COMING SOON! PQDT Open is getting a new home!

ProQuest Open Access Dissertations & Theses will remain freely available as part of a new and enhanced search experience at www.proquest.com.

Questions? Please refer to this FAQ.

Dissertation/Thesis Abstract

A Geometric Approach for Global Stability of a Predator-Prey Model with an Ivlev-Type Functional Response
by Murukan, Soniykha Dhevi, M.S., The University of Alabama in Huntsville, 2019, 43; 27547839
Abstract (Summary)

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. 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.

Indexing (document details)
Advisor: Huang, Wenzhang
Commitee: Ai, Shangbing, Howell, Kenneth
School: The University of Alabama in Huntsville
Department: Mathematical Sciences
School Location: United States -- Alabama
Source: MAI 81/5(E), Masters Abstracts International
Source Type: DISSERTATION
Subjects: Applied Mathematics, Ecology
Keywords: Dynamical systems, Global stability, Ivlev-type functional response, Positive equilibrium, Predator-prey model
Publication Number: 27547839
ISBN: 9781392819746
Copyright © 2021 ProQuest LLC. All rights reserved. Terms and Conditions Privacy Policy Cookie Policy
ProQuest