Abstract

In this paper, a novel susceptible–infected–susceptible epidemic model with contagious incubation period is proposed by using the N-intertwined mean field approximation on directed and heterogeneous networks. Both continuous and impulsive strategies that consider the detection and identification of individuals in incubation period are studied. The impacts of the incubation period incorporating with the network topology and the effects of the strategies on the epidemic spreading process are discussed. We analyze the stability of disease-free equilibrium and obtain the corresponding sufficient conditions by means of Lyapunov–Razumikhin functions and inequality techniques. Numerical simulations are presented to illustrate and validate the theoretical analysis. These results provide some meaningful clues for the public health department to conduct appropriate and effective defensive measures to eradicate the epidemic in the crowd.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.