Existence, uniqueness, stochastic persistence and global stability of positive solutions of the logistic equation with random perturbation

Mathematical Methods in the Applied Sciences

Volumn 30, Issue 1, 2007, Pages 77-89

  Chunyan, Ji ^a,b   Daqing, Jiang ^a   Ningzhong, Shi ^a   O'Regan, Donal ^c  

^a NORTHEAST NORMAL UNIVERSITY   (China)

^b CHANGSHU INSTITUTE OF TECHNOLOGY   (China)

^c NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

Boundedness; Brownian motion; Existence; Global stability; It 's formula; Lyapunov function; Persistence; Uniqueness

Indexed keywords

ASYMPTOTIC STABILITY; BROWNIAN MOVEMENT; FINITE ELEMENT METHOD; PERTURBATION TECHNIQUES; RANDOM PROCESSES;

GLOBAL STABILITY; ITÔ'S FORMULA; STOCHASTIC PERSISTENCE;

DIFFERENTIAL EQUATIONS;

EID: 33845594571     PISSN: 01704214     EISSN: 10991476     Source Type: Journal    
DOI: 10.1002/mma.778     Document Type: Article

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