Mathematical Models and Control Methods of Infectious Diseases

Author(s):  
Yiwen Yang ◽  
Hanrui Zhang
2021 ◽  
Vol 10 (3) ◽  
Author(s):  
Shreya Nagunuri ◽  
William Tavernetti

In order to combat the spread of infectious diseases, scientists from a combination of fields have started to develop mathematical models to represent these diseases. With computer models and applied mathematics, one can predict and control various diseases. We present the evolution and implementation of different models used in mathematical modelling as well as a demonstration of the SIR model in MATLAB.


Author(s):  
Bukola Badeji–Ajisafe ◽  
Ajibade Idowu Victor ◽  
Ajibade Abimbola Omotola

Leprosy Infection (LI) is a long-term chronic infectious disease caused by the bacterium Mycobacterium leprae or Mycobacterium lepromatosis. This infectious disease has caused the public issue in many countries around the globe. The disease is prevalent among the adults, although there are now cases of the minor contacting this disease through household contact which is the primary source of infection such as (babysitters, neighbors). The emerging and reemerging diseases have led to a revived interest in infectious diseases in which mathematical models have become important tools in analyzing the spread and control of infectious diseases. Mathematical models are used in comparing, planning, implementing, evaluating and optimizing various detection, prevention therapy, and control programs, the model provides conceptual results such as threshold and basic reproduction number. In this paper, the Passive Immunity Pediatrics (M) - susceptible- Exposed-infected-recovered-susceptible (MSEIRS) model was adopted to depict the spread of infections in our environment.


Author(s):  
Markus Frischhut

This chapter discusses the most important features of EU law on infectious diseases. Communicable diseases not only cross borders, they also often require measures that cross different areas of policy because of different vectors for disease transmission. The relevant EU law cannot be attributed to one sectoral policy only, and thus various EU agencies participate in protecting public health. The key agency is the European Centre for Disease Prevention and Control. Other important agencies include the European Environment Agency; European Food Safety Authority; and the Consumers, Health, Agriculture and Food Executive Agency. However, while integration at the EU level has facilitated protection of the public's health, it also has created potential conflicts among the different objectives of the European Union. The internal market promotes the free movement of products, but public health measures can require restrictions of trade. Other conflicts can arise if protective public health measures conflict with individual human rights. The chapter then considers risk assessment and the different tools of risk management used in dealing with the challenges of infectious diseases. It also turns to the external and ethical perspective and the role the European Union takes in global health.


2021 ◽  
Vol 226 ◽  
pp. 108826
Author(s):  
Chenguang Liu ◽  
Junlin Qi ◽  
Xiumin Chu ◽  
Mao Zheng ◽  
Wei He

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