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- W2034376501 abstract "To be more precise about the real world activity, a stochastic multigroup SEIR epidemic model is formulated. we define the basic reproduction number<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:msubsup><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:mi>S</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math>and show that it is a sharp threshold for the dynamics of SDE model. If<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:msubsup><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:mi>S</mml:mi></mml:mrow></mml:msubsup><mml:mo><</mml:mo><mml:mn>1</mml:mn></mml:math>, the disease-free equilibrium is asymptotically stable; and if<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:msubsup><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:mi>S</mml:mi></mml:mrow></mml:msubsup><mml:mo>></mml:mo><mml:mn>1</mml:mn></mml:math>, the disease persists and there exists a globally asymptotically stable stationary distribution. Numerical simulation examples are carried out to substantiate the analytical results." @default.
- W2034376501 created "2016-06-24" @default.
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- W2034376501 date "2014-01-01" @default.
- W2034376501 modified "2023-10-17" @default.
- W2034376501 title "Dynamics of a Stochastic Multigroup SEIR Epidemic Model" @default.
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