Stability analysis of two new SIRS models with two viruses

ABSTRACT

In this paper, we propose two new kinds of Susceptible, Infective, Removed and Susceptible (SIRS) models with two viruses: continuous SIRS model and discrete-time SIRS model. We obtain sufficient conditions for existence and local stability of the disease-free equilibria and the endemic equilibria in the two models. Moreover, we use numerical simulations to illustrate the validity of our results.

KEYWORDS:

• Continuous SIRS model
• discrete-time SIRS model
• disease-free equilibrium
• endemic equilibrium
• stability

2000 AMS SUBJECT CLASSIFICATIONS:

• 34C05
• 34D05
• 92D30

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

Supported by Endeavour Research Fellowship (5395-2016)(Granted by Department of Education and Training, Australian Government).