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The model is defined in discrete time. It is usually expressed as [1] [2] + = + = with H the population size of the host, P the population size of the parasitoid, k the reproductive rate of the host, a the searching efficiency of the parasitoid, and c the average number of viable eggs that a parasitoid lays on a single host.
Integrated nested Laplace approximations (INLA) is a method for approximate Bayesian inference based on Laplace's method. [1] It is designed for a class of models called latent Gaussian models (LGMs), for which it can be a fast and accurate alternative for Markov chain Monte Carlo methods to compute posterior marginal distributions.
The row vectors of a matrix.The row space of this matrix is the vector space spanned by the row vectors. The column vectors of a matrix.The column space of this matrix is the vector space spanned by the column vectors.
Let G be a locally finite directed acyclic graph.This means that each vertex has finite degree, and that G contains no directed cycles. Consider base vertices = {, …,} and destination vertices = {, …,}, and also assign a weight to each directed edge e.
The HOSVD is most commonly applied to the extraction of relevant information from multi-way arrays. Starting in the early 2000s, Vasilescu addressed causal questions by reframing the data analysis, recognition and synthesis problems as multilinear tensor problems.
In mathematical biology, the community matrix is the linearization of a generalized Lotka–Volterra equation at an equilibrium point. [1] The eigenvalues of the community matrix determine the stability of the equilibrium point.
The Dirichlet distribution is a conjugate distribution to the multinomial distribution. This fact leads to an analytically tractable compound distribution.For a random vector of category counts = (, …,), distributed according to a multinomial distribution, the marginal distribution is obtained by integrating on the distribution for p which can be thought of as a random vector following a ...
The vortex lattice method is built on the theory of ideal flow, also known as Potential flow.Ideal flow is a simplification of the real flow experienced in nature, however for many engineering applications this simplified representation has all of the properties that are important from the engineering point of view.