Abstract
We propose a mathematical model for malaria with age-heterogeneous biting rate from mosquitos. The existence of the model, the local behavior of the disease free equilibrium are explored. Furthermore the model is extended to an optimal control problem and the corresponding adjoint equations and optimality conditions are derived. Age dependent parameter values are estimated and numerical simulations are carried out for the model. The new model better accounts for difference in biting rates of mosquitos to different age groups, and improvements in stability to the explicit algorithm. The optimal control is also shown to depend on the age distribution of the biting rate.
Advisor
Ruijun Zhao
Committee Member
Ke Zhu
Committee Member
Dat Cao
Date of Degree
2020
Language
english
Document Type
Thesis
Degree
Master of Science (MS)
Department
Mathematics and Statistics
College
Science, Engineering and Technology
Recommended Citation
Kawakami, S. (2020). A mathematical model for malaria with age-heterogeneous biting rate [Master’s thesis, Minnesota State University, Mankato]. Cornerstone: A Collection of Scholarly and Creative Works for Minnesota State University, Mankato. https://cornerstone.lib.mnsu.edu/etds/1009/
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