doi: 10.17706/ijapm.2021.11.1.9-16
An Age-Structured Mathematical Model of Malaria with Heterogenous Mosquito Biting Pattern
- Department of Mathematics and Statistics, Minnesota State University, Mankato, MN 56001 USA.
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.
Keywords
- Age-structure
- heterogenous mosquito biting
- Bayesian formula
How to Cite
Ruijun Zhao and 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. https://doi.org/ 10.17706/ijapm.2021.11.1.9-16
Copyright & License
Copyright © 2021 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).