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Mathematical Study on Impact of Temperature in Malaria Disease Transmission Dynamics

Journal: Advances in Computer Sciences (Vol.1, No. 2)

Publication Date:

Authors : ;

Page : 1-8

Keywords : Malaria; Temperature; Basic Reproduction Number; Stability;

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Abstract

Malaria is one of the most common mosquito borne diseases. Temperature is an important factor which affects the life cycle of the mosquitoes and transmission dynamics of the malaria disease. In the present work, we use SEIR compartmental model for the human population and LSEI compartmental model for mosquito population taking temperature dependent parameters. Basic reproduction number, R0 of the model is computed using Next Generation Matrix Method. Stability of the disease free equilibrium and the existence of the endemic equilibrium point are discussed by basic reproduction number, R0 . Numerical results are carried out with different temperature levels. It is observed that temperature affects the transmission dynamics of malaria disease significantly.

Last modified: 2019-08-23 19:07:23