𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hopf bifurcation of a predator–prey system with stage structure and harvesting

✍ Scribed by Zhihao Ge; Jingjing Yan


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
235 KB
Volume
74
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Traveling wavefronts of a prey–predator
✍ Xinyuan Liao; Yuming Chen; Shengfan Zhou 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 302 KB

From a biological point of view, we consider a prey-predator-type free diffusion fishery model with stage-structure and harvesting. First, we study the stability of the nonnegative constant equilibria. In particular, the effect of harvesting on the stability of equilibria is discussed and supported

A ratio-dependent predator–prey model wi
✍ Liming Cai; Xuezhi Li; Jingyuan Yu; Guangtian Zhu 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 194 KB

## Abstract In this paper, a ratio‐dependent predator–prey model with stage structure and harvesting is investigated. Mathematical analyses of the model equations with regard to boundedness of solutions, nature of equilibria, permanence and stability are performed. By constructing appropriate Lyapu

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