Persistence and existence of stationary measures for a logistic growth model with predation

Autor:	Susana Pinheiro
Rok vydání:	2016
Předmět:	Statistics and Probability education.field_of_study Applied Mathematics 010102 general mathematics Diagram Population Stationary sequence 01 natural sciences Measure (mathematics) Term (time) 010101 applied mathematics Stochastic differential equation Modeling and Simulation Econometrics Applied mathematics Uniqueness 0101 mathematics Logistic function education Mathematics
Zdroj:	Stochastic Models. 32:513-538
ISSN:	1532-4214 1532-6349
DOI:	10.1080/15326349.2016.1174587
Popis:	We consider a stochastic logistic growth model with a predation term, and a diffusive stochastic part with a power-type coefficient. We provide criteria for the persistence of the population and for the existence and uniqueness of a stationary measure. Furthermore, we perform a detailed study of the densities of the stationary measures resorting to the forward Kolmogorov equation. We compile our results in a stochastic bifurcation diagram, drawing comparisons with the corresponding deterministic model.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a7c6985aa30c47e739c203a19dd4b6fb https://doi.org/10.1080/15326349.2016.1174587 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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