Dynamic stability and optimal control of SIS q I q RS epidemic network.
Chaos Solitons Fractals
; 163: 112562, 2022 Oct.
Article
in English
| MEDLINE | ID: covidwho-2308517
ABSTRACT
We develop a complex network-based SIS q I q RS model, calculate the threshold R 0 of infectious disease transmission and analyze the stability of the model. In the model, three control measures including isolation and vaccination are considered, where the isolation is structured in isolation of susceptible nodes and the isolation of infected nodes. We regard these three kinds of controls as time-varying variables, and obtain the existence and the solution of the optimal control by using the optimal control theory. With regard to the stability of the model, sensitivity analysis of the parameters and optimal control, we carry out numerical simulations. From the simulation results, it is obvious that when the three kinds of controls exist simultaneously, the scale and cost of the disease are minimal. Finally, we fit the real data of COVID-19 to the numerical solution of the model.
Full text:
Available
Collection:
International databases
Database:
MEDLINE
Topics:
Vaccines
Language:
English
Journal:
Chaos Solitons Fractals
Year:
2022
Document Type:
Article
Affiliation country:
J.chaos.2022.112562
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