A theoretical study on mathematical modelling of an infectious disease with application of optimal control

In this paper, we propose and analyze an epidemic problem which can be controlled by vaccination as well as treatment. In the first part of our analysis we study the dynamical behavior of the system with fixed control for both vaccination and treatment. Basic reproduction number is obtained in all p...

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Veröffentlicht in:	BioSystems 2013-01, Vol.111 (1), p.37-50
Hauptverfasser:	Kar, T.K., Jana, Soovoojeet
Format:	Artikel
Sprache:	eng
Schlagworte:	Communicable Disease Control - methods Communicable Diseases - drug therapy Communicable Diseases - epidemiology Communicable Diseases - transmission Computer Simulation Epidemic model Epidemiologic Methods Global stability Humans Models, Biological Optimal control Time Factors Transcritical bifurcation Treatment Vaccination
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