Positive Steady States of a Prey-predator Model with Diffusion and Non-monotone Conversion Rate

Authors
Peng, Rui Wang, Ming Xin CHEN, Wen Yan
Citation
Peng, Rui et al., Positive Steady States of a Prey-predator Model with Diffusion and Non-monotone Conversion Rate, Acta mathematica Sinica. English series (Print) , 23(4), 2007, pp. 749-760
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
23
Issue
4
Year of publication
2007
Pages
749 - 760
Database
ACNP
SICI code
Abstract
In this paper, we study the positive steady states of a prey-predator model with diffusion throughout and a non-monotone conversion rate under the homogeneous Dirichlet boundary condition. We obtain some results of the existence and non-existence of positive steady states. The stability and uniqueness of positive steady states are also discussed.