Qualitative analysis of a diffusive ratio-dependent Holling-tanner predator-prey model with smith growth

Abstract

We investigated the dynamics of a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth subject to zero-flux boundary condition. Some qualitative properties, including the dissipation, persistence, and local and global stability of positive constant solution, are discussed. Moreover, we give the refined a priori estimates of positive solutions and derive some results for the existence and nonexistence of nonconstant positive steady state. © 2013 Zongmin Yue and Wenjuan Wang.