Mathematical Modeling and Optimal Control of Pathogen Dynamics
Location
CSU 204
Start Date
9-4-2012 10:00 AM
End Date
9-4-2012 11:00 AM
Student's Major
Mathematics and Statistics
Student's College
Science, Engineering and Technology
Mentor's Name
Namyong Lee
Mentor's Department
Mathematics and Statistics
Mentor's College
Science, Engineering and Technology
Description
Even with recent improvements, the agricultural production is still highly affected by pathogens. In many agricultural systems, farmers use chemicals to fight against pathogens which degrade the overall farming production. However, those excessive using of chemicals create health issues for consumers and the environmental problems.
In this project, we suggested an alternative way of controlling strategy for pathogen dynamics such that the output of the farming system (food) contributes in the preservation of human health. For this purpose, we adopted various population dynamics models, such as predator-prey model for instance, to understand the interaction between crop and pathogens. In addition, base on our experimental models, we performed optimal control through the Pontryagin’s maximum principle. Computer simulations were performed for these mathematical models and the results were analyzed.
Mathematical Modeling and Optimal Control of Pathogen Dynamics
CSU 204
Even with recent improvements, the agricultural production is still highly affected by pathogens. In many agricultural systems, farmers use chemicals to fight against pathogens which degrade the overall farming production. However, those excessive using of chemicals create health issues for consumers and the environmental problems.
In this project, we suggested an alternative way of controlling strategy for pathogen dynamics such that the output of the farming system (food) contributes in the preservation of human health. For this purpose, we adopted various population dynamics models, such as predator-prey model for instance, to understand the interaction between crop and pathogens. In addition, base on our experimental models, we performed optimal control through the Pontryagin’s maximum principle. Computer simulations were performed for these mathematical models and the results were analyzed.
Recommended Citation
Paguem, Patrick Manfo; Tyler Metzer; and Tyler Jones. "Mathematical Modeling and Optimal Control of Pathogen Dynamics." Undergraduate Research Symposium, Mankato, MN, April 9, 2012.
https://cornerstone.lib.mnsu.edu/urs/2012/oral-session-04/2
