Neural Control for Epidemic Model of Covid-19 with a Complex Network Approach

Authors

Keywords:

Neural Network, COVID-19, complex network

Abstract

This paper presents the mathematical model Susceptible-Infected-Recovered SIR with parameters that describe the COVID-19 dynamics. This model is based on a system of ordinary differential equations in which appropriate conditions and starting parameter values such as transmission rates and recovery rates are assigned. These parameters are utilized to obtain a simulation of COVID-19 behavior, in order to establish a possible solution to avoid a greater chance of disease transmission. On the proposed scheme, we use a neural impulsive optimal inverse control for a complex network in which the dynamics of its nodes are discrete versions of the SIR model that describe the dynamics of COVID-19. The neuronal network is trained with an extended Kalman’s filter and is used as a neural identifier for the selected nodes of the system. The control law used represents a hypothetical treatment for COVID-19. This work aims to simulate the interaction of different populations during an epidemic outbreak in which populations are represented by the complex network nodes.

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Published

2020-09-16

Issue

Section

Special Issue on Fighting against COVID-19
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