𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Coexistence steady states in a predator–prey model

✍ Scribed by Christoph Walker


Publisher
Springer
Year
2010
Tongue
English
Weight
225 KB
Volume
95
Category
Article
ISSN
0003-889X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Coexistence problem for a prey–predator
✍ Kousuke Kuto; Yoshio Yamada 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 346 KB

We study a prey-predator model with nonlinear diffusions. In a case when the spatial dimension is less than 5, a universal bound for coexistence steady-states is found. By using the bound and the bifurcation theory, we obtain the bounded continuum of coexistence steady-states.

Global asymptotic stability of positive
✍ Mingxin Wang; Peter Y.H. Pang 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 223 KB

In this work, we study a ratio-dependent prey-predator model with diffusion and homogeneous Neumann boundary condition. We prove that the unique positive constant steady state is locally and uniformly stable, and is globally asymptotically stable under some assumptions. The proof uses the iteration