一类考虑溶解氧的浮游生态模型及稳定性分析  

Stability Analysis for a Planktonic Ecological Model with Dissolved Oxygen

作　　者：庄科俊[1] ZHUANG Kejun(School of Statistics and Applied Mathematics,Anhui University of Finance and Economics,Bengbu 233030,China)

机构地区：[1]安徽财经大学统计与应用数学学院,安徽蚌埠233030

出　　处：《太原师范学院学报（自然科学版）》2020年第2期37-40,共4页Journal of Taiyuan Normal University:Natural Science Edition

基　　金：安徽省高校自然科学研究重点项目(KJ2020A0016).

摘　　要：针对一类溶解氧-浮游植物-浮游动物的反应扩散模型,首先得到了解的存在唯一性、最终一致有界性、非持续性等基本性质,然后分别研究了半平凡平衡解和正平衡解的局部渐近稳定性.A dissolved oxygen-phytoplankton-zooplankton reaction-diffusion model is considered.The basic properties of solutions are first discussed,such as existence,uniqueness,ultimately boundedness,non-persistence and so on.Then,the stability results for nonnegative equilibrium solutions are obtained by linear stability theory.

关 键 词：溶解氧 浮游生态系统 反应扩散 稳定性 

分 类 号：O175.2[理学—数学]