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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/121/01/0093-0109

    • Keywords

       

      Transmission coefficient for humans; immigration; reservoir class of humans.

    • Abstract

       

      In this paper, we discuss an ordinary differential equation mathematical model for the spread of malaria in human and mosquito population. We suppose the human population to act as a reservoir. Both the species follow a logistic population model. The transmission coefficient or the interaction coefficient of humans is considered to be dependent on the mosquito population. It is seen that as the factors governing the transmission coefficient of humans increase, so does the number of infected humans. Further, it is observed that as the immigration constant increases, it leads to a rise in infected humans, giving an endemic shape to the disease.

    • Author Affiliations

       

      G C Hazarika1 Anuradha Bhattacharjee1

      1. Department of Mathematics, Dibrugarh University, Dibrugarh 786 004, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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