Demographic stochasticity in the SDE SIS epidemic model
نویسندگان
چکیده
منابع مشابه
Demographic Stochasticity in the SDE SIS Epidemic Model
In this paper we discuss the stochastic differential equation (SDE) susceptibleinfected-susceptible (SIS) epidemic model with demographic stochasticity. First we prove that the SDE has a unique nonnegative solution which is bounded above. Then we give conditions needed for the solution to become extinct. Next we use the Feller test to calculate the respective probabilities of the solution first...
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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.
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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.
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We consider a stochastic SIS model for the spread of an epidemic amongst a population of n individuals that are equally spaced upon the circumference of a circle. Whilst infectious, an individual, i say, makes both local and global infectious contacts at the points of homogeneous Poisson point processes. Global contacts are made uniformly at randomwithmembers of the entire population, whilst lo...
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems - Series B
سال: 2015
ISSN: 1531-3492
DOI: 10.3934/dcdsb.2015.20.2859