Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1232.34061
Buonomo, Bruno; Lacitignola, Deborah
On the dynamics of an SEIR epidemic model with a convex incidence rate. (English)
[J] Ric. Mat. 57, No. 2, 261-281 (2008). ISSN 0035-5038; ISSN 1827-3491/e

Summary: An SEIR epidemic model with a nonlinear incidence rate is studied. The incidence is assumed to be a convex function with respect to the infective class of a host population. A bifurcation analysis is performed and conditions ensuring that the system exhibits backward bifurcation are provided. The global dynamics is also studied, through a geometric approach to stability. Numerical simulations are presented to illustrate the results obtained analytically. This research is discussed in the framework of the recent literature on the subject.

MSC 2000:: *34C23 Bifurcation (periodic solutions)
34D23 Global stability
92D30 Epidemiology

Keywords: mathematical epidemiology; SEIR model; nonlinear incidence rate; backward bifurcation; Bendixson criterion

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]