Date of Graduation
Spring 2012
Degree
Master of Natural and Applied Science in Mathematics
Department
Mathematics
Committee Chair
Jorge Rebaza
Abstract
The dynamics of two predator-prey models with differing types of prey refuge and the same threshold harvesting policy are studied. Local and global stability properties of the equilibria are analyzed, with emphasis placed on the coexistence of species. How harvesting and refuge affect the dynamics of the systems is analyzed. Sufficient conditions for the existence and non-existence of periodic solutions for each system are established. The existence of several bifurcations for each system is also established analytically and numerically.
Keywords
predator-prey models, threshold harvesting, dynamical systems, phase portraits, periodic solutions, bifurcations
Subject Categories
Mathematics
Copyright
© Justin Scott Ricklefs
Recommended Citation
Ricklefs, Justin Scott, "Stability and Bifurcation Analysis of Two Predator-Prey Models With Refuge and Threshold Harvesting" (2012). MSU Graduate Theses. 2736.
https://bearworks.missouristate.edu/theses/2736
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