منابع مشابه
ON THE STABILITY AND THRESHOLD ANALYSIS OF AN EPIDEMIC MODEL
We consider a mathematical model of epidemic spread in which the population is partitioned into five compartments of susceptible S(t), Infected I(t), Removed R(t), Prevented U(t) and the Controlled W(t). We assume each of the compartments comprises of cohorts of individuals which are identical with respect to the disease status. We derive five systems of equations to represent each of the ...
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I. Introduction Infections and infectious diseases are a great burden on many societies, including the countries. An epidemic may be described as a sudden outbreak of a disease that infects a substantial portion of the population in a region before it disappears. In the nineteenth century, recurrent waves of cholera killed millions in India. The influenza epidemic of 1918-1919 killed at least 2...
متن کاملResearch Article On a Discrete Epidemic Model
The necessity for some techniques which can be used in investigating equations arising in mathematical models describing real-life situations in population biology and economics has increased the interest in studying nonlinear and rational difference equations for the last four decades, see, for example, [1–23] and the references therein. In [8] the authors proposed the following research project.
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چکیده ندارد.
A Nonautonomous Discrete Epidemic Model with Isolation
For a nonautonomous discrete SIQR model, we obtain conditions for permanence and extinction of the disease and we establish the global asymptotical stability when our conditions determine extinction. We also discuss the particular autonomous and periodic situations, where our conditions are sharp thresholds between permanence and extinction of the disease. AMS Subject Classifications: 92D30, 37...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 1989
ISSN: 0895-7177
DOI: 10.1016/0895-7177(89)90452-4