Delayed SIR Epidemic Models for Vector Diseases?

摘要: The purpose of the chapter is to give a survey on recent researches SIR models with time delays for epidemics which spread in human population via vector. Based Hethcote model and Cooke’s SIS delay, we introduce constant size. Further, are modified such way that death rates three classes different. Finally, revised assume birth rate not independent total For all models, summarize known mathematical results stability equilibria permanence. We also some open problems our conjectures threshold an epidemic occur.