Stochastic Epidemic SEIRS Models with a Constant Latency Period
نویسندگان
چکیده
منابع مشابه
Dynamics of a Delayed Epidemic Model with Beddington-DeAngelis Incidence Rate and a Constant Infectious Period
In this paper, an SIR epidemic model with an infectious period and a non-linear Beddington-DeAngelis type incidence rate function is considered. The dynamics of this model depend on the reproduction number R0. Accurately, if R0 < 1, we show the global asymptotic stability of the disease-free equilibrium by analyzing the corresponding characteristic equation and using compa...
متن کاملAn SEIR epidemic model with constant latency time and infectious period.
We present a two delays SEIR epidemic model with a saturation incidence rate. One delay is the time taken by the infected individuals to become infectious (i.e. capable to infect a susceptible individual), the second delay is the time taken by an infectious individual to be removed from the infection. By iterative schemes and the comparison principle, we provide global attractivity results for ...
متن کاملStochastic Models for Pricing Weather Derivatives using Constant Risk Premium
‎Pricing weather derivatives is becoming increasingly useful‎, ‎especially in developing economies‎. ‎We describe a statistical model based approach for pricing weather derivatives by modeling and forecasting daily average temperatures data which exhibits long-range dependence‎. ‎We pre-process the temperature data by filtering for seasonality and volatility an...
متن کاملStochastic epidemic models: a survey.
This paper is a survey paper on stochastic epidemic models. A simple stochastic epidemic model is defined and exact and asymptotic (relying on a large community) properties are presented. The purpose of modelling is illustrated by studying effects of vaccination and also in terms of inference procedures for important parameters, such as the basic reproduction number and the critical vaccination...
متن کاملStochastic Epidemic Models
The present work concerns models of epidemic which are described by differential and stochastic differential equations. The theorems on the existence, uniqueness and properties of their solutions are stated. Introduction In nature, there are many diseases which can cause epidemics. Therefore it is useful to model the behavior of these diseases in order to control their progression. In this pape...
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: Mediterranean Journal of Mathematics
سال: 2017
ISSN: 1660-5446,1660-5454
DOI: 10.1007/s00009-017-0977-8