For a multigroup SEIR epidemiological model with nonlinear incidence rates, the basic reproduction number is identified. It is shown that, under certain group mixing patterns and nonlinearity and/or nonsmoothness in the incidence of infection, the basic reproduction number is a global threshold para
Global stability results of epidemiological models with nonlinear incidence rates
โ Scribed by D. Mukherjee; J. Chattopadhyay; P.K. Tapaswi
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 230 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we introduce a basic reproduction number for a multigroup epidemic model with nonlinear incidence. Then, we establish that global dynamics are completely determined by the basic reproduction number R 0 . It shows that, the basic reproduction number R 0 is a global threshold parameter
Stability of SIR models has been studied extensively within the framework of disease epidemiology. We formulate a nonlinear mathematical model to study the role of nonlinear incidence rates and the effect of time delay in a nonlinear logistically growing time delayed SIR model with variable populati