摘要
主要对一类具有交错扩散项的捕食-被捕食模型进行了稳定性分析,得出结论:交错扩散可以改变自扩散系统恒定正稳态的稳定性,即交错扩散可导致系统Turing不稳定性的发生和消失,并将结论通过数值模拟进行了进一步验证.
In this paper,we mainly analyze the stability of a predator-prey model with cross diffusion terms.We conclude that the cross diffusion can change the stability of the steady state of the self diffusion system,that is,cross diffusion can lead to the occurrence and disappearance of Turing instability.Furthermore,the conclusion is verified by numerical simulation.
作者
马建萍
MA Jian-ping(College of Mathematics and Statistics,Qinghai Normal University,Xining 810008,China)
出处
《青海师范大学学报（自然科学版）》
2020年第4期1-7,共7页
Journal of Qinghai Normal University(Natural Science Edition)
基金
青海师范大学校级教研项目(高等数学网络课程)。
关键词
局部渐进稳定性
交错扩散
Turing不稳定性
空间斑图
positive equilibrium point
locally asymptotic stability
general diffusion
cross-diffusion
Turing instability
spatial pattern
