A Mathematical Model of Malaria Disease with Vertical Transmission

  •  Nidhi Nirwani    
  •  V.H. Badshah    
  •  R. Khandelwal    


In this paper, we analyzed dynamics of malaria disease by a compartment model involving ordinary differential equations for the human and mosquito populations. An equivalent system is obtained, which has two equilibriums: a disease-free equilibrium and an endemic equilibrium. The stability of these two equilibriums is controlled by the basic reproduction number R0. In this model the disease-free equilibrium state is stable if R0<1 and if R0>1, the endemic equilibrium stable. The analytical predictions are conformed by numerical simulation and graphical results.

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