0 as delay in the "SEIR" model with vertical transmission. The conditions of existence and boundedness of the steady states are executed. The basic reproduction number R_0 is derived, and disease-free equilibrium is shown globally stable at R_0" />
International Journal of Statistics and Applied Mathematics
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International Journal of Statistics and Applied Mathematics

2021, Vol. 6, Issue 3, Part B

Analysis of SIR and SEIR infectious disease models incorporating time delay and vertical transmission


Author(s): Jyoti Gupta

Abstract: This article proposed the "SIR" and "SEIR" models with delay and vertical transmission. We have incorporated the vertical transmission in a delayed "SIR" model assuming a fraction q of offspring from infectious class are infective at birth. Again, we have incorporated incubation period h>0 as delay in the "SEIR" model with vertical transmission. The conditions of existence and boundedness of the steady states are executed. The basic reproduction number R_0 is derived, and disease-free equilibrium is shown globally stable at R_0<1. Global stability of the endemic equilibrium is shown under specified conditions. The numerical simulation also confirms our theoretical findings.

Pages: 142-150 | Views: 57 | Downloads: 5

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How to cite this article:
Jyoti Gupta. Analysis of SIR and SEIR infectious disease models incorporating time delay and vertical transmission. Int J Stat Appl Math 2021;6(3):142-150.
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