Analysis of a malaria model with mosquito-dependent transmission coefficient for humans |
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Authors: | G C HAZARIKA ANURADHA BHATTACHARJEE |
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Institution: | (1) Centre for Cellular and Molecular Biology (CSIR), Uppal Road, Hyderabad, 500007, India |
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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. |
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Keywords: | |
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