Constructing stage-structured matrix population models from life tables: comparison of methods

Constructing stage-structured matrix population models from life tables: comparison of methods

A matrix population model is a convenient tool for summarizing per capita survival and reproduction rates (collectively vital rates) of a population and can be used for calculating an asymptotic finite population growth rate (λ) and generation time. These two pieces of information can be used for determining the status of a threatened species. The use of stage-structured population models has i...

Comparison of two methods of constructing abridged life tables.

Constructing Gauge Theory Geometries from Matrix Models

We use the matrix model — gauge theory correspondence of Dijkgraaf and Vafa in order to construct the geometry encoding the exact gaugino condensate superpotential for the N = 1 U(N) gauge theory with adjoint and symmetric or anti-symmetric matter, broken by a tree level superpotential to a product subgroup involving U(Ni) and SO(Ni) or Sp( Ni 2 ) factors. The relevant geometry is encoded by a ...

Dynamics of Stage-structured Discrete Mosquito Population Models

We formulate discrete-time stage-structured models, based on systems of difference equations, for mosquito populations. We include the four distinct mosquito metamorphic stages, egg, pupa, larva, and adult, in the models. We derive a formula for the inherent net reproductive number, and investigate existence and stability of fixed points. We also show that the models, by means of numerical simu...

Dynamics of Stage-structured Population Models with Harvesting Pulses

In most models of population dynamics, changes in population due to birth or harvesting are assumed to be time-independent, but many species reproduce or are caught only during a single period of the year. In this paper a single species stage-structured model with density-dependent maturation rate, birth pulse and harvesting pulse is formulated. Using the discrete dynamical system determined by...