ABSTRACT. The non-uniform global spread of emergent infectious diseases of humans is closely interrelated with the large-scale structure of the human population, and the human mobility process in the population structure. The mobile population becomes the vector for the disease. We present an SIRS stochastic dynamic epidemic process in a two scale structured population. The variability caused b...

Lyapunov functions for two-dimension SIR and SIRS compartmental epidemic models with non-linear transmission rate of a very general form f(S, I) constrained by a few biologically feasible conditions are constructed. Global properties of these models including these with vertical and horizontal transmission, are thereby established. It is proved that, under the constant population size assumptio...

The traditional SIRS virus propagation model is used to analyze the malware behavior of wireless rechargeable sensor networks (WRSNs) by adding a new concept: low-energy status nodes. SIRS-L has been developed in this article. Furthermore, influence time delay during charging nodes needs be considered. Hopf bifurcation studied discussing that chosen as parameter. Finally, properties are explore...

Hepatic encephalopathy (HE) is a complication associated with worst prognosis in decompensated liver cirrhosis (LC) patients. Previous studies have identified prognostic factors for HE, and recent studies reported an association between systemic inflammatory response syndrome (SIRS) and liver disease. This study aimed to identify prognostic factors for 30-day mortality in alcoholic LC patients ...

*Correspondence: [email protected] 1College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, P.R. China 2State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao, P.R. China Full list of author information is availab...

We construct a nonstandard finite difference (NSFD) scheme for an SIRS mathematical model of respiratory virus transmission. This discretization is in full compliance with the NSFD methodology as formulated by R. E. Mickens. By use of an exact conservation law satisfied by the SIRS differential equations, we are able to determine the corresponding denominator function for the discrete first-ord...

Background:Today, with the coronavirus pandemic, the governments and international institutions are rapidly taking various approaches to infection control. In the meantime, the care of healthcare workers who are responsible for the health and treatment of patients is very important. The COVID-19 epidemic in China has achieved a great victory, and it is important to summarize the successful anti...