On the basic reproduction number in continuously structured populations
نویسندگان
چکیده
منابع مشابه
Further Notes on the Basic Reproduction Number
The basic reproduction number, R0 is a measure of the potential for disease spread in a population. Mathematically, R0 is a threshold for stability of a disease-free equilibrium and is related to the peak and final size of an epidemic. The purpose of these notes is to give a precise definition and algorithm for obtaining R0 for a general compartmental ordinary differential equation model of dis...
متن کاملDengue disease, basic reproduction number and control
Dengue is one of the major international public health concerns. Although progress is underway, developing a vaccine against the disease is challenging. Thus, the main approach to fight the disease is vector control. A model for the transmission of Dengue disease is presented. It consists of eight mutually exclusive compartments representing the human and vector dynamics. It also includes a con...
متن کاملEvaluation of the epidemiological pattern of COVID-19 applying basic reproduction number: An educational review article
After the onset of the COVID-19 outbreak in Wuhan, China, and its spread to other countries, confrontation with it as an international emergency in all countries was seriously on the agenda of governments. Our country was not immune to this outbreak. Effective measures to combat this new virus would be certainly based on a proper understanding of the epidemiological pattern and its evaluation i...
متن کاملBasic reproduction number for the transmission of Plasmodium vivax malaria.
The possibility of relapse is introduced into a mathematical model for the transmission of Plasmodium vivax malaria. In the model, the human population is divided into four classes: susceptible, infected, dormant and recovered. Loss of immunity by individuals in the recovered class moves these individuals back into the susceptible class. Two equilibrium states are found, a disease-free state an...
متن کاملOn a new perspective of the basic reproduction number in heterogeneous environments.
Although its usefulness and possibility of the well-known definition of the basic reproduction number R0 for structured populations by Diekmann, Heesterbeek and Metz (J Math Biol 28:365-382, 1990) (the DHM definition) have been widely recognized mainly in the context of epidemic models, originally it deals with population dynamics in a constant environment, so it cannot be applied to formulate ...
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: Mathematical Methods in the Applied Sciences
سال: 2020
ISSN: 0170-4214,1099-1476
DOI: 10.1002/mma.6787