SIQR dynamics in a random network with heterogeneous connections with infection age

Abstract

In this paper, an SIQR-Epidemic transmission model of the non-Markovian infection process and quarantine process in a heterogeneous complex network is established, in which the infection rate and quarantine rate are related to infection age. Next, we use the method of characteristics to transform the model into an integro-differential equation and derive the epidemic threshold of the model. Finally, we focus on the impact of three different infection or quarantine time distributions on the disease transmission and show that infection or quarantine time distribution has a significant effect on the disease dynamics.

A Fuzzy Random Boundary Value Problem

“…Therefore, every fixed point of the random operator (RO) F is also a random point (RP) such as the Λ-MM z : Γ → X (z(γ) = F(γ, z(γ)) for every γ ∈ Γ). Our results can extend some recent ones and improve them to obtain new results (see [12][13][14][15][16][17]).…”

Genetic Approach for Joint Transmission Grouping in Next-Generation Cellular Networks

“…Notably, we consider equal power allocation which can be replaced by any power allocation algorithm. Some studies investigated adaptive feedback schemes in neural networks [ 26 , 27 , 28 ].…”