Backward bifurcation in simple SIS model

Autor:	Zhan-wei Wang
Rok vydání:	2008
Předmět:	Period-doubling bifurcation Transcritical bifurcation Pitchfork bifurcation Control theory Applied Mathematics Mathematical analysis Saddle-node bifurcation Bogdanov–Takens bifurcation Infinite-period bifurcation Bifurcation diagram Biological applications of bifurcation theory Mathematics
Zdroj:	Acta Mathematicae Applicatae Sinica, English Series. 25:127-136
ISSN:	1618-3932 0168-9673
Popis:	We describe and analyze a simple SIS model with treatment. In particular, we give a completely qualitative analysis by means of the theory of asymptotically autonomous system. It is found that a backward bifurcation occurs if the adequate contact rate or the capacity is small. It is also found that there exists bistable endemic equilibria. In the case of disease-induced death, it is shown that the backward bifurcation also occurs. Moreover, there is no limit cycle under some conditions, and the subcritical Hopf bifurcation occurs under another conditions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8c332e1de1a668c81d69cff4cd114000 https://doi.org/10.1007/s10255-006-6160-9 Zobrazit plný text záznamu Full text from SpringerLink