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The Coexistence States of a Predator-Prey Model with

✍ Scribed by Yunfeng Jia; Jianhua Wu; Hua Nie

Publisher
Springer Netherlands
Year
2008
Tongue
English
Weight
397 KB
Volume
108
Category
Article
ISSN
0167-8019

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Coexistence problem for a prey–predator
Coexistence problem for a prey–predator model with density-dependent diffusion
✍ 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.