TY - JOUR

T1 - Optimal Control in the Network Model of Bi-virus Propagation

AU - Liu , Xiuxiu

AU - Gubar, Elena

N1 - Xiuxiu , L., & Gubar, E. (2023). Optimal Control in the Network Model of Bi-virus Propagation. Contributions to Game Theory and Management, 15, 265-286. Retrieved from https://gametheory.spbu.ru/article/view/15261

PY - 2022

Y1 - 2022

N2 - This thesis is devoted to the spread of virus in human society. First, we modified the original basic epidemiological model, and divide the system into M different types. The optimal control problem is formulated for the changes of compartments in different states. The total cost is then minimized, the Pontryagin maximum principle is used to solve this nonlinear optimal control problem. Next, we prove that the optimal policy has the simple structure. Finally, we fit the propagation process of this model using Matlab. Consider the situation where there are only two types of virus in the system, and compare the two types of virus appear at the same time and at different times.

AB - This thesis is devoted to the spread of virus in human society. First, we modified the original basic epidemiological model, and divide the system into M different types. The optimal control problem is formulated for the changes of compartments in different states. The total cost is then minimized, the Pontryagin maximum principle is used to solve this nonlinear optimal control problem. Next, we prove that the optimal policy has the simple structure. Finally, we fit the propagation process of this model using Matlab. Consider the situation where there are only two types of virus in the system, and compare the two types of virus appear at the same time and at different times.

KW - optimal control

KW - virus propagation

KW - epidemic model

M3 - Article

VL - 15

SP - 265

EP - 286

JO - Contributions to Game Theory and Management

JF - Contributions to Game Theory and Management

SN - 2310-2608

ER -