Uniform Asymptotic Stability of Sir Model with Distributed Delay: A Case Study of Nipha Virus
DOI:
https://doi.org/10.17762/msea.v71i4.1540Abstract
This paper investigates the dynamical system of Susceptible, Infected, Recovered (SIR) cases of Nipha Virus transmission disease. The system of equation incorporates the compartment SIR model with distributed delay from the range [0,h]. The qualitative analysis such as the expected existence and unique equilibrium points were performed. Uniform boundedness of the solved equilibrium points was examined by using appropriate conditions. To track the local stability of the virus free equilibrium and persist of the endemic equilibrium using basic reproduction number . If less than unity there exist a disease free equilibrium point which is locally asymptotically stable whereas if greater than unity the given endemic equilibrium point is locally asymptotically stable. The linear matrix inequality (LMI) approach is used to find the uniform asymptotic stability for the constructed model. The support of LMI Matlab toolbox, the feasibility of the solution was obtained. Finally the Graphical numerical simulations are investigate the spread of the influence of the parameter through MATLAB.