... between autonomous and nonautonomous elements usually result in the extinction of one type. Here, we study a stochastic model that allows for the stable coexistence of autonomous and nonautonomous retrotransposons. We determine the conditions for this coexistence and derive an analytical expression...

... Differential Equations for Scientists and Engineers . New York: Springer Science & Business Media . Kac , M. ( 1974 ) A stochastic model related to the telegrapher’s equation . Rocky Mountain J. Math. , 4 , 497 – 509 . Kaplan , S. ( 1964 ) Differential equations in which...

... environments and exchanging migrants between them. Over time, the two populations undergo genetic differentiation and eventually become two different species. We simulate a stochastic model of populations evolving under migration and selection (with drift and mutations) that generates speciation events over...

... 04 2023 Corresponding author: Center for Interdisciplinary Research in Biology (CIRB), College de France, CNRS, INSERM, Université PSL, 11 Place Marcelin Berthelot, 75005 Paris, France. Email: [email protected] forecasting evolution demography microbial evolution stochastic model...

...‐{ij} individual. The rate for this to happen is N − T_ij⁺ − T_ij⁻. We now proceed with the theoretical analysis of this stochastic model. Since all individuals are equally likely to reproduce (at rate 1), i.e...

... by trained professionals. stochastic model Bluetooth contact tracing location-based contact tracing SARS-CoV-2 public health measures epidemic control Manual contact tracing typically involves interviewing confirmed cases about their recent contacts, and asking those contacts to take measures...

... from therapies, the second SDE model suggests that disease progression can slow down if therapies (1) can have fast return rates and (2) can bring parameter values into the disease clearance regions. in-host tuberculosis model deterministic model stochastic model bifurcation analysis Simons...

.... This may help policy makers in deciding on different social distancing measures. discrete stochastic modelling COVID-19 continuous integro-differential stochastic model After the identification of a novel strain of coronavirus in China in December 2019, later labelled COVID-19, the virus spread in China...

... of at least two false positive mammography results after 10 rounds of annual screening is 40.4. Breast Cancer Surveillance Consortium censoring competing risk mammography multistate model stochastic model National Cancer Institute 10.13039/100000054 P01CA154292 U54CA163303 Agency for Healthcare...

.... The present study might provide a practical way to predict the bacterial dynamic and stochastic inactivation for further probabilistic risk assessment. Isothermal heating meat product predictive microbiology stochastic model National Key Research and Development Program of China 10.13039/501100012166...

... the optimal CW by 1.2kg (2d) values for PF and PF were $4055 and $21667 USD re- and increased 2.4kg (4d) with the higher market price. spectively. Stocking density had a greater impact than the number of pigs per feeder space. Key words: pork, marketing, sort loss, stochastic model, pig supply chain Key words...

... being Poisson or dependent on the size of the company. Deterministic and continuous time stochastic models of company behaviour are developed which combine these recruitment patterns with two-stage leaving. These models are tested against the observed growth patterns of several companies and the results...

... in the context of some models that are currently used for stock market data, and the major transition points are related to some specific economic events not noted by earlier investigators of the series. Keywords: Autoregression; Doubly stochastic model; IBM stock data; Least squares; Markov chain 1...

... ) Summary This paper presents an example of how stochastic modelling can sometimes be used to help the scientist to distinguish between different hypotheses for the behaviour of the biological process he is studying. Stochastic Model in Biology App/. Statist. (1975), 24, No.1, p. 137 MISCELLANEA 137 Some...

...; HETEROSCEDASTIC; STOCHASTIC MODEL; RATIO ESTIMATION. INTRODUCTION THEchoice of a suitable sample plan is central to the design of a sample survey. Sample plans can be regarded as comprising separate selection and estimation procedures, but the choices of these are so interdependent that they must be considered...

.../standard_publication_model ) Summary A stochastic model based on a mixture of Poisson processes is proposed for the borrowing of books from a library collection. In its simplest form the model requires the specification of just two parameters which are easily estimated from circulation statistics which are normally...

... Publication Model ( https://dbpia.nl.go.kr/journals/pages/open_access/funder_policies/chorus/standard_publication_model ) Summary The Dirichlet is a stochastic model of purchase incidence and brand choice which parsimoniously integrates a wide range of already well-established empirical regularities. J. R...

... stable endemic equilibrium, bistability or periodic solutions. The extensions of the deterministic model to two stochastic models account for variability in responses seen at the cell (local) or tissue (global) levels. Numerical solutions of the stochastic models exhibit outcomes that are typical...

... ; de Reffye et al., 2012 ). Purely architectural models were developed on these bases, often using stochastic models to simulate the dynamics of the topological structure. The generic AMAPsim model is a good example of such an approach ( Barczi et al., 2008 ). Other stochastic models...

... of unmethylated, hemimethylated, fully methylated and hydroxymethylated CpG dyads in the DNA of cells with fully functional methylation and TET enzymes. In addition to this deterministic framework, stochastic models of the methylation cycle have also been used to study the methylation cycle. The goal has been...