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Existence, uniqueness, and global stability of positive solutions to the food-limited population model with random perturbation

✍ Scribed by Daqing Jiang; Ningzhong Shi; Yanan Zhao

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
328 KB
Volume
42
Category
Article
ISSN
0895-7177

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## Abstract This paper discusses a randomized logistic equation equation image with initial value __x__(0)=__x__~0~>0, where __B__(__t__) is a standard one‐dimension Brownian motion, and θ∈(0, 0.5). We show that the positive solution of the stochastic differential equation does not explode at any