Event Title

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.

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Apr 9th, 10:00 AM Apr 9th, 11:00 AM

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.
http://cornerstone.lib.mnsu.edu/urs/2012/oral-session-04/2