Time delay in non-lethal infectious diseases
نویسنده
چکیده
The effects of the incubation period q on the dynamics of non-lethal infectious diseases in a fixed-size population are studied by means of a delay differential equation model. It is noted that the ratio between the quantity q and the time τ for recovering from the illness plays an important role in the onset of the epidemic breakthrough. An approximate analytic expression for the solution of the delay differential equation governing the dynamics of the system is proposed and a comparison is made with the classical SEIR model.
منابع مشابه
Time Evolution of Non-Lethal Infectious Diseases: A Semi-Continuous Approach
A model describing the dynamics related to the spreading of non-lethal infectious diseases in a fixed-size population is proposed. The model consists of a non-linear delay-differential equation describing the time evolution of the increment in the number of infectious individuals and depends upon a limited number of parameters. Predictions are in good qualitative agreement with data on influenz...
متن کاملNumerical solution of the spread of infectious diseases mathematical model based on shifted Bernstein polynomials
The Volterra delay integral equations have numerous applications in various branches of science, including biology, ecology, physics and modeling of engineering and natural sciences. In many cases, it is difficult to obtain analytical solutions of these equations. So, numerical methods as an efficient approximation method for solving Volterra delay integral equations are of interest to many res...
متن کاملTime Delay and Associated Factors in Diagnosis and Treatment of Pulmonary Tuberculosis in Markazi Province
Introduction: Delay in the diagnosis of tuberculosis increases the risk of death and enhances the transmission of disease in the community. This study aims to determine the patient and health service delay and factors affecting it in tuberculosis diagnosis. Materials & Methods: A cross-sectional survey that included all the public health centers was conducted in Markazi province from March 200...
متن کاملIn Vitro Assessment of The Effects of Althaea Officinalis Root Extract on Rotavirus Multiplication
Background and Aims: Medicinal plants possess a variety of beneficial characteristics without causing substantial adverse effects. Antimicrobial activity is one of the qualities, among many others, that have been identified. Althaea officinalis is an annual plant belonging to the Malvaceae family with therapeutic qualities in both the leaves and the roots. Specifically, the effects of Althaea o...
متن کاملIn vitro lethal effects of various extracts of Nigella sativa seed on hydatid cyst protoscoleces
Objective(s): There are several scolicidal agents for inactivation of hydatid cyst protoscolices during surgery, but most of them are associated with adverse side effects such as sclerosing cholangitis and liver necrosis. The present study was aimed to evaluate scolicidal effects of various extracts of Nigella sativa seeds againstprotoscoleces of hydatid cyst in an in vitro model. Materials and...
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 2013