Qualitative analysis of a diffusive variable-territory prey-predator model

  title={Qualitative analysis of a diffusive variable-territory prey-predator model},
  author={M. Wang and P. Pang},
  journal={Discrete and Continuous Dynamical Systems},
  • M. Wang, P. Pang
  • Published 2008
  • Mathematics
  • Discrete and Continuous Dynamical Systems
In this paper, we study the variable-territory prey-predator model. We first establish the global stability of the unique positive constant steady state for the ODE system and the reaction diffusion system, and then prove the existence, uniqueness and stability of positive stationary solutions for the heterogeneous environment case. 
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