𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Mathematical Model for Neanderthal Extinction

✍ Scribed by J.C. Flores

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
145 KB
Volume
191
Category
Article
ISSN
0022-5193

No coin nor oath required. For personal study only.

✦ Synopsis

A simple mathematical homogeneous model of competition is used to describe Neanderthal extinction in Europe. It considers two interacting species, Neanderthals and Early Modern Men, in the same ecological niche. Using paleontological data we claim that the parameter of similarity, between both species, fluctuates between 0.992 and 0.997. An extension of the model including migration (diffusion) is also discussed; nevertheless, extinction of Neanderthal seems unavoidable. Numerical analysis of travelling wave solutions (fronts) confirms the extinction. The wave-front-velocity is estimated from linear analysis and numerical simulations confirm this estimation. We conjecture a mathematical formulation for the principle of exclusion between competitive interacting species (Gause).

πŸ“œ SIMILAR VOLUMES

A Mathematical Model for Extrachromosoma
A Mathematical Model for Extrachromosomal Heredity
✍ Dr. W. HoppenmΓΌller πŸ“‚ Article πŸ“… 1978 πŸ› John Wiley and Sons 🌐 English βš– 365 KB πŸ‘ 1 views

## Abstract During embryogeny the components of the cytoplasm of a zygote are subject to certain irregularities. This has been investigated with the aid of some probability models and distribution functions. For mitochondria, which are the most important cell components with respect to extra‐chromo

A New Mathematical Model for Supercoolin
A New Mathematical Model for Supercooling
✍ Michel FrΓ©mond; RaΓΊl Gormaz; Jorge Alonso San Martı́n πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 202 KB

In this article we study supercooling from a macroscopic point of view by modeling the evolution of a supercooled body from its liquid state to its solid state. A first model, which would be expected to have discontinuous solutions, is regularized by introducing an intrinsic viscous dissipation. By

A Mathematical Study for a Rotenberg Mod
A Mathematical Study for a Rotenberg Model
✍ M. Boulanouar πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 171 KB

This paper deals with a mathematical model in cell dynamics population originally proposed by M. Rotenberg (1983, J. Theoret. Biol. 103, 181-199). Individual cells are distinguished by their degree of maturity and maturation velocity. Here, all biological rules are considered. We bring new technique

A Model of Mass Extinction
A Model of Mass Extinction
✍ M.E.J. Newman πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 309 KB

In the last few years a number of authors have suggested that evolution may be a so-called self-organized critical phenomenon, and that critical processes might have a significant effect on the dynamics of ecosystems. In particular it has been suggested that mass extinction may arise through a purel

A mathematical model for impulse resista
A mathematical model for impulse resistance welding
✍ F. Duderstadt; D. HΓΆmberg; A. M. Khludnev πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 282 KB

## Abstract We present a mathematical model of impulse resistance welding. It accounts for electrical, thermal and mechanical effects, which are non‐linearly coupled by the balance laws, constitutive equations and boundary conditions. The electrical effects of the weld machine are incorporated by a