منابع مشابه
Research 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.
متن کاملBehavior of a Discrete SIR Epidemic Model
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...
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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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The mathematical theory of single outbreak epidemic models really began with the work of Kermack and Mackendrick about decades ago. This gave a simple answer to the long-standing question of why epidemics woould appear suddenly and then disappear just as suddenly without having infected an entire population. Therefore it seemed natural to expect that theoreticians would immediately proceed to e...
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Set constraints are inclusions between expressions denoting sets of trees. They have been used extensively for type inference and program analysis. At the lower end of the expressiveness scale there are atomic set constraints and Ines constraints (inclusions over non-empty sets) for both of which a cubic time satissability test is known. Recently, there has been increasing interest in entailmen...
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2008
ISSN: 1742-6596
DOI: 10.1088/1742-6596/96/1/012115