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Journal of Applied Mathematics and Computing

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01.10.2016 | Original Research

Dynamics of an SIR model with vertical transmission and impulsive dispersal

verfasst von: Jianjun Jiao, Shaohong Cai, Limei Li

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2016

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Abstract

To understand the effect of vertical transmission, impulsive dispersal and restricting infected individuals boarding transports on disease spread, we establish an SIR model with vertical transmission and impulsive dispersal. This SIR epidemic model for two regions, which are connected by transportation of non-infected individuals, portrays the evolvement of diseases. We prove that all solutions of the investigated system are uniformly ultimately bounded. We also prove that there exists globally asymptotically stable infection-free boundary periodic solution. The condition for permanence is discussed. It is concluded that the approach of restricting infected individuals boarding transports provides reliable tactic basis for preventing disease spread.

Vorheriger Artikel Dynamics of a pest management predator–prey model with stage structure and impulsive stocking

Nächster Artikel Eigenvalues for iterative systems of nonlinear Caputo fractional order three point boundary value problems

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Titel: Dynamics of an SIR model with vertical transmission and impulsive dispersal
verfasst von: Jianjun Jiao
Shaohong Cai
Limei Li
Publikationsdatum: 01.10.2016
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2016
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-015-0934-2

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