Mathematical Model of Pertussis and Pneumonia Co-Infection in Infants with Maternally Derived Immunity

The transmission dynamics of a pertussis-pneumonia co-infection model is analyzed. takes into account temporary immunity infected infants and includes maternally derived compartment. basic reproduction number the co-infected obtained using next generation matrix, stability analysis carried out. exhibits four equilibria, namely, pertussis-free equilibrium, pneumonia-free co-infection-free equilibrium endemic equilibrium. Subsequently, local analyzed shown to be locally asymptotically stable. Similarly, by constructing suitable Lyapunov function, globally Numerical simulations are out illustrate validity these results.