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Mathematical model for malaria with mosquito-dependent coefficient for human population with exposed class

Authors:

Ram Singh,

Department of Mathematical Sciences, Baba Ghulam Shah Badshah, University, Rajouri, J&K (India), IN
About Ram
Department of Mathematical Sciences, Baba Ghulam Shah Badshah, University, Rajouri, J&K (India)
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Shoket Ali ,

IN
About Shoket
Department of Mathematics, Lovely Professional University, Jalandhar, Punjab, (India)

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Madhu Jain,

IN
About Madhu
Department of Mathematics, Indian Institute of Technology Roorkee,UK, ( India)

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Ather Aziz Raina

IN
About Ather
Department of Mathematics, Govt. Post Graduate College, Rajouri, J&K, (India)
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Abstract

In this paper, a SEIR (Susceptible, Exposed, Infectious and Recovered) mathematical model of transmission dynamics of malaria was proposed. In the model, mosquito population acts as the vector population and depends upon the human population for its growth and survival. It was shown that the environmental factors are conducive to the spread of malaria disease. It was also found that effective control programming against the spread of malaria is helpful in reducing the transmission dynamics of the disease. Sensitivity analysis was performed to show that spraying of pesticides and proper drainage system will effectively control the disease.

How to Cite: Singh, R., Ali, S., Jain, M. and Raina, A.A., 2019. Mathematical model for malaria with mosquito-dependent coefficient for human population with exposed class. Journal of the National Science Foundation of Sri Lanka, 47(2).
Published on 23 May 2019.
Peer Reviewed

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