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

• DOI: 10.1007/s10255-007-7022-9
• Publication Date: 2008-11-04T14:54:09Z
• Authors: Ming Yang; Wen-yan Chen
• Keywords: 0101 mathematics; 01 natural sciences

In this paper, a nonlinear predator reproduction and prey competition model with diffusion is discussed. Some existence and non-existence results concerning non-constant positive steady-states are presented using topological degree argument and the energy method, respectively.