𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Stability in a Metapopulation Model with Density-dependent Dispersal

✍ Scribed by Jacques A.L. Silva; Manuela L. de Castro; Dagoberto A.R. Justo


Publisher
Springer
Year
2001
Tongue
English
Weight
220 KB
Volume
63
Category
Article
ISSN
1522-9602

No coin nor oath required. For personal study only.

✦ Synopsis


A spatially explicit metapopulation model with positive density-dependent migration is analysed. We obtained conditions under which a previously stable system can be driven to instability caused by a density-dependent migration mechanism. The stability boundary depends on the rate of increase of the number of migrants on each site at local equilibrium, on the intrinsic rate of increase at local level, on the number of patches, and on topological aspects regarding the connectivity between patches. A concrete example is presented illustrating the dynamics on the dispersal-induced unstable regime.


πŸ“œ SIMILAR VOLUMES


On the Evolution of Density Dependent Di
✍ Imre M. JΓ‘nosi; IstvΓ‘n Scheuring πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 302 KB

A simple metapopulation lattice model of two competing phenotypes is presented, where one phenotype reacts more sensitively to overcrowding by migrating to neighbouring local habitats. The sensitivity is formulated by means of a threshold density of the subpopulations, above which dispersal is trigg

Evolutionarily Stable Dispersal Rate in
✍ Sylvain Gandon; Yannis Michalakis πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 285 KB

We derive an analytic expression for the evolutionarily stable dispersal rate that formalizes the balance between the e!ects of four factors: the cost of dispersal, the extinction rate, the coe$cient of relatedness and the mode of dispersal (i.e. the probability of common origin of immigrants). This

Existence and stability of periodic solu
✍ Linfei Nie; Zhidong Teng; Lin Hu πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 431 KB

## Communicated by M. Grinfeld A single population growth model with stage-structured and state-dependent impulsive control is proposed. By using the PoincarΓ© map and the analogue of PoincarΓ©'s criterion, we prove the existence and the stability of positive order-1 or order-2 periodic solution. Mo

Modeling cell adhesion to a substrate wi
✍ Alireza S. Sarvestani; Esmaiel Jabbari πŸ“‚ Article πŸ“… 2009 πŸ› American Institute of Chemical Engineers 🌐 English βš– 207 KB πŸ‘ 1 views

## Abstract Surface density profile of bioadhesive ligands greatly influences spreading and migration of cells on substrates. A 1D peeling model is developed to predict the equilibrium adhesion strength and peeling tension of a cell membrane, adhered on a substrate with linearly increasing density

Analysis of solute transport in a diverg
✍ Jui-Sheng Chen; Chia-Shyun Chen; Chih Yu Chen πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 247 KB

## Abstract It has been known for many years that dispersivities increase with solute displacement distance in a subsurface. The increase of dispersivities with solute travel distance results from significant variation in hydraulic properties of porous media and was identified in the literature as