Description

Using a simple $SI$ infection model, I uncover the

overall dynamics of the system and how they depend on the incidence

function. I consider both an epidemic and endemic perspective of the

model,

Using a simple $SI$ infection model, I uncover the

overall dynamics of the system and how they depend on the incidence

function. I consider both an epidemic and endemic perspective of the

model, but in both cases, three classes of incidence

functions are identified.

In the epidemic form,

power incidences, where the infective portion $I^p$ has $p\in(0,1)$,

cause unconditional host extinction,

homogeneous incidences have host extinction for certain parameter constellations and

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    Date Created
    • 2017
    Resource Type
  • Text
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    Note
    • Partial requirement for: Ph.D., Arizona State University, 2017
      Note type
      thesis
    • Includes bibliographical references (pages 213-218)
      Note type
      bibliography
    • Field of study: Mathematics

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    by Alex Farrell

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