شماره ركورد كنفرانس :
4781
عنوان مقاله :
Optimal control of computer virus under a delayed model
پديدآورندگان :
Nemati Ali Department of Mathematics, University of Payame Noor, P.O.Box 19395-3697, Tehran, Iran , Saffar Ardabili Jamal Department of Mathematics, University of Payame Noor, P.O.Box 19395-3697, Tehran, Iran
كليدواژه :
Virus control , optimal control , Pontryagin’s minimum principle , Basic reproduction number.
عنوان كنفرانس :
يازدهمين كنفرانس بين المللي انجمن ايراني تحقيق در عمليات
چكيده فارسي :
An interested and applied topic as this paper focuses on, a deep insightful interesting case in virus control is provided. First, a mathematical model for virus control representation based on differential equation is formulated. Then by considering the differential equation description of the system, the stable points are computed. In the objective function, from a practical viewpoint, we assume to minimize not only the values of infected entities, concentrations at the end time and during the fixed time interval , but also the systemic costs of control treatments. At last, we provide the numerical simulation to find the optimal control of the problem.