The effect of conspecific support on the asymptotic properties of competing species

The long term properties, like coexistence and extinction, are usually determined by the demographics of the competing species or other competitive advantages. In this dissertation we consider the effect of conspecific support on the coexistence of species. We show that, even if the competing species have the same demographics and interaction, their coexistence can be destabilized by sufficient level of conspecific support. When considering large number of species the conspecific support destabilizes the coexistance equilibrium, thus producing a pattern of extinction and varied levels of existence. Up-scaling the model to continuous space variable leads to a model of pattern formation via local self-activation and lateral inhibition.

Grantor dc:publisher

University of Pretoria

Year dc:date.issued

2018

Advisor dc:contributor.advisor

• Anguelov, Roumen

• UCTD

Statement dc:rights

• © 2019 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.

Language dc:language.iso

en

Dc Identifier Other

A2019

OAI identifier oai:identifier

oai:repository.up.ac.za:2263/70469