Nonautonomous SEIRS and Thron models for epidemiology and cell biology
| Autor: | Gerd Herzog, Ray Redheffer |
|---|---|
| Rok vydání: | 2004 |
| Předmět: |
Constant coefficients
education.field_of_study Applied Mathematics Population General Engineering General Medicine Limiting Cell biology Computational Mathematics Nonlinear system Infectious disease (medical specialty) Quantitative Biology::Populations and Evolution education General Economics Econometrics and Finance Analysis Mathematics |
| Zdroj: | Nonlinear Analysis: Real World Applications. 5:33-44 |
| ISSN: | 1468-1218 |
| DOI: | 10.1016/s1468-1218(02)00075-5 |
| Popis: | Remarks on positivity of certain vector-valued functions are applied to the SEIRS equations for infectious disease and to a nonlinear system recently introduced in connection with cell biology by Dr. Dennis Thron. In both cases the formerly constant coefficients are replaced by functions of time, and in both cases we give conditions under which the solutions exist globally and are positive. For the nonautonomous SEIRS equations conditions are also given which ensure that the limiting population as t →∞ contains susceptible individuals only, hence is disease-free. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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