Dynamical Behaviors of a Stochastic Single-Species Model with Allee Effects

Autor:	Famei Zheng, Guixin Hu
Rok vydání:	2021
Předmět:	Statistics and Probability education.field_of_study Dirac measure General Mathematics Population Scalar (physics) Probability density function symbols.namesake Bifurcation theory symbols Invariant measure education Sign (mathematics) Mathematics Allee effect Mathematical physics
Zdroj:	Methodology and Computing in Applied Probability. 24:1553-1563
ISSN:	1573-7713 1387-5841
DOI:	10.1007/s11009-021-09874-6
Popis:	In this letter, we test a scalar stochastic nonlinear equation used to portray the growth of a population with Allee effects. We first testify that there is a unique dynamical bifurcation point Λ to the equation, and the sign of Λ determines the dynamical properties of the equation: if Λ is negative, then the equation has a unique invariant measure — the Dirac measure concentrated at zero; if Λ is positive, the equation has a unique invariant measure concentrated on $(0,+\infty )$ , and the density function of the invariant measure can be expressed explicitly. Then we probe the lower-growth rate and the continuity of the solution. Finally, we apply the theoretical results to research the growth of African hunting dogs.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f32de65c448f785eb98354297fcadac7 https://doi.org/10.1007/s11009-021-09874-6 Zobrazit plný text záznamu Full text from SpringerLink