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Stochastically asymptotically stability of the multi-group SEIR and SIR models with random perturbation

✍ Scribed by Chengjun Yuan; Daqing Jiang; Donal O’Regan; Ravi P. Agarwal

Book ID
113547026
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
590 KB
Volume
17
Category
Article
ISSN
1007-5704

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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