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Non-constant stationary solutions to a prey-predator model with diffusion

✍ Scribed by Ming Yang; Wen-yan Chen

Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2008
Tongue
English
Weight
213 KB
Volume
25
Category
Article
ISSN
0168-9673

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✍ Xianzhong Zeng 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 281 KB

This paper deals with the existence and nonexistence of nonconstant positive steady-state solutions to a ratio-dependent predator-prey model with diffusion and with the homogeneous Neumann boundary condition. We demonstrate that there exists a 0 (b) satisfying 0 < a 0 (b) < m 1 for 0 < b < m 1 , suc