME, HORST R.

“…Spectral bounds of quasi-positive matrices are crucial mathematical threshold parameters in population models that are formulated as systems of ordinary…”
Get full text

Discrete-time population dynamics on the state space of measures by Thieme, Horst R

“…If the individual state space of a structured population is given by a metric space , measures on the -algebra of Borel subsets of offer a modeling tool with a…”
Get full text

Can infectious diseases eradicate host species? The effect of infection-age structure by Ponce, Joan, Thieme, Horst R.

“…It is a fundamental question in mathematical epidemiology whether deadly infectious diseases only lead to a mere decline of their host populations or whether…”
Get full text

Discrete-time population dynamics of spatially distributed semelparous two-sex populations by Thieme, Horst R.

“…Spatially distributed populations with two sexes may face the problem that males and females concentrate in different parts of the habitat and mating and…”
Get full text

Emergent Allee effects in top predators feeding on structured prey populations by de Roos, AndréM., Persson, Lennart, Thieme, Horst R.

“…Top predators that forage in a purely exploitative manner on smaller stages of a size–structured prey population have been shown to exhibit an Allee effect…”
Get full text

From homogeneous eigenvalue problems to two-sex population dynamics by Thieme, Horst R.

“…Enclosure theorems are derived for homogeneous bounded order-preserving operators and illustrated for operators involving pair-formation functions introduced…”
Get full text

Delay differential systems for tick population dynamics by Fan, Guihong, Thieme, Horst R., Zhu, Huaiping

“…Ticks play a critical role as vectors in the transmission and spread of Lyme disease, an emerging infectious disease which can cause severe illness in humans…”
Get full text

Correction: Do fatal infectious diseases eradicate host species? by Farrell, Alex P., Collins, James P., Greer, Amy L., Thieme, Horst R.

Get full text

Eigenfunctionals of Homogeneous Order-Preserving Maps with Applications to Sexually Reproducing Populations by Thieme, Horst R.

“…Homogeneous bounded maps B on cones X + of ordered normed vector spaces X allow the definition of a cone spectral radius which is analogous to the spectral…”
Get full text

How ticks keep ticking in the adversity of host immune reactions by Jennings, Rachel, Kuang, Yang, Thieme, Horst R., Wu, Jianhong, Wu, Xiaotian

“…Ixodid ticks are acknowledged as one of the most important hematophagous arthropods because of their ability in transmitting a variety of tick-borne diseases…”
Get full text

Do fatal infectious diseases eradicate host species? by Farrell, Alex P., Collins, James P., Greer, Amy L., Thieme, Horst R.

“…In simple SI epidemic and endemic models, three classes of incidence functions are identified for their potential to be associated with host extinction: weakly…”
Get full text

Measures under the flat norm as ordered normed vector space by Gwiazda, Piotr, Marciniak-Czochra, Anna, Thieme, Horst R.

“…The space of real Borel measures M ( S ) on a metric space S under the flat norm (dual bounded Lipschitz norm), ordered by the cone M + ( S ) of nonnegative…”
Get full text

Persistence versus extinction for a class of discrete-time structured population models by Jin, Wen, Smith, Hal L., Thieme, Horst R.

“…We provide sharp conditions distinguishing persistence and extinction for a class of discrete-time dynamical systems on the positive cone of an ordered Banach…”
Get full text

Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction–diffusion models by Thieme, Horst R., Zhao, Xiao-Qiang

“…The theory of asymptotic speeds of spread and monotone traveling waves is generalized to a large class of scalar nonlinear integral equations and is applied to…”
Get full text

Times from Infection to Disease-Induced Death and their Influence on Final Population Sizes After Epidemic Outbreaks by Farrell, Alex P., Collins, James P., Greer, Amy L., Thieme, Horst R.

“…For epidemic models, it is shown that fatal infectious diseases cannot drive the host population into extinction if the incidence function is upper…”
Get full text

Persistence and Critical Domain Size for Diffusing Populations with Two Sexes and Short Reproductive Season by Jin, Wen, Smith, Hal L., Thieme, Horst R.

“…A model is considered for a spatially distributed population of male and female individuals that mate and reproduce only once in their life during a very short…”
Get full text

Persistence of bacteria and phages in a chemostat by Smith, Hal L., Thieme, Horst R.

“…The model of bacteriophage predation on bacteria in a chemostat formulated by Levin et al. (Am Nat 111:3–24, 1977 ) is generalized to include a distributed…”
Get full text

How May Infection-Age-Dependent Infectivity Affect the Dynamics of HIV/AIDS? by Thieme, Horst R., Castillo-Chavez, Carlos

“…Epidemiological and behavioral factors crucial to the dynamics of HIV/AIDS include long and variable periods of infectiousness, variable infectivity, and the…”
Get full text

Stability and persistence in ODE models for populations with many stages by Fan, Guihong, Lou, Yijun, Thieme, Horst R, Wu, Jianhong

“…A model of ordinary differential equations is formulated for populations which are structured by many stages. The model is motivated by ticks which are vectors…”
Get more information

Correction to: Measures under the flat norm as ordered normed vector space by Gwiazda, Piotr, Marciniak-Czochra, Anna, Thieme, Horst R.

Get full text