Analysis of a lottery competition model with limited nutrient availability

Nonequilibrium coexistence in a competition model with nutrient storage.

Resource competition theory predicts that, in equilibrium, the number of coexisting species cannot exceed the number of limiting resources. In some competition models, however, competitive interactions may result in nonequilibrium dynamics, allowing the coexistence of many species on few resources. The relevance of these findings is still unclear, since some assumptions of the underlying models...

Diffusion Analysis and Stationary Distribution of the Two-Species Lottery Competition Model

The lottery model is a stochastic population model in which juveniles compete for space. Examples include sedentary organisms such as trees in a forest and members of marine benthic communities. The behavior of this model appears to be characteristic of that found in other sorts of stochastic competition models. In a community with two species, it was previously demonstrated that coexistence of...

A Model for Project Selecting with Limited Resources in Data Envelopment Analysis with Input and Output Fuzzy

In Evaluating Performance, Selecting a Subset from a Set of Solutions with Limited Resources is Essential. If There Is More Than One Input and Output, the Data Rnvelopment Analysis Optimization Models Are Evaluated and Performance Measurement Based on the Weighted Output Is Divided Weighted Input. In This Research, Two Models of Optimization with Limited Resources Present from Data Envelopment ...

Single Hysteresis Model for Limited-availability Group with BPP Traffic

This paper presents a single hysteresis model for limited-availability group that are offered Erlang, Engset and Pascal traffic streams. The occupancy distribution in the system is approximated by a weighted sum of occupancy distributions in multi-threshold systems. Distribution weights are obtained on the basis of a specially constructed Markovian switching process. The results of the calculat...

Scheduling with limited machine availability