Date of Award
Doctor of Philosophy (PhD)
Dr. Elena Dimitrova, Committee Chair
Dr. Oleg Yordanov
Dr. Eleanor Jenkins
Dr. Brian Dean
Dr. Matthew Macauley
Work by Cushing et al.  and Kot et al.  demonstrate that chaotic behavior does occur in biological systems. We demonstrate that chaotic behavior can enable the survival/thriving of the species involved in a system. We adopt the concepts of persistence/permanence as measures of survival/thriving of the species . We utilize present chaotic behavior and a control algorithm based on [66, 72] to push a non-permanent system into permanence. The algorithm uses the chaotic orbits present in the system to obtain the desired state. We apply the algorithm to a Lotka-Volterra type two-prey, one-predator model from , a ratio-dependent one-prey, two-predator model from  and a simple prey-specialist predator-generalist predator (for ex: plant-insect pest-spider) interaction model  and demonstrate its eﬀectiveness in taking advantage of chaotic behavior to achieve a desirable state for all species involved.
Chenthittayil, Sherli Koshy, "Chaos to Permanence - Through Control Theory" (2017). All Dissertations. 2034.