TY - THES AB - The thesis is devoted to the studies of four birth-and-death type processes in continuum. The contact process and Glauber-type dynamics in random environment are treated. Additionally, two-component systems are introduced: the ecological model and Glauber-Potts type model. For all of the above-mentioned processes, the existence of the associated dynamics is proven. The Vlasov-type scaling is applied to the two-component models and the corresponding Vlasov equations are derived. DA - 2011 KW - Kontinuum (Mathematik) KW - Konfigurationsraum KW - Stochastischer Prozess KW - Diffusionsprozess KW - Geburt-Tod-Prozess (Mathematik) KW - Kontaktmodell KW - Glauber-Dynamik KW - Contact model KW - Ecological model KW - Glauber dynamics LA - eng PY - 2011 TI - On some classes of birth and death processes in continuum UR - https://nbn-resolving.org/urn:nbn:de:hbz:361-18181 Y2 - 2024-11-22T01:29:25 ER -