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Modeling the dynamics of an epidemic under vaccination in two interacting populations
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نویسنده
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ahmed i.h.i. ,witbooi p.j. ,patidar k.
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منبع
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journal of applied mathematics - 2012 - دوره : 2012 - شماره : 0
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چکیده
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We present a model for an sir epidemic in a population consisting of two components - locals and migrants. we identify three equilibrium points and we analyse the stability of the disease free equilibrium. then we apply optimal control theory to find an optimal vaccination strategy for this 2-group population in a very simple form. finally we support our analysis by numerical simulation using the fourth order runge-kutta method. copyright © 2012 ibrahim h. i. ahmed et al.
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آدرس
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department of mathematics and applied mathematics,university of the western cape,private bag x17, South Africa, department of mathematics and applied mathematics,university of the western cape,private bag x17, South Africa, department of mathematics and applied mathematics,university of the western cape,private bag x17, South Africa
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Authors
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