Globally stable vaccine-induced eradication of horizontally and vertically transmitted infectious diseases with periodic contact rates and disease-dependent demographic factors in the population |
| |
Authors: | Alberto d Onofrio |
| |
Affiliation: | Epidemiology and Biostatistics Division, European Institute of Oncology, Via G. Ripamonti 435, I-20141, Milan, Italy |
| |
Abstract: | Within the framework of SEIR-like epidemic models, we studied the conditions for the stable eradication of some families of vertically and horizontally transmitted infectious diseases in the case of periodically varying contact rate. By means of Floquet’s theory, we found a condition for the eradication solution to be locally asymptotically stable. We then demonstrated that the same condition guarantees also that this vaccine-induced disease-free solution is globally asymptotically stable. A model with interacting populations is also considered. In the final part of this work, we extended the model by taking into account the variation of population size, the impact of disease-related deaths and reduction of fertility. |
| |
Keywords: | Epidemic and vaccination models Stability theory Cooperative dynamical systems Floquet theory |
本文献已被 ScienceDirect 等数据库收录! |
|