We consider models for the spread of infectious diseases which include nonlinear population dynamics, contact rates which depend on total population size, and variable infective periods. We show that there is a single asymptotically stable equilibrium for diseases with recovery either with no immunity or with full immunity. This equilibrium is the disease-free equilibrium if the contact number is less than one and an endemic equilibrium if the contact number exceeds one.
|Original language||English (US)|
|Number of pages||10|
|Journal||Differential and Integral Equations|
|State||Published - Jan 1990|
ASJC Scopus subject areas
- Applied Mathematics