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Literature DB >> 23728211

On linear birth-and-death processes in a random environment.

Abstract

We study the probability of extinction for single-type and multi-type continuous-time linear birth-and-death processes in a finite Markovian environment. The probability of extinction is equal to 1 almost surely if and only if the basic reproduction number R(0) is ≤ 1, the key point being to identify a suitable definition of R(0) for such a result to hold.

Mesh：

Year: 2013 PMID： 23728211 DOI： 10.1007/s00285-013-0696-0

Source DB: PubMed Journal: J Math Biol ISSN： 0303-6812 Impact factor: 2.259

7 in total

1. Birth and death processes with random environments in continuous time.

Authors: R Cogburn; W C Torrez
Journal: J Appl Probab Date: 1981 Impact factor: 1.042

2. The long-run distribution of births across environments under environmental stochasticity and its use in the calculation of unconditional life-history parameters.

Authors: Carlos Hernandez-Suarez; Jorge Rabinovich; Karla Hernandez
Journal: Theor Popul Biol Date: 2012-05-29 Impact factor: 1.570

3. Persistence of structured populations in random environments.

Authors: Michel Benaïm; Sebastian J Schreiber
Journal: Theor Popul Biol Date: 2009-04-07 Impact factor: 1.570

4. Stochastic epidemic models with random environment: quasi-stationarity, extinction and final size.

Authors: J R Artalejo; A Economou; M J Lopez-Herrero
Journal: J Math Biol Date: 2012-08-15 Impact factor: 2.259

5. On the basic reproduction number in a random environment.

Authors: Nicolas Bacaër; Mohamed Khaladi
Journal: J Math Biol Date: 2012-10-23 Impact factor: 2.259

6. On population growth in a randomly varying environment.

Authors: R C Lewontin; D Cohen
Journal: Proc Natl Acad Sci U S A Date: 1969-04 Impact factor: 11.205

7. The epidemic threshold of vector-borne diseases with seasonality: the case of cutaneous leishmaniasis in Chichaoua, Morocco.

Authors: Nicolas Bacaër; Souad Guernaoui
Journal: J Math Biol Date: 2006-07-05 Impact factor: 2.259

7 in total

4 in total

On linear birth-and-death processes in a random environment.

1. Birth and death processes with random environments in continuous time.

2. The long-run distribution of births across environments under environmental stochasticity and its use in the calculation of unconditional life-history parameters.

3. Persistence of structured populations in random environments.

4. Stochastic epidemic models with random environment: quasi-stationarity, extinction and final size.

5. On the basic reproduction number in a random environment.

6. On population growth in a randomly varying environment.

7. The epidemic threshold of vector-borne diseases with seasonality: the case of cutaneous leishmaniasis in Chichaoua, Morocco.

1. The deterministic SIS epidemic model in a Markovian random environment.

2. Sur les processus linéaires de naissance et de mort sous-critiques dans un environnement aléatoire.

3. Le modèle stochastique SIS pour une épidémie dans un environnement aléatoire.

4. The risk of SARS-CoV-2 outbreaks in low prevalence settings following the removal of travel restrictions.