𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Permanence and periodic solutions for a diffusive ratio-dependent predator–prey system

✍ Scribed by Xiuxiang Liu; Lihong Huang


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
180 KB
Volume
33
Category
Article
ISSN
0307-904X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Permanence and extinction for a nonlinea
✍ Jinxian Li; Jurang Yan 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 1004 KB

In this paper, we consider a non-autonomous predator-prey system in a poor patchy environment. Under the assumption that the intrinsic growth rates of the species may be negative, sufficient conditions are obtained for the permanence and extinction of the system considered.

Positive periodic solutions in generaliz
✍ Xiaoquan Ding 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 170 KB

By using a continuation theorem based on coincidence degree theory, we establish easily verifiable criteria for the existence of periodic solutions in generalized ratio-dependent predator-prey systems. Some known results are shown to be special cases of the presented paper.

Permanence of periodic predator–prey sys
✍ Can-Yun Huang; Min Zhao; Li-Chun Zhao 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 697 KB

A stage-structured three-species predator-prey system with Beddington-DeAngelis and Holling IV functional response is proposed and analyzed. Based on the comparison theorem, some sufficient and necessary conditions are derived for permanence of the system. Finally, two examples are presented to illu