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

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.

G C Hazarika¹ Anuradha Bhattacharjee¹

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

Published

February 2011

Manuscript received

24 July 2009