Global dynamics of a predator–prey model

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...

Variation in predator foraging behaviour changes predatorprey spatiotemporal dynamics

1. Foraging underlies the ability of all animals to acquire essential resources and thus provides a critical link to understand population dynamics. A key issue is how variation in foraging behaviour affects foraging efficiency and predator–prey interactions in spatially heterogeneous environments. However, there is very little quantitative information available on this topic. 2. We evaluated t...

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...

Global dynamics in a commodity market model

We study the global behavior of the price dynamics in a commodity market governed by a balance between demand and supply. While the dependence of demand on price is considered instantaneous, the supply term contains a delay, leading to a delay–differential equation. A discrete model is naturally defined as a limit case of this equation. We provide a thorough study of the discrete case, and use ...

Dynamics of a discrete-time plant-herbivore model