Analysis of Eco-epidemiological SIS Model under Sparse Effect

2019 5th International Conference on Energy Materials and Environment Engineering

能源学;生态环境科学

Zhang, Yong-Po^1 ; Ma, Ming-Juan^1 ; Li, Xue-Fei^1

Teaching and Research Section of Mathematics, Aviation University of Air Force, changchun

130000, China^1

关键词: Boundary equilibrium;    Global asymptotical stability;    Latent roots;    Local asymptotical stabilities;    Positive equilibrium;    SIS model;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/295/2/012010/pdf
DOI  :  10.1088/1755-1315/295/2/012010

学科分类：环境科学（综合）

来源: IOP

【 摘 要 】

In this paper we formulated and analyzed the eco-epidemiological SIS model under sparse effect, and the sufficient condition of the local asymptotical stability of the equilibrium was studied with the method of latent root, analyze the global asymptotical stability of the boundary equilibriums, and also discuss the local asymptotical stability of the positive equilibrium, and established the sufficient condition of their stability.