Analysis on dynamics of a population model with predator-prey-dependent functional response

作者：Jia Yunfeng

来源：Applied Mathematics Letters, 2018, 80: 64-70.

DOI：10.1016/j.am1.2018.01.006

• Predator-prey model
• Global attractor
• Uniform persistence
• Stability

We consider a reaction diffusion population model with predator prey-dependent functional response. Firstly, we discuss the conditions which ensure the model has a unique positive constant solution. Secondly, we investigate the dynamical properties of the model, including the large time behaviors of the nonconstant solutions and the local and the global asymptotic stability of the positive constant solution.

• 出版日期2018-6
• 单位陕西师范大学