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Modeling the Tradeoff between Transmission and Movement in Infectious Disease Dynamics

Deger, Kristen Alanna
http://rave.ohiolink.edu/etdc/view?acc_num=osu1397509244

Abstract Details

2014, Master of Mathematical Sciences, Ohio State University, Mathematics.
Transmission of infectious diseases can occur when infected individuals contact healthy individuals. For certain infectious diseases the severity of the infection can be measured by the amount of pathogen an infected individual is shedding, with higher shedding rates corresponding to more severe infections. As pathogen shedding increases the probability of transmission given contact increases. However, symptoms associated with a severe infection may lead to less travel and thus fewer contacts. We examine how this tradeoff between transmission and movement influences infectious disease dynamics. To capture this tradeoff we developed a single strain model for which contact scales with transmissibility. The effect of the tradeoff on the spread of disease was explored by analyzing the basic reproduction number of the model. We determined sufficient conditions for when the basic reproduction number is a monotone increasing function of the probability of transmission. From this analysis we found that the tradeoff in the model allows for non-monotonic behavior of the basic reproduction number. The model was then extended to include two strains of an infectious disease. We examined whether competitive exclusion between the two strains occurs or whether coexistence is possible, and the effect of the tradeoff on strain competition. Numerical results suggest that competitive exclusion always occurs regardless of whether the basic reproduction number is monotone with respect to the probability of transmission.
Joseph Tien (Advisor)
Yuan Lou (Committee Member)
68 p.
Mathematics

Recommended Citations

Citations

  • Deger, K. A. (2014). Modeling the Tradeoff between Transmission and Movement in Infectious Disease Dynamics [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1397509244

    APA Style (7th edition)

  • Deger, Kristen. Modeling the Tradeoff between Transmission and Movement in Infectious Disease Dynamics. 2014. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1397509244.

    MLA Style (8th edition)

  • Deger, Kristen. "Modeling the Tradeoff between Transmission and Movement in Infectious Disease Dynamics." Master's thesis, Ohio State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=osu1397509244

    Chicago Manual of Style (17th edition)

osu1397509244
366
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This open access ETD is published by The Ohio State University and OhioLINK.