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Conditions for Global Attractivity of n-Patches Predator–Prey Dispersion-Delay Models

✍ Scribed by Xinyu Song; Lansun Chen

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
107 KB
Volume
253
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper, a nonautonomous predator᎐prey dispersion model with functional response and continuous time delay is studied, where all parameters are time dependent. In this system, which consists of n-patches, the prey species can disperse among n-patches, but the predator species is confined to one patch and cannot disperse. It is proved the system is uniformly persistent under any dispersion rate effect. Furthermore, the sufficient conditions are established for global attractivity of a periodic solution of the system.

📜 SIMILAR VOLUMES

Periodic solutions of two-patches predat
Periodic solutions of two-patches predator-prey dispersion models with continuous delays
✍ Zhengqiu Zhang; Zhicheng Wang 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 144 KB

## Abstract By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for the two‐patches predator‐prey dispersion models with continuous delays is established. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)