Global Stability of Multigroup Dengue Disease Transmission Model
نویسندگان
چکیده
منابع مشابه
Global Stability of Multigroup Dengue Disease Transmission Model
We investigate a class of multigroup dengue epidemic model. We show that the global dynamics are determined by the basic reproductive number R0. We present that when R0 ≤ 1, there is a unique disease-free equilibrium which is globally asymptotically stable; when R0 > 1, there exists a unique endemic equilibrium and it is globally asymptotically stable proved by a graph-theoretic approach to the...
متن کاملGlobal stability of multigroup epidemic model with group mixing and nonlinear incidence rates
In this paper, we introduce a basic reproduction number for a multigroup SEIR model with nonlinear incidence of infection and nonlinear removal functions between compartments. 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 o...
متن کاملDengue Disease in Thailand and Mathematical Model for Dynamical Transmission of Dengue Disease
In this paper, we proposed the historical data of dengue disease in Thailand. The reported case and death due to dengue disease are presented by total number, region, month, age, and occupation. The mathematical model is the key to analyze dengue disease which can investigate the reproductive number in order to control the outbreak. At the current, the best way to control the outbreak is contro...
متن کاملStability analysis of the transmission dynamics of an HBV model
Hepatitis B virus (HBV) infection is a major public health problem in the world today. A mathematical model is formulated to describe the spread of hepatitis B, which can be controlled by vaccination as well as treatment. We study the dynamical behavior of the system with fixed control for both vaccination and treatment. The results shows that the dynamics of the model is completely de...
متن کاملMathematical Model of Dengue Disease Transmission with Severe DHF Compartment
An SIR model for dengue disease transmission is discussed here. It is assumed that two viruses namely strain 1 and strain 2 cause the disease and long lasting immunity from infection caused by one virus may not be valid with respect to a secondary infection by the other virus. Our interest here is to derive and analyse the model taking into account the severe DHF compartment in the transmission...
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: Journal of Applied Mathematics
سال: 2012
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2012/342472