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: 622 | Downloads: 13Download Full Article: Click Here
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.
