Global Stability of a Virus Infection Model with Time Delay and Absorption | Zendy

Xiaohong Tian | Zendy; Rui Xu | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Global Stability of a Virus Infection Model with Time Delay and Absorption

Author(s) -

Xiaohong Tian,

Rui Xu

Publication year - 2011

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2011/152415

Subject(s) - stability (learning theory) , stability theory , basic reproduction number , reproduction , absorption (acoustics) , mathematics , control theory (sociology) , physics , computer science , biology , ecology , control (management) , medicine , quantum mechanics , optics , nonlinear system , machine learning , artificial intelligence , population , environmental health

In this paper, a virus infection model with time delay and absorption is studied. By analyzing the corresponding characteristic equations, the local stability of each of feasible equilibria of the model is established. By using comparison arguments, it is shown that the infection free equilibrium is globally asymptotically stable when the basic reproduction ratio is less than unity. When the basic reproduction ratio is greater than unity, sufficient conditions are derived for the global stability of the virus-infected equilibrium. Numerical simulations are carried out to illustrate the theoretical results

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research