Vaccination of a multi-group model of zoonotic diseases with direct and indirect transmission
2019 ◽
Vol 12
(06)
◽
pp. 1950068
Keyword(s):
Vaccination plays an important role in preventing or reducing the spread of zoonotic diseases. In this paper, we develop a susceptible-vaccinated-exposed-infectious-pathogen multi-group epidemic model of zoonotic diseases incorporating nonlinear direct and indirect incidence rates, nonlinear pathogen shedding rates, and common environmental contamination. Under certain assumptions, we first obtained the basic reproduction number of the model. Then, we utilized the comparison principle and global Lyapunov function method to prove global stability of dynamical equilibria. Finally, we analyzed optimal vaccination strategy. All the theoretical predictions were verified by numerical simulations.
2015 ◽
Vol 09
(01)
◽
pp. 1650001
◽
2014 ◽
Vol 596
◽
pp. 552-559
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Keyword(s):
2009 ◽
Vol 23
(32)
◽
pp. 5949-5964
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2007 ◽
Vol 140
(6)
◽
pp. 832-849
◽
2017 ◽
Vol 7
(6)
◽
pp. 187-189