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Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes

✍ Scribed by M.A. Aziz-Alaoui; M. Daher Okiye

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
414 KB
Volume
16
Category
Article
ISSN
0893-9659

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✦ Synopsis

we present a two-dimensional continuous time dynamical system modeling a predatorprey food chain, and based on's modified version of the Leslie-Gower scheme and on the Holling-type II scheme. The main result i$ given in terms of boundedness of solutions, existence of an attracting set and global stability of the coexisting interior equilibrium.

📜 SIMILAR VOLUMES

Dynamic behaviors of the periodic predat
Dynamic behaviors of the periodic predator–prey model with modified Leslie-Gower Holling-type II schemes and impulsive effect
✍ Xinyu Song; Yongfeng Li 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 695 KB

In this paper, a predator-prey system which based on a modified version of the Leslie-Gower scheme and Holling-type II scheme with impulsive effect are investigated, where all the parameters of the system are time-dependent periodic functions. By using Floquet theory of linear periodic impulsive equ