On the dynamics of a vaccination model with multiple transmission ways

• Autorzy: Shu Liao , Weiming Yang
• Języki publikacji: EN

Abstrakty

EN

In this paper, we present a vaccination model with multiple transmission ways and derive the control reproduction number. The stability analysis of both the disease-free and endemic equilibria is carried out, and bifurcation theory is applied to explore a variety of dynamics of this model. In addition, we present numerical simulations to verify the model predictions. Mathematical results suggest that vaccination is helpful for disease control by decreasing the control reproduction number below unity.

Słowa kluczowe

EN

vaccination model; stability; equilibrium

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2013
• Tom: 23
• Numer: 4
• Strony: 761-772

Daty

wydano

2013

otrzymano

2013-01-23

poprawiono

2013-06-16

poprawiono

2013-07-31

Twórcy

autor

Shu Liao

• School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, China

autor

Weiming Yang

• School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, China

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Identyfikatory

DOI

10.2478/amcs-2013-0057