Asymptotic behavior of an SEIR epidemic model with quadratic treatment

Autor:	Yu-Ying He, Shu-Jing Gao, Yu-Jiang Liu, Hengmin Lv
Rok vydání:	2012
Předmět:	Computational Mathematics Complex dynamics Mathematical optimization Quadratic equation Applied Mathematics Theory of computation Applied mathematics Function (mathematics) Epidemic model Stability (probability) Disease transmission Mathematics
Zdroj:	Journal of Applied Mathematics and Computing. 42:245-257
ISSN:	1865-2085 1598-5865
DOI:	10.1007/s12190-012-0617-1
Popis:	Treatment is of great importance in fighting against infectious diseases. In this paper, we investigate a disease transmission model of SEIR type with quadratic treatment function. We consider r as the parameter which describes the societal effort to fight the infection. It is found that the system has four possible equilibria when r changes. Moreover, the existence and stability of equilibria of the model are discussed. Finally, the complex dynamics of the system are displayed by numerical simulations such as bi-stability, backward bifurcations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b2a05e0db53b375f2c2ab9f976521619 https://doi.org/10.1007/s12190-012-0617-1 Zobrazit plný text záznamu Full text from SpringerLink