Existence of weak solutions for two point boundary value problems of Schrödingerean predator-prey system and their applications

Advances in Difference Equations

Fengjiao L¹  Tanriver lker² 

[1] College of Information Engineering, Huanghe Science and Technology College, Zhengzhou, China;Departamento de Matemática, FCE, Universidad Austral, Rosario, Argentina

关键词: existence;    stability;    Schrödingerean predator-prey system;    boundary value problem;   

DOI  :  10.1186/s13662-017-1213-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By means of a variational analysis and the theory of variable exponent Sobolev spaces, the existence of weak solutions for two point boundary value problems of Schrödingerean predator-prey system with latent period is investigated either analytically or numerically. More precisely, the local stability of the Schrödingerean equilibrium and endemic equilibrium of the model are discussed in detail. And we specially analyzed the existence and stability of the Schrödingerean Hopf bifurcation by using the center manifold theorem and the bifurcation theory. As applications, theoretic analysis and numerical simulation show that the Schrödingerean predator-prey system with latent period has very rich dynamic characteristics.

【 授权许可】

CC BY