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Global analysis of a delay SVEIR epidemiological model | ||
| Iranian Journal of Science | ||
| مقاله 9، دوره 37، شماره 4، اسفند 2013، صفحه 483-489 اصل مقاله (295.95 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2013.1786 | ||
| نویسندگان | ||
| N. Farajzadeh Tehrani* 1؛ M. R. Razvan2؛ S. Yasaman2 | ||
| 1Department of Mathematical Sciences, Sharif University of Technology, P.O. Box 11155-9415, Tehran, Iran | ||
| 2School of Mathematics, Institute for Research in Fundamental Sciences (IPM) | ||
| چکیده | ||
| This paper is concerned with global analysis of a delay SVEIR epidemiological model in a population of varying size. By using Lyapunov stability method and LaSalle’s invariance principle for delay systems, we prove that when there is no endemic equilibrium, the disease free equilibrium is globally asymptotically stable, otherwise the endemic equilibrium is globally stable. | ||
| کلیدواژهها | ||
| SVEIR epidemiological model؛ delay differential equation؛ disease free equilibrium؛ endemic equilibrium؛ lyapunov functional | ||
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