𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Qualitative analysis of predator-prey models with Beddington-DeAngelis functional response and diffusion

✍ Scribed by Wenyan Chen; Mingxin Wang

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
730 KB
Volume
42
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, a predator-prey system with Beddington-De Angelis functional response and diffusion is considered. First, we study qualitative properties of solutions to this reaction-diffusion system. Then, by ,zsing topological degree, we establish the existence of the nonconstant positive steady-states.

📜 SIMILAR VOLUMES

On the Dynamics of Predator–Prey Models
On the Dynamics of Predator–Prey Models with the Beddington–DeAngelis Functional Response
✍ Robert Stephen Cantrell; Chris Cosner 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 129 KB

The dynamics of predator-prey models with the Beddington-DeAngelis functional response are analyzed, primarily from the viewpoint of permanence (uniform persistence). The Beddington-DeAngelis functional response is similar to the Holling type 2 functional response but contains an extra term describi

Study on a non-autonomous predator–prey
Study on a non-autonomous predator–prey system with Beddington–DeAngelis functional response
✍ Zhijun Zeng; Meng Fan 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 629 KB

In this paper, a predator-prey system with Beddington-DeAngelis functional response is studied, where the predator preys on n competing preys. We prove that the system admits very rich dynamics, including permanence, ultimate boundedness, extinction. Moreover, under some appropriate assumptions, the

Global stability of a nonlinear stochast
Global stability of a nonlinear stochastic predator–prey system with Beddington–DeAngelis functional response
✍ Meng Liu; Ke Wang 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 276 KB

Stochastically asymptotic stability in the large of a predator-prey system with Beddington-DeAngelis functional response with stochastic perturbation is considered. The result shows that if the positive equilibrium of the deterministic system is globally stable, then the stochastic model will preser