Global dynamics of a Lotka–Volterra competition patch model*

Global Dynamics of a Chemostat Competition Model with Distributed Delay

We study the global dynamics of n-species competition in a chemo-stat with distributed delay describing the time-lag involved in the conversion of nutrient to viable biomass. The delay phenomenon is modelled by the gamma distribution. The linear chain trick and a uctuation lemma are applied to obtain the global limiting behavior of the model. When each population can survive if it is cultured a...

Membrane Research in a Global Context Requires Collaboration, not Competition!

Global dynamics of a discrete two-species Lottery-Ricker competition model.

In this article, we study the global dynamics of a discrete two-dimensional competition model. We give sufficient conditions on the persistence of one species and the existence of local asymptotically stable interior period-2 orbit for this system. Moreover, we show that for a certain parameter range, there exists a compact interior attractor that attracts all interior points except Lebesgue me...

investigating the feasibility of a proposed model for geometric design of deployable arch structures

deployable scissor type structures are composed of the so-called scissor-like elements (sles), which are connected to each other at an intermediate point through a pivotal connection and allow them to be folded into a compact bundle for storage or transport. several sles are connected to each other in order to form units with regular polygonal plan views. the sides and radii of the polygons are...

A MODEL FOR EVOLUTIONARY DYNAMICS OF WORDS IN A LANGUAGE

Human language, over its evolutionary history, has emerged as one of the fundamental defining characteristic of the modern man. However, this milestone evolutionary process through natural selection has not left any ’linguistic fossils’ that may enable us to trace back the actual course of development of language and its establishment in human societies. Lacking analytical tools to fathom the cr...