A Mathematical Model of the Dynamics of Rickettsia rickettsii in Tick-Host Interactions
This paper studies the dynamics of the tick population affected by Rickettsia rickettsii in order to understand how this disease affects other species. This project modifies the Busenberg-Cooke (BC) model to better account for biological aspects. Mathematical analysis assesses the effect of parameters on the dynamics of the model. One main result is obtained: the populations behavior is found to be chaotic in a region of parameter space that differs from that observed in the BC model. More importantly, the nature of the attractors seems qualitatively different.
Mary Alderete, Arizona State University
Carlos Castillo-Garsow, Ithaca High School
Guarionex Salivia, Universidad de Puerto Rico-Rio Piedras
Carlos Lara-Moreno, Universidad Nacional Autónoma de México
Gina Ramírez, California State University-Dominguez Hills
Monica Yichoy, Cornell University