Probabilistic Models For Population Dynamics

Two interacting particle systems that serve as probabilistic models for population dynamics are studied in this work. The quadratic contact process is a stochastic spatial model for a population in which each individual has two parents and the dynamics are governed by random birth and death rates and an offspring distribution kernel. Another population model, due to Bolker and Pacala, models competition of different species in a forest. In both cases, we are interested in proving the existence of nontrivial stationary distributions.

Name thesis:degree_name

Ph. D., Mathematics

Level thesis:degree_level

Doctor of Philosophy

Discipline thesis:degree_discipline

Mathematics

Grantor

Cornell University

Year dc:date.issued

2013

Author dc:creator

• Bessonov, Mariya

Committee members dc:contributor.committeemember

• Saloff-Coste, Laurent Pascal
• Gross, Leonard
• Molchanov, Stanislav A

• probability

Language dc:language.iso

en_US

Handle dc:identifier.uri

https://hdl.handle.net/1813/34311

OAI identifier oai:identifier

oai:ecommons.cornell.edu:1813/34311