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Many real epidemics of an infectious disease are not straightforwardly super- or sub-critical, and the understanding of epidemic models that exhibit such complexity has been identified as a priority for theoretical work. We provide insights…

Probability · Mathematics 2018-02-23 Graham Brightwell , Thomas House , Malwina Luczak

The stacked contact process is a three-state spin system that describes the co-evolution of a population of hosts together with their symbionts. In a nutshell, the hosts evolve according to a contact process while the symbionts evolve…

Probability · Mathematics 2020-05-06 Eric Foxall , Nicolas Lanchier

Detecting associations between microbial compositions and sample characteristics is one of the most important tasks in microbiome studies. Most of the existing methods apply univariate models to single microbial species separately, with…

In most biological studies and processes, cell proliferation and population dynamics play an essential role. Due to this ubiquity, a multitude of mathematical models has been developed to describe these processes. While the simplest models…

Populations and Evolution · Quantitative Biology 2012-02-23 J. Hasenauer , D. Schittler , F. Allgower

Network ecology is a rising field of quantitative biology representing ecosystems as complex networks. A suitable example is parasite spreading: several parasites may be transmitted among their hosts through different mechanisms, each one…

Quantitative Methods · Quantitative Biology 2016-09-12 Massimo Stella , Cecilia S. Andreazzi , Sanja Selakovic , Alireza Goudarzi , Alberto Antonioni

In the analysis of survival data, it is usually assumed that any unit will experience the event of interest if it is observed for a sufficient long time. However, one can explicitly assume that an unknown proportion of the population under…

Methodology · Statistics 2014-05-15 Vincent Bremhorst , Philippe Lambert

The paper proposes a Bayesian multinomial logit model to analyse spatial patterns of urban expansion. The specification assumes that the log-odds of each class follow a spatial autoregressive process. Using recent advances in Bayesian…

Econometrics · Economics 2020-08-04 Tamás Krisztin , Philipp Piribauer , Michael Wögerer

Bayesian inference methods are applied within a Bayesian hierarchical modelling framework to the problems of joint state and parameter estimation, and of state forecasting. We explore and demonstrate the ideas in the context of a simple…

Applications · Statistics 2012-11-09 John Parslow , Noel Cressie , Edward P. Campbell , Emlyn Jones , Lawrence Murray

The predator/prey (capture) problem is a prototype of many network-related applications. We study the capture process on complex networks by considering multiple predators from multiple sources. In our model, some lions start from multiple…

Physics and Society · Physics 2017-04-05 Rajput Ramiz Sharafat , Jie Li , Cunlai Pu , Rongbin Chen

We use a multitype continuous time Markov branching process model to describe the dynamics of the spread of parasites of two types that can mutate into each other in a common host population. Instead of using a single virulence…

Probability · Mathematics 2011-09-02 Konstantin Borovkov , Robert Day , Timothy Rice

Extrinsic environmental factors influence the distribution and population dynamics of many organisms, including insects that are of concern for human health and agriculture. This is particularly true for vector-borne infectious diseases,…

Quantitative Methods · Quantitative Biology 2015-03-31 Leah R. Johnson , Tal Ben-Horin , Kevin D. Lafferty , Amy McNally , Erin Mordecai , Krijn P. Paaijmans , Samraat Pawar , Sadie J. Ryan

We define and study an open stochastic SIR (Susceptible -- Infected -- Removed) model on a graph in order to describe the spread of an epidemic on a cattle trade network with epidemiological and demographic dynamics occurring over the same…

Probability · Mathematics 2019-03-28 Pierre Montagnon

Physiological stress fundamentally alters disease susceptibility in aquatic environments. In this paper, we develop a stress-structured epidemiological model where host vulnerability is dynamically driven by water quality. Analytically, we…

Populations and Evolution · Quantitative Biology 2026-02-10 Clotilde Djuikem , Julien Arino

Flow cytometry is a widespread single-cell measurement technology with a multitude of clinical and research applications. Interpretation of flow cytometry data is hard; the instrumentation is delicate and can not render absolute…

Applications · Statistics 2015-02-16 Jonas Wallin , Kerstin Johnsson , Magnus Fontes

Halloumi is a semi hard cheese produced in Cyprus for centuries and its popularity has significantly risen over the past years. High throughput sequencing (HTS) was applied in the present research to characterize traditional Cyprus Halloumi…

This paper develops mathematical tools to estimate seasonal changes in measles transmission rates and corresponding variation in population susceptibility. The tools are designed to leverage times series of cases in the absence of…

Populations and Evolution · Quantitative Biology 2024-05-17 Niket Thakkar , Sonia Jindal , Katherine Rosenfeld

Dietary patterns synthesize multiple related diet components, which can be used by nutrition researchers to examine diet-disease relationships. Latent class models (LCMs) have been used to derive dietary patterns from dietary intake…

Methodology · Statistics 2025-04-11 Mengbing Li , Briana Stephenson , Zhenke Wu

Chlamydiae are bacteria with an interesting unusual developmental cycle. A single bacterium in its infectious form (elementary body, EB) enters the host cell, where it converts into its dividing form (reticulate body, RB), and divides by…

Populations and Evolution · Quantitative Biology 2023-06-06 Péter Kevei , Máté Szalai

Various bacterial strains (e.g. strains belonging to the genera Bacillus, Paenibacillus, Serratia and Salmonella) exhibit colonial branching patterns during growth on poor semi-solid substrates. These patterns reflect the bacterial…

Condensed Matter · Physics 2009-10-31 Yonathan Kozlovsky , Inon Cohen , Ido Golding , Eshel Ben-Jacob

Thresholds occur in the dynamics of many biological communities. Here we model a persistence type threshold which has been shown experimentally to exist in hyperparasitised flukes in the cockle, a shellfish. Our model consists of a…

Populations and Evolution · Quantitative Biology 2015-06-22 E. A. O'Grady , S. C. Culloty , T. C. Kelly , M. J. A. O'Callaghan , D. Rachinskii
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