Bifurcations for a deterministic SIR epidemic model in discrete time
نویسندگان
چکیده
منابع مشابه
Behavior 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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Discrete-time models, or difference equations, of some well-known SI, SIR, and SIS epidemic models are considered. The discrete-time SI and SIR models give rise to systems of nonlinear difference equations that are similar in behavior to their continuous analogues under the natural restriction that solutions to the discrete-time models be positive. It is important that the entire system be cons...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2014
ISSN: 1687-1847
DOI: 10.1186/1687-1847-2014-168