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Modeling Spread Of Polio With The Role Of Vaccination, Manju Agarwal, Archana S. Bhadauria
Modeling Spread Of Polio With The Role Of Vaccination, Manju Agarwal, Archana S. Bhadauria
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we have proposed and analyzed a nonlinear mathematical model for the spread of Polio in a population with variable size structure including the role of vaccination. A threshold parameter, R , is found that completely determines the stability dynamics and outcome of the disease. It is found that if R 1, the disease free equilibrium is stable and the disease dies out. However, if R >1, there exists a unique endemic equilibrium that is locally asymptotically stable. Conditions for the persistence of the disease are determined by means of Fonda’s theorem. Moreover, numerical simulation of the proposed …