Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1170.34034
Xue, Yakui; Kang, Aihua; Jin, Zhen
The existence of positive periodic solutions of an eco-epidemic model with impulsive birth. (English)
[J] Int. J. Biomath. 1, No. 3, 327-337 (2008). ISSN 1793-5245; ISSN 1793-7159/e

The paper deals with an epidemiological predator-prey model with periodic coefficients and impulsive birth, where the predator population is split into two groups, susceptible and infected. Sufficient conditions for existence of at least one positive periodic solution are derived by using Mawhin's coincidence degree for $L$-compact mappings. The authors claim that the conditions are easily verifiable, although applications are not discussed in the paper. The conclusion ``we can protect the infected predator from extinction by periodically changing the periodic environmental factors, such as, the period of birth, and then prevent the predator from increasing'' sounds unfounded from the biological point of view.
[Svitlana P. Rogovchenko (Kalmar)]

MSC 2000:: *34C60 Applications of qualitative theory of ODE
47N20 Appl. of operator theory to differential and integral equations
34A37 Differential equations with impulses
34C25 Periodic solutions of ODE
92D25 Population dynamics
92D30 Epidemiology

Keywords: periodic solutions; predator-prey model; infected and susceptible predators; existence; coincidence degree; impulsive birth

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]