Date of Award
2019
Document Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematical Sciences
Committee Chair
Huang Wenzhang
Committee Member
Shangbing Ai
Committee Member
Kenneth B. Howell
Subject(s)
Predation (Biology)--Mathematical models, Global analysis (Mathematics), Differentiable dynamical systems
Abstract
In this paper, using a geometric approach, we study the global stability for a class of predator-prey model with an Ivlev-type functional response. We obtained this by sufficient conditions on the systems parameters, which guarantee that the positive equilibrium point of the presented system is globally asymptotically stable. Our results improve the previously obtained results from Xiaoqin Wang and Huihai Ma [1]. We conjecture that the local and global stability of the positive equilibrium are equivalent. Our conjecture is supported by numerical simulations. The theoretical proof will be our future research effort.
Recommended Citation
Murukan, Soniykha Dhevi, "A geometric approach for global stability of a predator-prey model with an Ivlev-type functional response" (2019). Theses. 297.
https://louis.uah.edu/uah-theses/297