Haiyin Li, Zhikun She
Abstract:
In this article, we study the dynamics of a density-dependent
predator-prey system of Beddington-DeAngelis type. We obtain
sufficient and necessary conditions for the existence
of a unique positive equilibrium, the global attractiveness of the
boundary equilibrium, and the permanence of the system, respectively.
Moreover, we derive a sufficient condition for the locally asymptotic
stability of the positive equilibrium by the Lyapunov function theory
and a sufficient condition for the global attractiveness of the positive
equilibrium by the comparison theory.
Submitted November 16, 2013. Published September 16, 2014.
Math Subject Classifications: 34D23, 92D25.
Key Words: Density dependence; global attractiveness; omega-limit set; permanence.
Show me the PDF file (284 KB), TEX file, and other files for this article.
Haiyin Li LMIB and School of Mathematics and Systems Science Beihang University, Beijing, China email: lihaiyin2013@163.com | |
Zhikun She SKLSDE, LMIB and School of Mathematics and Systems Science Beihang University, Beijing, China email: zhikun.she@buaa.edu.cn |
Return to the EJDE web page