Abstract—Human at different age-group is susceptible to mosquito bites at different level due to their age-specific activity behavior when infected-treated bed-nets are used to prevent human from infection f malaria. In this paper, an age-structured mathematical model of malaria with heterogeneous mosquito biting pattern is proposed. The force of infection is formulated by a Bayesian formula by introducing biting probability of a mosquito bite different among different age groups. The resulting mathematical model is a system of mixed age-structured model and ordinary differential equations. An efficient numerical scheme is derived. Numerical simulation was done to simulate the malaria transmission in Nigeria.

Index Terms—Age-structure, heterogenous mosquito biting, Bayesian formula.

Ruijun Zhao and Sho Kawakami are with Department of Mathematics and Statistics, Minnesota State University, Mankato, MN 56001 USA.

Cite:Ruijun Zhao, Sho Kawakami, "An Age-Structured Mathematical Model of Malaria with Heterogenous Mosquito Biting Pattern," International Journal of Applied Physics and Mathematics vol. 11, no. 1, pp. 9-16, 2021.

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