Mathematical Model for Antimicrobial Resistance Transmission Dynamics in Hospitals
Fredrick Oraro
Maseno University, Box 333-40103, Maseno Kenya.
David Ambogo *
Maseno University, Box 333-40103, Maseno Kenya.
Richard Opiyo
Maseno University, Box 333-40103, Maseno Kenya.
*Author to whom correspondence should be addressed.
Abstract
In this study, we formulate and analyze a mathematical model to describe the possible transmission routes of Antimicrobial Resistance (A.M.R) in a hospital setting. We have examined the significant means of transmission of resistance in hospitals and found that the significant means of transmission is the use of antibiotics and through the contamination by health care workers. It has been shown that the resistance free equilibrium point is locally asymptotically stable. We have also shown that the model has a unique positive endemic equilibrium point which is locally asymptotically stable.
Keywords: AMR, local stability, numerical simulation, reproduction number