Metastability of a random walk with catastrophes

Autor(es)

Fontes, Luiz Renato ^[1] ; Schinazi, Rinaldo B. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil

^[2] Univ Colorado, Dept Math, Colorado Springs, CO 80933 - USA

• Tipo de documento: Artigo Científico
• Fonte: Electronic Communications in Probability; v. 24, 2019.
• Citações Web of Science: 0

Resumo

We consider a random walk with catastrophes which was introduced to model population biology. It is known that this Markov chain gets eventually absorbed at 0 for all parameter values. Recently, it has been shown that this chain exhibits a metastable behavior in the sense that it can persist for a very long time before getting absorbed. In this paper we study this metastable phase by making the parameters converge to extreme values. We obtain four different limits that we believe shed light on the metastable phase. (AU)

• Processo FAPESP: 17/10555-0 - Modelagem estocástica de sistemas interagentes
• Beneficiário: Fabio Prates Machado
• Modalidade de apoio: Auxílio à Pesquisa - Temático