ORCID
https://orcid.org/0009-0004-1778-0290
Year
2025
Season
Spring
Paper Type
Master's Thesis
College
College of Arts and Sciences
Degree Name
Master of Science in Mathematical Sciences (MS)
Department
Mathematics & Statistics
NACO controlled Corporate Body
University of North Florida. Department of Mathematics and Statistics
Committee Chairperson
Dr. Mohammad M. Rahman
Second Advisor
Dr. Mei-Qin Zhan
Third Advisor
Dr. Kening Wang
Department Chair
Dr. Richard F. Patterson
College Dean
Dr. Kaveri Subrahmanyam
Abstract
This study investigates the dynamics of mutualistic relationships between two prey species in the presence of a predator, by taking into account herding in one species along with the influence of carrying capacities between two prey species. These mutualistic dynamics are presented by constructing two mathematical models, namely an indirect and direct mutualism model. As the strength of the symbiotic relationship increases the indirect model goes through transcritical bifurcation to Hopf bifurcation whereas in the direct mutualism model goes through saddle-node bifurcation to Hopf bifurcation.
Suggested Citation
Djokoto, Felix Dela, "Dynamics of prey-prey mutualism with varying carrying capacity and herd behavior in the presence of predator" (2025). UNF Graduate Theses and Dissertations. 1341.
https://digitalcommons.unf.edu/etd/1341
Included in
Dynamic Systems Commons, Non-linear Dynamics Commons, Ordinary Differential Equations and Applied Dynamics Commons