Allgower, Analysis and simulation of division- and label-structured population models: A new tool to analyze proliferation assays, Bull. Math. Biol. 74 (2012), 2692-2732.J. Hasenauer, D. Schittler, and F. Allgöwer, “Analysis and simulation of division- and label-structured population ...
finite maximum agemodelling and simulationfinite volume approximationIMEX-WENOIn this article, we design a high-order implicit-explicit weighted non-oscillatory (IMEX-WENO) scheme for the solution of the population age density model with the nonlinear mortality rate as well as fertility rate. The ...
A structured population model is described and analyzed, in which individual dynamics is stochastic. The model consists of a PDE of advection-diffusion type in the structure variable. The population may represent, for example, the density of infected individuals structured by pathogen densityx,x≥0....
Population SimulationSpatial Physiological HeterogeneitySummary 1. Population dynamics are frequently the product of a subtle interplay between devel- opment and dispersal in an inhomogeneous environment. Simulations of spatially inhomogeneous populations with physiologically distinguishable individuals are a known ...
A population structure favorable to the evolution of an altruistic trait is studied by Monte Carlo simulation. The model is based on a small-scale nonindustrial human society but seems generalizable to other highly social mammals. Three hierarchical levels are recognized: 1) the ecologically isolated...
We also check the performance of our WENO schemes for long time simulation. We simulate this model for 10 years (t=3650) and plot the total population (the integral of the density u over the length) in Fig. 5, for two different values of C in (33), namely C=2000 for the top pict...
For this model of population structure, scaled relatedness is inversely proportional to the degree k. This means that, according to our terminology, graphs of larger degree (and hence more similar to a well-mixed population represented by a complete graph for which k = N T − 1)...
The former has been proposed as a model for understanding the necessity of hierarchical lineages of cells to reduce the likelihood of cancer initiation45. Some population structures have fixation probabilities which are given exactly by rMn ðrÞ and a fundamental result, called the isothermal ...
This paper is concerned with the design of an adaptive extremum seeking control scheme for a mass structured cell population balance model in a bioreactor. The feed substrate concentration is considered as the manipulated input to drive system states to the desired setpoints that maximize the value...
Cazzador, L.; Mariani, L.: A simulation program based on a structured population model for biotechnological yeast processes. Appl. Microbiol. Biotechnol. 29 (1988) 198–202 Google Scholar Crooke, P. S.; Wei, C. W.; Tanner, R. D.: The effect of the specific growth rate and yield ...