Analysis of an SEIR-SEI four-strain epidemic dengue model with primary and secondary infections
نویسنده
چکیده
We propose an SEIR model for the populations and an SEI model for the vector to describe the transmission dynamics of a four-strain model with both primary and secondary dengue infections. In order to accomplish this, we propose and obtain an analytic solution of a system of 47 coupled differential equations. This would be the most complete epidemic model proposed to describe the dengue epidemic.
منابع مشابه
Inferring unobserved multistrain epidemic sub-populations using synchronization dynamics
A newmethod is proposed to infer unobserved epidemic sub-populations by exploiting the synchronization properties of multistrain epidemic models. A model for dengue fever is driven by simulated data from secondary infective populations. Primary infective populations in the driven system synchronize to the correct values from the driver system. Most hospital cases of dengue are secondary infecti...
متن کاملModeling dengue outbreaks.
We introduce a dengue model (SEIR) where the human individuals are treated on an individual basis (IBM) while the mosquito population, produced by an independent model, is treated by compartments (SEI). We study the spread of epidemics by the sole action of the mosquito. Exponential, deterministic and experimental distributions for the (human) exposed period are considered in two weather scenar...
متن کاملEstimation of Basic Reproduction Number R0 for SEIR Dengue Fever Model The Case of Dengue in Pakistan
In this paper, we mainly focus on the transmission of dengue fever with the aim of analyzing and comparing logistic and exponential curve that occurred in Lahore (Pakistan), in the year 2010–-2011. We obtain the force of infection, ˄, from the real data of Lahore, and then computed the basic reproduction number, R0. Based on the analysis of the behaviour of R0, we show that the disease is epide...
متن کاملEffect of the Seasonal Variation in the Extrinsic Incubation Period on the Long Term Behavior of the Dengue Hemorrhagic Fever Epidemic
The incidences of dengue hemorrhagic disease (DHF) over the long term exhibit a seasonal behavior. It has been hypothesized that these behaviors are due to the seasonal climate changes which in turn induce a seasonal variation in the incubation period of the virus while it is developing the mosquito. The standard dynamic analysis is applied for analysis the Susceptible-ExposedInfectious-Recover...
متن کاملVirus antibody dynamics in primary and secondary dengue infections.
Dengue viral infections show unique infection patterns arising from its four serotypes, (DENV-1,2,3,4). Its effects range from simple fever in primary infections to potentially fatal secondary infections. We analytically and numerically analyse virus dynamics and humoral response in a host during primary and secondary dengue infection for long periods using micro-epidemic models. The models pre...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2014