Multi-dimensional discrete Halanay inequalities and the global stability of the disease free equilibrium of a discrete delayed malaria model

作者：Wu, Chunqing; Wong, Patricia J. Y.^*

来源：Advances in Difference Equations, 2016, 2016(1): 113.

DOI：10.1186/s13662-016-0840-4

• discrete Halanay-type inequalities
• multi-dimension
• global asymptotical stability
• nonsingular M-matrix
• malaria transmission
• time delay

In this paper, we establish two multi-dimensional discrete Halanay-type inequalities. As an application, we consider a malaria transmission model with two delays and employ the two discrete Halanay-type inequalities to establish the global (exponential) asymptotical stability of the disease free equilibrium of the model. It is further shown that the disease free equilibrium of the delayed model is globally asymptotically stable when the basic reproduction number of the model is less than 1.

• 出版日期2016-4-23
• 单位常州大学