2026-09-18T20:51:15Zhttps://ecommons.cornell.edu/server/oai/requestoai:ecommons.cornell.edu:1813/343112026-05-14T13:51:25Zcom_1813_35col_1813_47
Bessonov, Mariya
Durrett, Richard Timothy
Saloff-Coste, Laurent Pascal
Gross, Leonard
Molchanov, Stanislav A
2013-09-16T16:43:01Z
2018-08-20T06:00:40Z
2013-08-19
https://hdl.handle.net/1813/34311
8267365
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.
en_US
probability
Probabilistic Models For Population Dynamics
dissertation or thesis
application/pdf
Mathematics
Cornell University
Doctor of Philosophy
Ph. D., Mathematics
Publication
Cornell Theses and Dissertations
Bessonov, Mariya
5893a6ea-7af3-41d7-abc6-04bcd26ab5df
open.access
open.access
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<Abstract>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.</Abstract>
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