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A ratio-dependent predator–prey model with diffusion

✍ Scribed by Xianzhong Zeng

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
281 KB
Volume
8
Category
Article
ISSN
1468-1218

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✦ Synopsis

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 , such that if 0 < b < m 1 and a 0 (b) < a < m 1 , then the diffusion can create nonconstant positive steady-state solutions; whereas the diffusion cannot do provided a > m 1 .

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