A SIS epidemic model incorporating media coverage is presented in this paper. The dynamics of this disease model under constant and pulse vaccination are analyzed. First, stability analysis of the model with constant vaccination shows that the disease free equilibrium is globally asymptotically stab
Monotonicity Properties of the SIS and SIR Epidemic Models
β Scribed by D. Siegel; H. Kunze
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 535 KB
- Volume
- 185
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
## a b s t r a c t We study the maximum number of infected individuals observed during an epidemic for a Susceptible-Infected-Susceptible (SIS) model which corresponds to a birth-death process with an absorbing state. We develop computational schemes for the corresponding distributions in a transie
The differential susceptibility SIR epidemic model with stage structure and pulse vaccination is introduced. By the comparison theorem, some sufficient conditions for the globally attractivity of an infection-free periodic solution and the permanence of this system are presented. Two numerical simul
## Abstract We describe an SIR epidemic model with a discrete time lag, analyse the local stability of its equilibria as well as the effects of delay on the reproduction number and on the dynamical behaviour of the system. The model has two equilibriaβa necessary condition for local asymptotic stab