本文研究带有修正Holling-Ⅱ型响应函数的捕食模型和Neumman初边值问题.首先应用比较原理研究解的大时间性态包括耗散性、持久性、稳定性,其次,由能量方法得到非常数正稳态解的不存在性.
This paper concerns a diffusive predator-prey model with revised Holling typeⅡresponse and no-flux boundary condition.The large time behavior of the solution including dissipation,persistence and stability is studied by use of the comparison principle.In addition by energy method,the nonexistence of the nonconstant positive steady solution is also obtained.