Global stability of the endemic equilibrium and uniform persistence in epidemic models with subpopulations
نویسندگان
چکیده
منابع مشابه
Global Stability of the Endemic Equilibrium of Multigroup Sir Epidemic Models
ABSTRACT. For a class of multigroup SIR epidemic models with varying subpopulation sizes, we establish that the global dynamics are completely determined by the basic reproduction number R0. More specifically, we prove that, if R0 ≤ 1, then the disease-free equilibrium is globally asymptotically stable; if R0 > 1, then there exists a unique endemic equilibrium and it is globally asymptotically ...
متن کاملGlobal stability and uniform persistence of the reaction-convection-diffusion cholera epidemic model.
We study the global stability issue of the reaction-convection-diffusion cholera epidemic PDE model and show that the basic reproduction number serves as a threshold parameter that predicts whether cholera will persist or become globally extinct. Specifically, when the basic reproduction number is beneath one, we show that the disease-free-equilibrium is globally attractive. On the other hand, ...
متن کاملGlobal stability of the endemic equilibrium of a discrete SIR epidemic model
*Correspondence: [email protected] 1Department of Applied Mathematics, Xi’an Jiaotong University, Xi’an, 710049, China Full list of author information is available at the end of the article Abstract The basic reproductive number R0 of a discrete SIR epidemic model is defined and the dynamical behavior of the model is studied. It is proved that the disease free equilibrium is globally asympto...
متن کاملGlobal stability of the endemic equilibrium of multigroup SIR models with nonlinear incidence
In this paper, we introduce a basic reproduction number for a multigroup epidemic model with nonlinear incidence. Then, we establish that global dynamics are completely determined by the basic reproduction number R0. It shows that, the basic reproduction number R0 is a global threshold parameter in the sense that if it is less than or equal to one, the disease free equilibrium is globally stabl...
متن کاملGlobal Stability in Some Seir Epidemic Models
The dynamics of many epidemic models for infectious diseases that spread in a single host population demonstrate a threshold phenomenon If the basic reproduction number R is below unity the disease free equilibrium P is globally stable in the feasible region and the disease always dies out If R a unique endemic equilibrium P is globally asymptotically stable in the interior of the feasible regi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
سال: 1993
ISSN: 0334-2700,1839-4078
DOI: 10.1017/s0334270000008900