Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1238.37040
Liu, Bing; Duan, Ying; Luan, Shi
Dynamics of an SI epidemic model with external effects in a polluted environment. (English)
[J] Nonlinear Anal., Real World Appl. 13, No. 1, 27-38 (2012). ISSN 1468-1218

Summary: In a polluted environment, considering the biological population infected with some kinds of diseases and hunted by human beings, we formulate two SI pollution-epidemic models with continuous and impulsive external effects, respectively, and investigate the dynamics of such systems. We assume that only the susceptible population is hunted by human beings. For the continuous system, we obtain sufficient conditions of the ultimate boundedness of solutions and the global asymptotical stability of equilibria. For the impulsive system, by using the comparison theorem and the analysis method, we show that under different conditions the disease-free periodic solution is globally asymptotically attractive, or the system is permanent. Numerical simulations confirm our theoretical results.

MSC 2000:: *37N25 Dynamical systems in biology
92D30 Epidemiology
92-08 Computational methods (appl. to natural sciences)

Keywords: pollution-epidemic model; impulsive pollution input; global asymptotical stability; extinction; permanence

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