# On the dynamics of a vaccination model with multiple transmission ways

International Journal of Applied Mathematics and Computer Science (2013)

- Volume: 23, Issue: 4, page 761-772
- ISSN: 1641-876X

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topShu Liao, and Weiming Yang. "On the dynamics of a vaccination model with multiple transmission ways." International Journal of Applied Mathematics and Computer Science 23.4 (2013): 761-772. <http://eudml.org/doc/262342>.

@article{ShuLiao2013,

abstract = {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.},

author = {Shu Liao, Weiming Yang},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {vaccination model; stability; equilibrium},

language = {eng},

number = {4},

pages = {761-772},

title = {On the dynamics of a vaccination model with multiple transmission ways},

url = {http://eudml.org/doc/262342},

volume = {23},

year = {2013},

}

TY - JOUR

AU - Shu Liao

AU - Weiming Yang

TI - On the dynamics of a vaccination model with multiple transmission ways

JO - International Journal of Applied Mathematics and Computer Science

PY - 2013

VL - 23

IS - 4

SP - 761

EP - 772

AB - 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.

LA - eng

KW - vaccination model; stability; equilibrium

UR - http://eudml.org/doc/262342

ER -

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