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Analysis of a predator–prey model with modified Holling–Tanner functional response and time delay

✍ Scribed by Zhiqi Lu; Xia Liu

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
184 KB
Volume
9
Category
Article
ISSN
1468-1218

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✦ Synopsis

In paper, a predator-prey model with modified Holling-Tanner functional response and time delay is discussed. It is proved that the system is permanent under some appropriate conditions. The local stability of the equilibria is investigated. By constructing a suitable Lyapunov functional, sufficient conditions are derived for the global stability of the positive equilibrium of the model.

📜 SIMILAR VOLUMES

A strongly coupled predator–prey system
A strongly coupled predator–prey system with modified Holling–Tanner functional response
✍ Jianjun Li; Wenjie Gao 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 334 KB

In this paper, a strongly coupled system of partial differential equations in a bounded domain with the homogeneous Neumann boundary condition which models a predator-prey system with modified Holling-Tanner functional response is considered. First, the authors study the stability of the positive co