in this paper at rst, a history of mathematical models is given.next, some basic information about random variables, stochastic processesand markov chains is introduced. as follows, the entropy for a discrete timemarkov process is mentioned. after that, the entropy for sis stochastic modelsis computed, and it is proved that an epidemic will be disappeared after a longtime.

Mathematical models of the epidemic have been developed and researched to predict development COVID-19 coronavirus on thebasis information technology for optimizing complex dynamic systems. epidemics SIR, SIRS, SEIR, SIS, MSEIR in theform nonlinear systems differential equations are considered analysis use mathematical research ofepidemic is carried out. Based statistics Kharkiv region, theinit...

This paper studies the effect of using different types of seasonally varying contact rate on the behaviour of the seasonally varying infectious diseases for an SEIR epidemic model. Our target is to investigate the long term behaviour of the system in response to changes in beta(1), the amplitude parameter of the seasonal contact rate, which is our bifurcation parameter. This amplitude parameter...

The effectiveness of control measures against the diffusion COVID-19 pandemic is grounded on assumption that people are prepared and disposed to cooperate. From a strategic decision point view, cooperation unreachable strategy prisoner’s dilemma game, where temptation exploit others fear be betrayed by them drives behavior, which eventually results fully defective. In this work, we integrate SI...

We study seasonal epidemic spreading in a susceptible-infected-removed-susceptible (SIRS) model on smallworld graphs. derive mean-field description that accurately captures the salient features of model, most notably phase transition between annual and biennial outbreaks. A numerical scaling analysis exhibits diverging autocorrelation time thermodynamic limit, which confirms presence classical ...

background the evidence saying that the rate of systemic inflammatory response syndrome (sirs) is high in patients with advanced cirrhosis and portal hypertension, this could have negative outcome on patients prognosis. methods this prospective study included 109 cirrhotic patients who were admitted to imam khomeini hospital, affiliated with orumieh university of medical sciences, during 2011-2...